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| 1 | // SPDX-FileCopyrightText: 2022-2023 Dennis Gläser <dennis.glaeser@iws.uni-stuttgart.de> | ||
| 2 | // SPDX-License-Identifier: MIT | ||
| 3 | /*! | ||
| 4 | * \file | ||
| 5 | * \ingroup Grid | ||
| 6 | * \brief Predefined image grid implementation. | ||
| 7 | */ | ||
| 8 | #ifndef GRIDFORMAT_GRID_IMAGE_GRID_HPP_ | ||
| 9 | #define GRIDFORMAT_GRID_IMAGE_GRID_HPP_ | ||
| 10 | |||
| 11 | #include <cmath> | ||
| 12 | #include <array> | ||
| 13 | #include <ranges> | ||
| 14 | #include <cassert> | ||
| 15 | #include <utility> | ||
| 16 | #include <numeric> | ||
| 17 | #include <algorithm> | ||
| 18 | #include <functional> | ||
| 19 | #include <type_traits> | ||
| 20 | |||
| 21 | #include <gridformat/common/ranges.hpp> | ||
| 22 | #include <gridformat/common/concepts.hpp> | ||
| 23 | #include <gridformat/common/exceptions.hpp> | ||
| 24 | #include <gridformat/common/type_traits.hpp> | ||
| 25 | #include <gridformat/common/iterator_facades.hpp> | ||
| 26 | #include <gridformat/common/flat_index_mapper.hpp> | ||
| 27 | #include <gridformat/common/md_index.hpp> | ||
| 28 | |||
| 29 | #include <gridformat/grid/cell_type.hpp> | ||
| 30 | #include <gridformat/grid/traits.hpp> | ||
| 31 | |||
| 32 | namespace GridFormat { | ||
| 33 | |||
| 34 | /*! | ||
| 35 | * \ingroup Grid | ||
| 36 | * \brief Predefined grid implementation that represents a structured, equispaced grid. | ||
| 37 | * \tparam dim The dimension of the grid (1 <= dim <= 3) | ||
| 38 | * \tparam CoordinateType The type used to represent coordinates (e.g. `double`) | ||
| 39 | */ | ||
| 40 | template<std::size_t dim, Concepts::Scalar CoordinateType> | ||
| 41 | class ImageGrid { | ||
| 42 | static_assert(dim > 0 && dim <= 3); | ||
| 43 | |||
| 44 | template<int codim> | ||
| 45 | struct Entity { std::array<std::size_t, dim> location; }; | ||
| 46 | |||
| 47 | public: | ||
| 48 | using Cell = Entity<0>; //!< The type used for grid cells | ||
| 49 | using Point = Entity<dim>; //!< The type used for grid points | ||
| 50 | |||
| 51 | //! Constructor overload for general range types | ||
| 52 | template<Concepts::StaticallySizedMDRange<1> Size, | ||
| 53 | Concepts::StaticallySizedMDRange<1> Cells> | ||
| 54 | 4 | ImageGrid(Size&& size, Cells&& cells) | |
| 55 | : ImageGrid( | ||
| 56 |
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4 | Ranges::filled_array<dim>(CoordinateType{0}), |
| 57 | std::forward<Size>(size), | ||
| 58 | std::forward<Cells>(cells) | ||
| 59 |
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8 | ) |
| 60 | 4 | {} | |
| 61 | |||
| 62 | //! Constructor overload for general range types | ||
| 63 | template<Concepts::StaticallySizedMDRange<1> Origin, | ||
| 64 | Concepts::StaticallySizedMDRange<1> Size, | ||
| 65 | Concepts::StaticallySizedMDRange<1> Cells> | ||
| 66 | requires(static_size<Origin> == dim and | ||
| 67 | static_size<Size> == dim and | ||
| 68 | static_size<Cells> == dim and | ||
| 69 | std::integral<std::ranges::range_value_t<Cells>>) | ||
| 70 | 4 | ImageGrid(Origin&& origin, Size&& size, Cells&& cells) | |
| 71 | : ImageGrid( | ||
| 72 | Ranges::to_array<dim, CoordinateType>(origin), | ||
| 73 | Ranges::to_array<dim, CoordinateType>(size), | ||
| 74 | Ranges::to_array<dim, std::size_t>(cells) | ||
| 75 | 4 | ) | |
| 76 | 4 | {} | |
| 77 | |||
| 78 | /*! | ||
| 79 | * \brief Construct a grid with the given size and discretization. | ||
| 80 | * \param size The size of the grid | ||
| 81 | * \param cells The number of cells in all directions | ||
| 82 | */ | ||
| 83 | 3 | ImageGrid(std::array<CoordinateType, dim> size, | |
| 84 | std::array<std::size_t, dim> cells) | ||
| 85 |
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3 | : ImageGrid(Ranges::filled_array<dim>(CoordinateType{0}), std::move(size), std::move(cells)) |
| 86 | 3 | {} | |
| 87 | |||
| 88 | /*! | ||
| 89 | * \brief Construct a grid with the given size and discretization. | ||
| 90 | * \param origin The origin of the grid (e.g. the lower-left corner in 2d) | ||
| 91 | * \param size The size of the grid | ||
| 92 | * \param cells The number of cells in all directions | ||
| 93 | */ | ||
| 94 | 14 | ImageGrid(std::array<CoordinateType, dim> origin, | |
| 95 | std::array<CoordinateType, dim> size, | ||
| 96 | std::array<std::size_t, dim> cells) | ||
| 97 | 14 | : _lower_left{std::move(origin)} | |
| 98 |
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14 | , _upper_right{Ranges::apply_pairwise<CoordinateType>(std::plus{}, _lower_left, size)} |
| 99 | 14 | , _spacing{_compute_spacing(cells)} | |
| 100 |
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14 | , _cell_index_tuples{MDLayout{cells}} |
| 101 |
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14 | , _point_index_tuples{MDLayout{Ranges::incremented(cells, 1)}} |
| 102 |
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14 | , _cell_point_offsets{MDLayout{Ranges::filled_array<dim, std::size_t>(2)}} |
| 103 |
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56 | , _point_mapper{Ranges::incremented(cells, 1)} { |
| 104 |
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39 | if (std::ranges::any_of(cells, [] (const std::integral auto i) { return i == 0; })) |
| 105 | ✗ | throw ValueError("Number of cells in each direction must be > 0"); | |
| 106 | 14 | } | |
| 107 | |||
| 108 | 1 | std::size_t number_of_cells() const { return _cell_index_tuples.size(); } | |
| 109 | 1 | std::size_t number_of_points() const { return _point_index_tuples.size(); } | |
| 110 | 2 | std::size_t number_of_cells(unsigned int direction) const { return _cell_index_tuples.size(direction); } | |
| 111 | 64 | std::size_t number_of_points(unsigned int direction) const { return _point_index_tuples.size(direction); } | |
| 112 | 69 | const auto& origin() const { return _lower_left; } | |
| 113 | 115 | const auto& spacing() const { return _spacing; } | |
| 114 | |||
| 115 | //! Return an array containing the number of cells in all directions | ||
| 116 | 409 | auto extents() const { | |
| 117 |
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409 | return Ranges::to_array<dim, std::size_t>( |
| 118 |
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887 | std::views::iota(std::size_t{0}, dim) | std::views::transform([&] (std::size_t i) { |
| 119 | 775 | return _cell_index_tuples.size(i); | |
| 120 | }) | ||
| 121 | 818 | ); | |
| 122 | } | ||
| 123 | |||
| 124 | //! Return the ordinates of the grid along the given direction | ||
| 125 | 60 | auto ordinates(int direction) const { | |
| 126 |
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60 | std::vector<CoordinateType> result(number_of_points(direction)); |
| 127 |
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789 | for (unsigned int i = 0; i < result.size(); ++i) |
| 128 | 729 | result[i] = _ordinate_at(i, direction); | |
| 129 | 60 | return result; | |
| 130 | } | ||
| 131 | |||
| 132 | //! Return the physical position of the given grid point | ||
| 133 | 181006 | auto position(const Point& p) const { | |
| 134 |
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181006 | return Ranges::to_array<dim, CoordinateType>( |
| 135 |
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181006 | std::views::iota(std::size_t{0}, dim) |
| 136 |
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635858 | | std::views::transform([&] (std::size_t direction) { |
| 137 | 326340 | return _ordinate_at(p.location[direction], direction); | |
| 138 | }) | ||
| 139 | 362012 | ); | |
| 140 | } | ||
| 141 | |||
| 142 | //! Return the physical center position of the given grid cell | ||
| 143 | 22620 | auto center(const Cell& c) const { | |
| 144 | 22620 | unsigned corner_count = 0; | |
| 145 | 22620 | auto result = Ranges::filled_array<dim>(CoordinateType{0}); | |
| 146 |
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241980 | for (const auto& p : points(c)) { |
| 147 | 109680 | corner_count++; | |
| 148 |
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109680 | const auto ppos = position(p); |
| 149 |
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367440 | for (unsigned i = 0; i < dim; ++i) |
| 150 | 257760 | result[i] += ppos[i]; | |
| 151 | } | ||
| 152 |
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31020 | std::ranges::for_each(result, [&] (auto& v) { v /= static_cast<CoordinateType>(corner_count); }); |
| 153 | 27420 | return result; | |
| 154 | } | ||
| 155 | |||
| 156 | //! Return a unique id for the given point | ||
| 157 | 79736 | std::size_t id(const Point& p) const { | |
| 158 | 79736 | return _point_mapper.map(p.location); | |
| 159 | } | ||
| 160 | |||
| 161 | //! Return a range over all cells of the grid | ||
| 162 | 3172 | std::ranges::range auto cells() const { | |
| 163 |
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34664 | return _cell_index_tuples | std::views::transform([] (const auto& indices) { |
| 164 | 121830 | return Cell{Ranges::to_array<dim>(indices)}; | |
| 165 | 6344 | }); | |
| 166 | } | ||
| 167 | |||
| 168 | //! Return a range over all points of the grid | ||
| 169 | 3288 | std::ranges::range auto points() const { | |
| 170 |
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14936 | return _point_index_tuples | std::views::transform([] (const auto& indices) { |
| 171 | 61434 | return Point{Ranges::to_array<dim>(indices)}; | |
| 172 | 6576 | }); | |
| 173 | } | ||
| 174 | |||
| 175 | //! Return a range over all points in the given grid cell | ||
| 176 | 82080 | std::ranges::range auto points(const Cell& cell) const { | |
| 177 | 82080 | return _cell_point_offsets | |
| 178 |
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205920 | | std::views::transform([loc = cell.location] (const auto& offset) { |
| 179 | 158880 | auto point_loc = loc; | |
| 180 | 158880 | std::transform( | |
| 181 | point_loc.begin(), point_loc.end(), offset.begin(), point_loc.begin(), | ||
| 182 | 356160 | [] (std::size_t p, std::size_t o) { return p + o; } | |
| 183 | ); | ||
| 184 | 158880 | return Point{std::move(point_loc)}; | |
| 185 | 164160 | }); | |
| 186 | } | ||
| 187 | |||
| 188 | private: | ||
| 189 | 419909 | CoordinateType _ordinate_at(std::size_t i, int direction) const { | |
| 190 | 419909 | return _lower_left[direction] + _spacing[direction]*static_cast<CoordinateType>(i); | |
| 191 | } | ||
| 192 | |||
| 193 | template<Concepts::StaticallySizedMDRange<1> Cells> | ||
| 194 | 14 | auto _compute_spacing(Cells&& cells) const { | |
| 195 |
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14 | return Ranges::apply_pairwise( |
| 196 | std::divides{}, | ||
| 197 |
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28 | Ranges::apply_pairwise(std::minus{}, _upper_right, _lower_left), |
| 198 | cells | ||
| 199 | 28 | ); | |
| 200 | } | ||
| 201 | |||
| 202 | std::array<unsigned int, dim> _directions_in_descending_size() const { | ||
| 203 | std::array<unsigned int, dim> result; | ||
| 204 | for (int i = 0; i < dim; ++i) | ||
| 205 | result[i] = i; | ||
| 206 | std::ranges::sort(result, [&] (unsigned int dir1, unsigned int dir2) { | ||
| 207 | return _cell_index_tuples.size(dir1) < _cell_index_tuples.size(dir2); | ||
| 208 | }); | ||
| 209 | return result; | ||
| 210 | } | ||
| 211 | |||
| 212 | std::array<CoordinateType, dim> _lower_left; | ||
| 213 | std::array<CoordinateType, dim> _upper_right; | ||
| 214 | std::array<CoordinateType, dim> _spacing; | ||
| 215 | MDIndexRange _cell_index_tuples; | ||
| 216 | MDIndexRange _point_index_tuples; | ||
| 217 | MDIndexRange _cell_point_offsets; | ||
| 218 | FlatIndexMapper<dim> _point_mapper; | ||
| 219 | }; | ||
| 220 | |||
| 221 | template<Concepts::StaticallySizedMDRange<1> S, Concepts::StaticallySizedMDRange<1> C> | ||
| 222 | requires(static_size<S> == static_size<C>) | ||
| 223 | ImageGrid(S&&, C&&) -> ImageGrid<static_size<S>, std::ranges::range_value_t<S>>; | ||
| 224 | |||
| 225 | |||
| 226 | #ifndef DOXYGEN | ||
| 227 | namespace Traits { | ||
| 228 | |||
| 229 | template<std::size_t dim, typename CT> | ||
| 230 | struct Points<ImageGrid<dim, CT>> { | ||
| 231 | 3288 | static std::ranges::range auto get(const ImageGrid<dim, CT>& grid) { | |
| 232 | 3288 | return grid.points(); | |
| 233 | } | ||
| 234 | }; | ||
| 235 | |||
| 236 | template<std::size_t dim, typename CT> | ||
| 237 | struct Cells<ImageGrid<dim, CT>> { | ||
| 238 | 3172 | static std::ranges::range auto get(const ImageGrid<dim, CT>& grid) { | |
| 239 | 3172 | return grid.cells(); | |
| 240 | } | ||
| 241 | }; | ||
| 242 | |||
| 243 | template<std::size_t dim, typename CT> | ||
| 244 | struct Origin<ImageGrid<dim, CT>> { | ||
| 245 | 69 | static const auto& get(const ImageGrid<dim, CT>& grid) { | |
| 246 | 69 | return grid.origin(); | |
| 247 | } | ||
| 248 | }; | ||
| 249 | |||
| 250 | template<std::size_t dim, typename CT> | ||
| 251 | struct Spacing<ImageGrid<dim, CT>> { | ||
| 252 | 111 | static const auto& get(const ImageGrid<dim, CT>& grid) { | |
| 253 | 111 | return grid.spacing(); | |
| 254 | } | ||
| 255 | }; | ||
| 256 | |||
| 257 | template<std::size_t dim, typename CT> | ||
| 258 | struct Extents<ImageGrid<dim, CT>> { | ||
| 259 | 405 | static auto get(const ImageGrid<dim, CT>& grid) { | |
| 260 | 405 | return grid.extents(); | |
| 261 | } | ||
| 262 | }; | ||
| 263 | |||
| 264 | template<std::size_t dim, typename CT, typename Entity> | ||
| 265 | struct Location<ImageGrid<dim, CT>, Entity> { | ||
| 266 | static_assert( | ||
| 267 | std::is_same_v<Entity, typename ImageGrid<dim, CT>::Cell> || | ||
| 268 | std::is_same_v<Entity, typename ImageGrid<dim, CT>::Point> | ||
| 269 | ); | ||
| 270 | 62156 | static auto get(const ImageGrid<dim, CT>&, const Entity& e) { | |
| 271 | 62156 | return e.location; | |
| 272 | } | ||
| 273 | }; | ||
| 274 | |||
| 275 | template<std::size_t dim, typename CT> | ||
| 276 | struct Ordinates<ImageGrid<dim, CT>> { | ||
| 277 | 60 | static auto get(const ImageGrid<dim, CT>& grid, unsigned int dir) { | |
| 278 | 60 | return grid.ordinates(dir); | |
| 279 | } | ||
| 280 | }; | ||
| 281 | |||
| 282 | // required for structured grid concept | ||
| 283 | template<std::size_t dim, typename CT> | ||
| 284 | struct PointCoordinates<ImageGrid<dim, CT>, typename ImageGrid<dim, CT>::Point> { | ||
| 285 | 43230 | static decltype(auto) get(const ImageGrid<dim, CT>& grid, const typename ImageGrid<dim, CT>::Point& p) { | |
| 286 | 43230 | return grid.position(p); | |
| 287 | } | ||
| 288 | }; | ||
| 289 | |||
| 290 | // register as unstructured grid as well | ||
| 291 | template<std::size_t dim, typename CT> | ||
| 292 | struct CellPoints<ImageGrid<dim, CT>, typename ImageGrid<dim, CT>::Cell> { | ||
| 293 | 59460 | static auto get(const ImageGrid<dim, CT>& grid, const typename ImageGrid<dim, CT>::Cell& c) { | |
| 294 | 59460 | return grid.points(c); | |
| 295 | } | ||
| 296 | }; | ||
| 297 | |||
| 298 | template<std::size_t dim, typename CT> | ||
| 299 | struct PointId<ImageGrid<dim, CT>, typename ImageGrid<dim, CT>::Point> { | ||
| 300 | 79736 | static auto get(const ImageGrid<dim, CT>& grid, const typename ImageGrid<dim, CT>::Point& p) { | |
| 301 | 79736 | return grid.id(p); | |
| 302 | } | ||
| 303 | }; | ||
| 304 | |||
| 305 | template<std::size_t dim, typename CT> | ||
| 306 | struct CellType<ImageGrid<dim, CT>, typename ImageGrid<dim, CT>::Cell> { | ||
| 307 | 93720 | static auto get(const ImageGrid<dim, CT>&, const typename ImageGrid<dim, CT>::Cell&) { | |
| 308 | if constexpr (dim == 1) | ||
| 309 | return GridFormat::CellType::segment; | ||
| 310 | if constexpr (dim == 2) | ||
| 311 | 69720 | return GridFormat::CellType::pixel; | |
| 312 | if constexpr (dim == 3) | ||
| 313 | 24000 | return GridFormat::CellType::voxel; | |
| 314 | } | ||
| 315 | }; | ||
| 316 | |||
| 317 | } // namespace Traits | ||
| 318 | #endif // DOXYGEN | ||
| 319 | |||
| 320 | } // namespace GridFormat | ||
| 321 | |||
| 322 | #endif // GRIDFORMAT_GRID_IMAGE_GRID_HPP_ | ||
| 323 |