#include "tiling_wave_form_collapse.h" // 0th index is the count // Generate the map associating an orientation id to the orientation // id obtained when rotating 90° anticlockwise the tile. const uint8_t Tile::rotation_map[6][9] = { { 1, 0 }, // SYMMETRY_X { 4, 1, 2, 3, 0 }, // SYMMETRY_T { 2, 1, 0 }, // SYMMETRY_I { 4, 1, 2, 3, 0 }, // SYMMETRY_L { 2, 1, 0 }, // SYMMETRY_BACKSLASH { 8, 1, 2, 3, 0, 5, 6, 7, 4 }, // SYMMETRY_P }; // 0th index is the count // Generate the map associating an orientation id to the orientation // id obtained when rotating 90° anticlockwise the tile. const uint8_t Tile::reflection_map[6][9] = { { 1, 0 }, // SYMMETRY_X { 4, 0, 3, 2, 1 }, // SYMMETRY_T { 2, 0, 1 }, // SYMMETRY_I { 4, 1, 0, 3, 2 }, // SYMMETRY_L { 2, 1, 0 }, // SYMMETRY_BACKSLASH { 8, 4, 7, 6, 5, 0, 3, 2, 1 }, // SYMMETRY_P }; // Generate the map associating an orientation id and an action to the // resulting orientation id. // Actions 0, 1, 2, and 3 are 0°, 90°, 180°, and 270° anticlockwise rotations. // Actions 4, 5, 6, and 7 are actions 0, 1, 2, and 3 preceded by a reflection // on the x axis. Tile::ActionMap Tile::generate_action_map(const WaveFormCollapse::Symmetry &symmetry) { int sindx = static_cast(symmetry); int size = rotation_map[sindx][0]; ActionMap action_map; for (int i = 0; i < size; ++i) { action_map.map[0].write[i] = i; } for (int a = 1; a < 4; ++a) { for (int i = 0; i < size; ++i) { action_map.map[a].write[i] = rotation_map[sindx][action_map.map[a - 1][i] + 1]; } } for (int i = 0; i < size; ++i) { action_map.map[4].write[i] = reflection_map[sindx][action_map.map[0][i] + 1]; } for (int a = 5; a < 8; ++a) { for (int i = 0; i < size; ++i) { action_map.map[a].write[i] = rotation_map[sindx][action_map.map[a - 1][i] + 1]; } } return action_map; } // Generate all distincts rotations of a 2D array given its symmetries; Vector> Tile::generate_oriented(Array2D data, WaveFormCollapse::Symmetry symmetry) { Vector> oriented; oriented.push_back(data); switch (symmetry) { case WaveFormCollapse::SYMMETRY_I: case WaveFormCollapse::SYMMETRY_BACKSLASH: oriented.push_back(data.rotated()); break; case WaveFormCollapse::SYMMETRY_T: case WaveFormCollapse::SYMMETRY_L: oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated()); break; case WaveFormCollapse::SYMMETRY_P: oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated().reflected()); oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated()); oriented.push_back(data = data.rotated()); break; default: break; } return oriented; } // Create a tile with its differents orientations, its symmetries and its weight on the distribution of tiles. Tile::Tile(const Vector> &p_data, WaveFormCollapse::Symmetry p_symmetry, double p_weight) { data = p_data; symmetry = p_symmetry; weight = p_weight; } // Create a tile with its base orientation, its symmetries and its weight on the distribution of tiles. // The other orientations are generated with its first one. Tile::Tile(const Array2D &p_data, WaveFormCollapse::Symmetry p_symmetry, double p_weight) { data = generate_oriented(p_data, p_symmetry); symmetry = p_symmetry; weight = p_weight; } // Returns false if the given tile and orientation does not exist, or if the coordinates are not in the wave bool TilingWaveFormCollapse::set_tile(int tile_id, int orientation, int i, int j) { if (tile_id >= static_cast(oriented_tile_ids.size()) || orientation >= static_cast(oriented_tile_ids[tile_id].size()) || i >= _wave_height || j >= _wave_width) { return false; } int oriented_tile_id = oriented_tile_ids[tile_id][orientation]; set_tile(oriented_tile_id, i, j); return true; } void TilingWaveFormCollapse::set_tiles(const Vector &p_tiles) { tiles = p_tiles; } void TilingWaveFormCollapse::set_neighbours(const Vector &p_neighbors) { neighbors = p_neighbors; } // Generate mapping from id to oriented tiles and vice versa. void TilingWaveFormCollapse::generate_oriented_tile_ids() { id_to_oriented_tile.clear(); oriented_tile_ids.clear(); int id = 0; for (int i = 0; i < tiles.size(); i++) { oriented_tile_ids.push_back({}); for (int j = 0; j < tiles[i].data.size(); j++) { id_to_oriented_tile.push_back(IdToTilePair(i, j)); oriented_tile_ids.write[i].push_back(id); id++; } } } // Generate the propagator which will be used in the wfc algorithm. void TilingWaveFormCollapse::generate_propagator() { int nb_oriented_tiles = id_to_oriented_tile.size(); Vector dense_propagator; dense_propagator.resize(nb_oriented_tiles); for (int i = 0; i < nb_oriented_tiles; ++i) { dense_propagator.write[i].resize(nb_oriented_tiles); } int size = neighbors.size(); for (int i = 0; i < size; ++i) { const NeighbourData &neighbour = neighbors[i]; int tile1 = neighbour.data[0]; int tile2 = neighbour.data[2]; Tile::ActionMap action_map1 = Tile::generate_action_map(tiles[tile1].symmetry); Tile::ActionMap action_map2 = Tile::generate_action_map(tiles[tile2].symmetry); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 0, 2); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 1, 0); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 2, 1); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 3, 3); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 4, 1); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 5, 3); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 6, 2); generate_propagator_add_helper(&action_map1, &action_map2, &dense_propagator, neighbour, 7, 0); } Vector propagator; propagator.resize(nb_oriented_tiles); PropagatorStateEntry *propw = propagator.ptrw(); for (int i = 0; i < nb_oriented_tiles; ++i) { for (int j = 0; j < nb_oriented_tiles; ++j) { for (int d = 0; d < 4; ++d) { if (propw[i].directions[d][j]) { propw[i].directions[d].push_back(j); } } } } set_propagator_state(propagator); } // Get probability of presence of tiles. Vector TilingWaveFormCollapse::get_tiles_weights(const Vector &tiles) { Vector frequencies; for (int i = 0; i < tiles.size(); ++i) { for (int j = 0; j < tiles[i].data.size(); ++j) { frequencies.push_back(tiles[i].weight / tiles[i].data.size()); } } return frequencies; } void TilingWaveFormCollapse::set_tile(int tile_id, int i, int j) { for (int p = 0; p < id_to_oriented_tile.size(); p++) { if (tile_id != static_cast(p)) { remove_wave_pattern(i, j, p); } } } Array2D TilingWaveFormCollapse::run() { Array2D a = WaveFormCollapse::run(); if (a.width == 0 && a.height == 0) { return Array2D(0, 0); } return id_to_tiling(a); } // Translate the generic WFC result into the image result Array2D TilingWaveFormCollapse::id_to_tiling(Array2D ids) { int size = tiles[0].data[0].height; Array2D tiling(size * ids.height, size * ids.width); for (int i = 0; i < ids.height; i++) { for (int j = 0; j < ids.width; j++) { IdToTilePair oriented_tile = id_to_oriented_tile[ids.get(i, j)]; for (int y = 0; y < size; y++) { for (int x = 0; x < size; x++) { tiling.get(i * size + y, j * size + x) = tiles[oriented_tile.id].data[oriented_tile.oriented_tile].get(y, x); } } } } return tiling; } void TilingWaveFormCollapse::initialize() { generate_oriented_tile_ids(); generate_propagator(); WaveFormCollapse::initialize(); } TilingWaveFormCollapse::TilingWaveFormCollapse() { } TilingWaveFormCollapse::~TilingWaveFormCollapse() { } void TilingWaveFormCollapse::_bind_methods() { } void TilingWaveFormCollapse::generate_propagator_add_helper(Tile::ActionMap *action_map1, Tile::ActionMap *action_map2, Vector *dense_propagator, const NeighbourData &neighbour, int action, int direction) { // -- int tile1 = neighbour.data[0]; int orientation1 = neighbour.data[1]; int tile2 = neighbour.data[2]; int orientation2 = neighbour.data[3]; int temp_orientation1 = action_map1->map[action][orientation1]; int temp_orientation2 = action_map2->map[action][orientation2]; int oriented_tile_id1 = oriented_tile_ids[tile1][temp_orientation1]; int oriented_tile_id2 = oriented_tile_ids[tile2][temp_orientation2]; dense_propagator->write[oriented_tile_id1].directions[direction].write[oriented_tile_id2] = true; direction = get_opposite_direction(direction); dense_propagator->write[oriented_tile_id2].directions[direction].write[oriented_tile_id1] = true; }