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364 lines
10 KiB
C++
364 lines
10 KiB
C++
#ifndef FAST_WFC_TILING_WFC_HPP_
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#define FAST_WFC_TILING_WFC_HPP_
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#include "core/vector.h"
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#include <unordered_map>
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#include "array_2d.h"
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#include "wfc.h"
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// The distinct symmetries of a tile.
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// It represents how the tile behave when it is rotated or reflected
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enum class Symmetry {
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X,
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T,
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I,
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L,
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backslash,
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P
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};
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/**
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// Return the number of possible distinct orientations for a tile.
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// An orientation is a combination of rotations and reflections.
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*/
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constexpr uint32_t nb_of_possible_orientations(const Symmetry &symmetry) {
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switch (symmetry) {
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case Symmetry::X:
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return 1;
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case Symmetry::I:
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case Symmetry::backslash:
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return 2;
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case Symmetry::T:
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case Symmetry::L:
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return 4;
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default:
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return 8;
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}
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}
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// A tile that can be placed on the board.
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template <typename T>
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struct Tile {
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Vector<Array2D<T>> data; // The different orientations of the tile
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Symmetry symmetry; // The symmetry of the tile
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double weight; // Its weight on the distribution of presence of tiles
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// Generate the map associating an orientation id to the orientation
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// id obtained when rotating 90° anticlockwise the tile.
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static Vector<uint32_t> generate_rotation_map(const Symmetry &symmetry) {
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switch (symmetry) {
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case Symmetry::X:
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return { 0 };
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case Symmetry::I:
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case Symmetry::backslash:
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return { 1, 0 };
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case Symmetry::T:
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case Symmetry::L:
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return { 1, 2, 3, 0 };
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case Symmetry::P:
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default:
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return { 1, 2, 3, 0, 5, 6, 7, 4 };
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}
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}
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// Generate the map associating an orientation id to the orientation
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// id obtained when reflecting the tile along the x axis.
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static Vector<uint32_t> generate_reflection_map(const Symmetry &symmetry) {
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switch (symmetry) {
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case Symmetry::X:
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return { 0 };
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case Symmetry::I:
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return { 0, 1 };
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case Symmetry::backslash:
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return { 1, 0 };
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case Symmetry::T:
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return { 0, 3, 2, 1 };
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case Symmetry::L:
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return { 1, 0, 3, 2 };
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case Symmetry::P:
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default:
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return { 4, 7, 6, 5, 0, 3, 2, 1 };
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}
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}
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// Generate the map associating an orientation id and an action to the
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// resulting orientation id.
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// Actions 0, 1, 2, and 3 are 0°, 90°, 180°, and 270° anticlockwise rotations.
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// Actions 4, 5, 6, and 7 are actions 0, 1, 2, and 3 preceded by a reflection
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// on the x axis.
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static Vector<Vector<uint32_t>> generate_action_map(const Symmetry &symmetry) {
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Vector<uint32_t> rotation_map = generate_rotation_map(symmetry);
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Vector<uint32_t> reflection_map = generate_reflection_map(symmetry);
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int size = rotation_map.size();
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Vector<Vector<uint32_t>> action_map(8, Vector<uint32_t>(size));
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for (int i = 0; i < size; ++i) {
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action_map[0][i] = i;
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}
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for (int a = 1; a < 4; ++a) {
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for (int i = 0; i < size; ++i) {
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action_map[a][i] = rotation_map[action_map[a - 1][i]];
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}
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}
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for (int i = 0; i < size; ++i) {
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action_map[4][i] = reflection_map[action_map[0][i]];
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}
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for (int a = 5; a < 8; ++a) {
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for (int i = 0; i < size; ++i) {
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action_map[a][i] = rotation_map[action_map[a - 1][i]];
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}
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}
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return action_map;
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}
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// Generate all distincts rotations of a 2D array given its symmetries;
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static Vector<Array2D<T>> generate_oriented(Array2D<T> data, Symmetry symmetry) {
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Vector<Array2D<T>> oriented;
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oriented.push_back(data);
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switch (symmetry) {
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case Symmetry::I:
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case Symmetry::backslash:
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oriented.push_back(data.rotated());
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break;
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case Symmetry::T:
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case Symmetry::L:
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated());
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break;
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case Symmetry::P:
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated().reflected());
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated());
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oriented.push_back(data = data.rotated());
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break;
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default:
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break;
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}
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return oriented;
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}
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// Create a tile with its differents orientations, its symmetries and its
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// weight on the distribution of tiles.
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Tile(Vector<Array2D<T>> data, Symmetry symmetry, double weight) :
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data(data), symmetry(symmetry), weight(weight) {}
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// Create a tile with its base orientation, its symmetries and its
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// weight on the distribution of tiles.
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// The other orientations are generated with its first one.
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Tile(Array2D<T> data, Symmetry symmetry, double weight) :
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data(generate_oriented(data, symmetry)), symmetry(symmetry), weight(weight) {}
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};
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struct TilingWFCOptions {
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bool periodic_output;
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};
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// Class generating a new image with the tiling WFC algorithm.
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template <typename T>
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class TilingWFC {
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private:
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Vector<Tile<T>> tiles;
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Vector<std::pair<uint32_t, uint32_t>> id_to_oriented_tile;
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Vector<Vector<uint32_t>> oriented_tile_ids;
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TilingWFCOptions options;
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WFC wfc;
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public:
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uint32_t height;
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uint32_t width;
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private:
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// Generate mapping from id to oriented tiles and vice versa.
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static std::pair<Vector<std::pair<uint32_t, uint32_t>>, Vector<Vector<uint32_t>>> generate_oriented_tile_ids(const Vector<Tile<T>> &tiles) {
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Vector<std::pair<uint32_t, uint32_t>> id_to_oriented_tile;
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Vector<Vector<uint32_t>> oriented_tile_ids;
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uint32_t id = 0;
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for (int i = 0; i < tiles.size(); i++) {
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oriented_tile_ids.push_back({});
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for (int j = 0; j < tiles[i].data.size(); j++) {
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id_to_oriented_tile.push_back({ i, j });
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oriented_tile_ids[i].push_back(id);
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id++;
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}
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}
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return { id_to_oriented_tile, oriented_tile_ids };
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}
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struct DensePropagatorHelper {
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Vector<bool> directions[4];
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void resize(const int size) {
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for (int i = 0; i < 4; ++i) {
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directions[i].resize(size);
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directions[i].fill(false);
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}
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}
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};
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// Generate the propagator which will be used in the wfc algorithm.
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static Vector<PropagatorStateEntry> generate_propagator(
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const Vector<NeighbourData> &neighbors,
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Vector<Tile<T>> tiles,
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Vector<std::pair<uint32_t, uint32_t>> id_to_oriented_tile,
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Vector<Vector<uint32_t>> oriented_tile_ids) {
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size_t nb_oriented_tiles = id_to_oriented_tile.size();
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Vector<DensePropagatorHelper> dense_propagator;
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dense_propagator.resize(nb_oriented_tiles);
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for (int i = 0; i < nb_oriented_tiles; ++i) {
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dense_propagator.write[i].resize(nb_oriented_tiles);
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}
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for (auto neighbor : neighbors) {
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uint32_t tile1 = std::get<0>(neighbor);
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uint32_t orientation1 = std::get<1>(neighbor);
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uint32_t tile2 = std::get<2>(neighbor);
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uint32_t orientation2 = std::get<3>(neighbor);
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Vector<Vector<uint32_t>> action_map1 = Tile<T>::generate_action_map(tiles[tile1].symmetry);
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Vector<Vector<uint32_t>> action_map2 = Tile<T>::generate_action_map(tiles[tile2].symmetry);
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auto add = [&](uint32_t action, uint32_t direction) {
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uint32_t temp_orientation1 = action_map1[action][orientation1];
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uint32_t temp_orientation2 = action_map2[action][orientation2];
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uint32_t oriented_tile_id1 = oriented_tile_ids[tile1][temp_orientation1];
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uint32_t oriented_tile_id2 = oriented_tile_ids[tile2][temp_orientation2];
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dense_propagator[oriented_tile_id1][direction][oriented_tile_id2] = true;
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direction = get_opposite_direction(direction);
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dense_propagator[oriented_tile_id2][direction][oriented_tile_id1] = true;
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};
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add(0, 2);
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add(1, 0);
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add(2, 1);
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add(3, 3);
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add(4, 1);
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add(5, 3);
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add(6, 2);
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add(7, 0);
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}
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Vector<PropagatorStateEntry> propagator(nb_oriented_tiles);
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for (size_t i = 0; i < nb_oriented_tiles; ++i) {
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for (size_t j = 0; j < nb_oriented_tiles; ++j) {
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for (size_t d = 0; d < 4; ++d) {
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if (dense_propagator[i][d][j]) {
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propagator[i][d].push_back(j);
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}
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}
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}
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}
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return propagator;
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}
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// Get probability of presence of tiles.
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static Vector<double> get_tiles_weights(const Vector<Tile<T>> &tiles) {
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Vector<double> frequencies;
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for (int i = 0; i < tiles.size(); ++i) {
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for (int j = 0; j < tiles[i].data.size(); ++j) {
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frequencies.push_back(tiles[i].weight / tiles[i].data.size());
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}
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}
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return frequencies;
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}
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// Translate the generic WFC result into the image result
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Array2D<T> id_to_tiling(Array2D<uint32_t> ids) {
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uint32_t size = tiles[0].data[0].height;
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Array2D<T> tiling(size * ids.height, size * ids.width);
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for (uint32_t i = 0; i < ids.height; i++) {
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for (uint32_t j = 0; j < ids.width; j++) {
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std::pair<uint32_t, uint32_t> oriented_tile = id_to_oriented_tile[ids.get(i, j)];
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for (uint32_t y = 0; y < size; y++) {
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for (uint32_t x = 0; x < size; x++) {
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tiling.get(i * size + y, j * size + x) = tiles[oriented_tile.first].data[oriented_tile.second].get(y, x);
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}
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}
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}
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}
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return tiling;
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}
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void set_tile(uint32_t tile_id, uint32_t i, uint32_t j) {
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for (int p = 0; p < id_to_oriented_tile.size(); p++) {
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if (tile_id != p) {
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wfc.remove_wave_pattern(i, j, p);
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}
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}
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}
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public:
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struct NeighbourData {
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uint32_t data[4];
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NeighbourData() {
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for (int i = 0; i < 4; ++i) {
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direction[i] = 0;
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}
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}
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};
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// Construct the TilingWFC class to generate a tiled image.
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TilingWFC(
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const Vector<Tile<T>> &tiles,
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const Vector<NeighbourData> &neighbors,
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const uint32_t height, const uint32_t width,
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const TilingWFCOptions &options, int seed) :
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tiles(tiles),
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id_to_oriented_tile(generate_oriented_tile_ids(tiles).first),
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oriented_tile_ids(generate_oriented_tile_ids(tiles).second),
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options(options),
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wfc(options.periodic_output, seed, get_tiles_weights(tiles),
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generate_propagator(neighbors, tiles, id_to_oriented_tile,
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oriented_tile_ids),
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height, width),
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height(height),
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width(width) {}
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// Set the tile at a specific position.
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// Returns false if the given tile and orientation does not exist,
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// or if the coordinates are not in the wave
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bool set_tile(uint32_t tile_id, uint32_t orientation, uint32_t i, uint32_t j) {
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if (tile_id >= oriented_tile_ids.size() || orientation >= oriented_tile_ids[tile_id].size() || i >= height || j >= width) {
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return false;
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}
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uint32_t oriented_tile_id = oriented_tile_ids[tile_id][orientation];
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set_tile(oriented_tile_id, i, j);
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return true;
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}
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// Run the tiling wfc and return the result if the algorithm succeeded
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Array2D<T> run() {
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Array2D<uint32_t> a = wfc.run();
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if (a.width == 0 && a.height == 0) {
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return Array2D<T>(0, 0);
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}
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return id_to_tiling(a);
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}
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};
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#endif // FAST_WFC_TILING_WFC_HPP_
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