#ifndef PUZZLE_HPP_ #define PUZZLE_HPP_ #include "config.hpp" #include "util.hpp" #include "bits.hpp" #include "cpu_spring_system.hpp" #include #include #include #include #include #include #include #include // #define RUNTIME_CHECKS // Forward declare to use in puzzle member functions struct block_hasher; struct block_hasher2; struct block_equal2; struct puzzle_hasher; /* * 8x8 board * -> 64 (sizes) * 2 (target) * 2 (movable) blocks = 1 Byte * * 1. Encode the position inside the board (max 64 cells) * -> 64 (slots) * 1 Byte (block) = 64 Byte * 2. Encode the position inside the block (max 64 cells) * -> 64 (blocks) * 2 Byte (size + pos) = 128 Byte * 3. Encode the position inside the block (with 15 block limit) * -> 15 (blocks) * 2 (block) = 30 Byte * * Store board size + restricted: +1 Byte * Store target position: +1 Byte * * => Limit to 15 blocks max and use option 3. (4x u64) * */ class puzzle { public: /* * A block is represented as u16. * It stores its position, width, height and if it's the target block or immovable. */ class block { friend class puzzle; private: static constexpr u16 INVALID = 0x8000; static constexpr u8 IMMOVABLE_S = 0; static constexpr u8 IMMOVABLE_E = 0; static constexpr u8 TARGET_S = 1; static constexpr u8 TARGET_E = 1; static constexpr u8 WIDTH_S = 2; static constexpr u8 WIDTH_E = 4; static constexpr u8 HEIGHT_S = 5; static constexpr u8 HEIGHT_E = 7; static constexpr u8 X_S = 8; static constexpr u8 X_E = 10; static constexpr u8 Y_S = 11; static constexpr u8 Y_E = 13; /* * Memory layout: * * 154 321 098 765 432 1 0 * B0 YYY XXX HHH WWW T I * ---------- ----------- * Byte 1 Byte 0 * * Store the y-position at the most significant bits to obtain a row-major ordering when comparing reprs. * The block at (0, 0) will be the smallest, the block at (width, height) the largest, * the block at (1, 0) will be smaller than the block at (0, 1), all independent of block size. * Then, the block with size (1, 1) will be smaller than the block with size (2, 2), * the block with size (1, 0) - horizontal - will be smaller than the block with size (0, 1) - vertical. * * To mark if a block is empty, the first B bit is set to 1. This is required, * since otherwise u16{0} would be a valid block. This also makes empty blocks sorted last. */ u16 repr; public: // Produces an invalid block, for usage with std::array block() : repr(INVALID) {} explicit block(const u16 _repr) : repr(_repr) {} block(const int x, const int y, const int w, const int h, const bool t = false, const bool i = false) : repr(create_repr(x, y, w, h, t, i)) { if (x < 0 || x + w > MAX_WIDTH || y < 0 || y + h > MAX_HEIGHT) { throw std::invalid_argument("Block size out of bounds"); } if (t && i) { throw std::invalid_argument("Target block can't be immovable"); } } auto operator==(const block other) const -> bool { return repr == other.repr; } auto operator!=(const block other) const -> bool { return repr != other.repr; } auto operator<(const block other) const -> bool { return repr < other.repr; } auto operator<=(const block other) const -> bool { return repr <= other.repr; } auto operator>(const block other) const -> bool { return repr > other.repr; } auto operator>=(const block other) const -> bool { return repr >= other.repr; } private: // Repr setters [[nodiscard]] static auto create_repr(u8 x, u8 y, u8 w, u8 h, bool t = false, bool i = false) -> u16; [[nodiscard]] inline auto set_x(u8 x) const -> block; [[nodiscard]] inline auto set_y(u8 y) const -> block; [[nodiscard]] inline auto set_width(u8 width) const -> block; [[nodiscard]] inline auto set_height(u8 height) const -> block; [[nodiscard]] inline auto set_target(bool target) const -> block; [[nodiscard]] inline auto set_immovable(bool immovable) const -> block; public: // Repr getters [[nodiscard]] auto unpack_repr() const -> std::tuple; [[nodiscard]] inline auto get_x() const -> u8; [[nodiscard]] inline auto get_y() const -> u8; [[nodiscard]] inline auto get_width() const -> u8; [[nodiscard]] inline auto get_height() const -> u8; [[nodiscard]] inline auto get_target() const -> bool; [[nodiscard]] inline auto get_immovable() const -> bool; // Util [[nodiscard]] auto hash() const -> size_t; [[nodiscard]] auto position_independent_hash() const -> size_t; [[nodiscard]] auto valid() const -> bool; [[nodiscard]] auto principal_dirs() const -> u8; [[nodiscard]] auto covers(int _x, int _y) const -> bool; [[nodiscard]] auto collides(block b) const -> bool; }; public: using blockset = boost::unordered_flat_set; template using blockmap = boost::unordered_flat_map; using blockset2 = boost::unordered_flat_set; template using blockmap2 = boost::unordered_flat_map; using puzzleset = boost::unordered_flat_set; template using puzzlemap = boost::unordered_flat_map; static constexpr u8 MAX_BLOCKS = 15; static constexpr u8 MIN_WIDTH = 3; static constexpr u8 MIN_HEIGHT = 3; static constexpr u8 MAX_WIDTH = 8; static constexpr u8 MAX_HEIGHT = 8; private: static constexpr u16 INVALID = 0x8000; static constexpr u8 RESTRICTED_S = 0; static constexpr u8 RESTRICTED_E = 0; static constexpr u8 GOAL_X_S = 1; static constexpr u8 GOAL_X_E = 3; static constexpr u8 GOAL_Y_S = 4; static constexpr u8 GOAL_Y_E = 6; static constexpr u8 WIDTH_S = 7; static constexpr u8 WIDTH_E = 9; static constexpr u8 HEIGHT_S = 10; static constexpr u8 HEIGHT_E = 12; static constexpr u8 GOAL_S = 13; static constexpr u8 GOAL_E = 13; struct repr_cooked { /* * Memory layout: * * 1543 210 98 7 654 321 0 * B0G HHH WW W YYY XXX R * ---------- ----------- * Byte 1 Byte 0 * * To mark if a puzzle is empty, the first B bit is set to 1. * An extra bit is used to mark if the board has a goal, because we can't store MAX_WIDTH=8 in 3 bits. */ u16 meta; // NOTE: For the hashes to work, this array needs to be sorted always. // NOTE: This array might contain empty blocks at the end. The iterator handles this. std::array blocks; // repr_cooked() = delete; // repr_cooked(const repr_cooked& copy) = delete; // repr_cooked(repr_cooked&& move) = delete; } PACKED; /** * With gcc, were allowed to acces the members arbitrarily, even if they're not active (not the ones last written): * - https://gcc.gnu.org/onlinedocs/gcc-4.7.1/gcc/Structures-unions-enumerations-and-bit_002dfields-implementation.html#Structures-unions-enumerations-and-bit_002dfields-implementation * - https://gcc.gnu.org/onlinedocs/gcc-4.7.1/gcc/Optimize-Options.html#Type_002dpunning */ union repr_u { // The representation split into meta information and the blocks array repr_cooked cooked; // For 15 blocks, we have sizeof(meta) + blocks.size() * sizeof(block) = 2 + 15 * 2 = 32 Bytes std::array raw; }; repr_u repr; public: // Produces an invalid puzzle, for usage with containers puzzle() : repr(repr_cooked{INVALID, invalid_blocks()}) {} explicit puzzle(const u16 meta) : repr(repr_cooked{meta, invalid_blocks()}) {} // NOTE: This constructor does not sort the blocks and is only for state space generation puzzle(const std::tuple& meta, const std::array& sorted_blocks) : repr(repr_cooked{create_meta(meta), sorted_blocks}) {} puzzle(const u64 byte_0, const u64 byte_1, const u64 byte_2, const u64 byte_3) : repr(create_repr(byte_0, byte_1, byte_2, byte_3)) {} // NOTE: This constructor does not sort the blocks puzzle(const u16 meta, const std::array& blocks) : repr(repr_cooked{meta, blocks}) {} puzzle(const u8 w, const u8 h, const u8 tx, const u8 ty, const bool r, const bool g) : repr(create_repr(w, h, tx, ty, r, g, invalid_blocks())) { if (w < MIN_WIDTH || w > MAX_WIDTH || h < MIN_HEIGHT || h > MAX_HEIGHT) { throw std::invalid_argument("Board size out of bounds"); } if (tx >= MAX_WIDTH || ty >= MAX_HEIGHT) { throw std::invalid_argument("Goal out of bounds"); } } puzzle(const u8 w, const u8 h, const u8 tx, const u8 ty, const bool r, const bool g, const std::array& b) : repr(create_repr(w, h, tx, ty, r, g, b)) { if (w < MIN_WIDTH || w > MAX_WIDTH || h < MIN_HEIGHT || h > MAX_HEIGHT) { throw std::invalid_argument("Board size out of bounds"); } if (tx >= MAX_WIDTH || ty >= MAX_HEIGHT) { throw std::invalid_argument("Goal out of bounds"); } } puzzle(const u8 w, const u8 h) : repr(create_repr(w, h, 0, 0, false, false, invalid_blocks())) { if (w < MIN_WIDTH || w > MAX_WIDTH || h < MIN_HEIGHT || h > MAX_HEIGHT) { throw std::invalid_argument("Board size out of bounds"); } } explicit puzzle(const std::string& string_repr) : repr(create_repr(string_repr)) {} public: auto operator==(const puzzle& other) const -> bool { return repr.raw == other.repr.raw; } auto operator!=(const puzzle& other) const -> bool { return repr.raw != other.repr.raw; } auto operator<(const puzzle& other) const -> bool { // Start from MSB and go to LSB. If equal, check the next. for (int i = 3; i >= 0; --i) { if (repr.raw[i] < other.repr.raw[i]) { return true; } if (repr.raw[i] > other.repr.raw[i]) { return false; } } // All are equal return false; } auto operator<=(const puzzle& other) const -> bool { return *this < other || *this == other; } auto operator>(const puzzle& other) const -> bool { return !(*this <= other); } auto operator>=(const puzzle& other) const -> bool { return !(*this < other); } auto repr_view() const { return std::span(repr.cooked.blocks.data(), block_count()); } auto block_view() const { return std::span(repr.cooked.blocks.data(), block_count()) | std::views::transform([](const u16 val) { return block(val); }); } template static auto hash_combine(std::size_t& seed, const T& v, const Rest&... rest) -> void; private: [[nodiscard]] static constexpr auto invalid_blocks() -> std::array { std::array blocks; for (size_t i = 0; i < MAX_BLOCKS; ++i) { blocks[i] = block::INVALID; } return blocks; } // Repr setters [[nodiscard]] static auto create_meta(const std::tuple& meta) -> u16; [[nodiscard]] static auto create_repr(u8 w, u8 h, u8 tx, u8 ty, bool r, bool g, const std::array& b) -> repr_cooked; [[nodiscard]] static auto create_repr(u64 byte_0, u64 byte_1, u64 byte_2, u64 byte_3) -> repr_cooked; [[nodiscard]] static auto create_repr(const std::string& string_repr) -> repr_cooked; [[nodiscard]] inline auto set_restricted(bool restricted) const -> puzzle; [[nodiscard]] inline auto set_width(u8 width) const -> puzzle; [[nodiscard]] inline auto set_height(u8 height) const -> puzzle; [[nodiscard]] inline auto set_goal(bool goal) const -> puzzle; [[nodiscard]] inline auto set_goal_x(u8 target_x) const -> puzzle; [[nodiscard]] inline auto set_goal_y(u8 target_y) const -> puzzle; [[nodiscard]] auto set_blocks(std::array blocks) const -> puzzle; public: // Repr getters [[nodiscard]] auto unpack_meta() const -> std::tuple; [[nodiscard]] inline auto get_restricted() const -> bool; [[nodiscard]] inline auto get_width() const -> u8; [[nodiscard]] inline auto get_height() const -> u8; [[nodiscard]] inline auto get_goal() const -> bool; [[nodiscard]] inline auto get_goal_x() const -> u8; [[nodiscard]] inline auto get_goal_y() const -> u8; // Util [[nodiscard]] auto hash() const -> size_t; [[nodiscard]] auto string_repr() const -> std::string; [[nodiscard]] static auto try_parse_string_repr(const std::string& string_repr) -> std::optional; [[nodiscard]] auto valid() const -> bool; [[nodiscard]] auto try_get_invalid_reason() const -> std::optional; [[nodiscard]] auto block_count() const -> u8; [[nodiscard]] auto goal_reached() const -> bool; [[nodiscard]] auto try_get_block(u8 x, u8 y) const -> std::optional; [[nodiscard]] auto try_get_target_block() const -> std::optional; [[nodiscard]] auto covers(u8 x, u8 y, u8 _w, u8 _h) const -> bool; [[nodiscard]] auto covers(u8 x, u8 y) const -> bool; [[nodiscard]] auto covers(block b) const -> bool; // Editing [[nodiscard]] auto toggle_restricted() const -> puzzle; [[nodiscard]] auto try_set_goal(u8 x, u8 y) const -> std::optional; [[nodiscard]] auto clear_goal() const -> puzzle; [[nodiscard]] auto try_add_column() const -> std::optional; [[nodiscard]] auto try_remove_column() const -> std::optional; [[nodiscard]] auto try_add_row() const -> std::optional; [[nodiscard]] auto try_remove_row() const -> std::optional; [[nodiscard]] auto try_add_block(block b) const -> std::optional; [[nodiscard]] auto try_remove_block(u8 x, u8 y) const -> std::optional; [[nodiscard]] auto try_toggle_target(u8 x, u8 y) const -> std::optional; [[nodiscard]] auto try_toggle_wall(u8 x, u8 y) const -> std::optional; // Bitmap [[nodiscard]] auto blocks_bitmap() const -> u64; [[nodiscard]] auto blocks_bitmap_h() const -> u64; [[nodiscard]] auto blocks_bitmap_v() const -> u64; static INLINE inline auto bitmap_clear_bit(u64& bitmap, u8 w, u8 x, u8 y) -> void; static INLINE inline auto bitmap_set_bit(u64& bitmap, u8 w, u8 x, u8 y) -> void; [[nodiscard]] static INLINE inline auto bitmap_get_bit(u64 bitmap, u8 w, u8 x, u8 y) -> bool; INLINE inline auto bitmap_clear_block(u64& bitmap, block b) const -> void; INLINE inline auto bitmap_set_block(u64& bitmap, block b) const -> void; [[nodiscard]] INLINE inline auto bitmap_is_empty(u64 bitmap) const -> bool; [[nodiscard]] INLINE inline auto bitmap_is_full(u64 bitmap) const -> bool; [[nodiscard]] INLINE inline auto bitmap_check_collision(u64 bitmap, block b) const -> bool; [[nodiscard]] INLINE inline auto bitmap_check_collision(u64 bitmap, block b, dir dir) const -> bool; [[nodiscard]] INLINE inline auto bitmap_find_first_empty(u64 bitmap, int& x, int& y) const -> bool; // Playing [[nodiscard]] auto try_move_block_at(u8 x, u8 y, dir dir) const -> std::optional; // Statespace [[nodiscard]] INLINE inline auto try_move_block_at_fast(u64 bitmap, u8 block_idx, dir dir, bool check_collision = true) const -> std::optional; [[nodiscard]] INLINE static inline auto sorted_replace(std::array blocks, u8 idx, u16 new_val) -> std::array; template // ReSharper disable once CppRedundantInlineSpecifier INLINE inline auto for_each_adjacent(F&& callback) const -> void; [[nodiscard]] auto explore_state_space() const -> std::pair, std::vector>; // Puzzle space // Determines to which cluster a puzzle belongs. Clusters are identified by the // state with the numerically smallest binary representation. [[nodiscard]] auto get_cluster_id_and_solution() const -> std::tuple, bool, int>; static auto generate_block_sets(const puzzle& p, const blockset2& permitted_blocks, block target_block, u8 max_blocks) -> std::vector>; static auto generate_initial_puzzles(const puzzle& p, block target_block, const std::tuple& target_block_pos_range) -> std::vector< puzzle>; template static auto place_block_set(const puzzle& p, const blockmap2& set, u64 bitmap, u8 block_index, F&& callback) -> void; [[nodiscard]] auto explore_puzzle_space(const blockset2& permitted_blocks, block target_block, const std::tuple& target_block_pos_range, size_t max_blocks, int min_moves, threadpool thread_pool = std::nullopt) const -> puzzleset; }; // Type aliases using block = puzzle::block; using blockset = puzzle::blockset; template using blockmap = puzzle::blockmap; using blockset2 = puzzle::blockset2; template using blockmap2 = puzzle::blockmap2; using puzzleset = puzzle::puzzleset; template using puzzlemap = puzzle::puzzlemap; // Hash functions for sets and maps. // Declared after puzzle class to use puzzle::hash_combine #ifndef REGION_HASHERS struct block_hasher { auto operator()(const block& b) const noexcept -> size_t { return b.hash(); } }; struct block_hasher2 { auto operator()(const block& b) const noexcept -> size_t { return b.position_independent_hash(); } }; struct block_equal2 { auto operator()(const block& a, const block& b) const noexcept -> bool { const auto [ax, ay, aw, ah, at, ai] = a.unpack_repr(); const auto [bx, by, bw, bh, bt, bi] = b.unpack_repr(); return aw == bw && ah == bh && at == bt && ai == bi; } }; struct puzzle_hasher { auto operator()(const puzzle& s) const noexcept -> size_t { return s.hash(); } }; struct link_hasher { auto operator()(const std::pair& s) const noexcept -> size_t { size_t h = 0; if (s.first < s.second) { puzzle::hash_combine(h, s.first, s.second); } else { puzzle::hash_combine(h, s.second, s.first); } return h; } }; struct link_equal { auto operator()(const std::pair& a, const std::pair& b) const noexcept -> bool { return (a.first == b.first && a.second == b.second) || (a.first == b.second && a.second == b.first); } }; template // ReSharper disable once CppRedundantInlineSpecifier INLINE inline auto puzzle::hash_combine(size_t& seed, const T& v, const Rest&... rest) -> void { auto hasher = [](const HashedType& val) -> std::size_t { if constexpr (std::is_same_v, puzzle>) { return puzzle_hasher{}(val); } else if constexpr (std::is_same_v, std::pair>) { return link_hasher{}(val); } else { return std::hash>{}(val); } }; seed ^= hasher(v) + 0x9e3779b9 + (seed << 6) + (seed >> 2); (hash_combine(seed, rest), ...); } #endif // Inline functions definitions #ifndef REGION_INLINE_DEFS inline auto block::set_x(const u8 x) const -> block { #ifdef RUNTIME_CHECKS if (x > 7) { throw std::invalid_argument("Block x-position out of bounds"); } #endif block b = *this; set_bits(b.repr, X_S, X_E, x); return b; } inline auto block::set_y(const u8 y) const -> block { #ifdef RUNTIME_CHECKS if (y > 7) { throw std::invalid_argument("Block y-position out of bounds"); } #endif block b = *this; set_bits(b.repr, Y_S, Y_E, y); return b; } inline auto block::set_width(const u8 width) const -> block { #ifdef RUNTIME_CHECKS if (width - 1 > 7) { throw std::invalid_argument("Block width out of bounds"); } #endif block b = *this; set_bits(b.repr, WIDTH_S, WIDTH_E, width - 1u); return b; } inline auto block::set_height(const u8 height) const -> block { #ifdef RUNTIME_CHECKS if (height - 1 > 7) { throw std::invalid_argument("Block height out of bounds"); } #endif block b = *this; set_bits(b.repr, HEIGHT_S, HEIGHT_E, height - 1u); return b; } inline auto block::set_target(const bool target) const -> block { block b = *this; set_bits(b.repr, TARGET_S, TARGET_E, target); return b; } inline auto block::set_immovable(const bool immovable) const -> block { block b = *this; set_bits(b.repr, IMMOVABLE_S, IMMOVABLE_E, immovable); return b; } inline auto block::get_x() const -> u8 { return get_bits(repr, X_S, X_E); } inline auto block::get_y() const -> u8 { return get_bits(repr, Y_S, Y_E); } inline auto block::get_width() const -> u8 { return get_bits(repr, WIDTH_S, WIDTH_E) + 1u; } inline auto block::get_height() const -> u8 { return get_bits(repr, HEIGHT_S, HEIGHT_E) + 1u; } inline auto block::get_target() const -> bool { return get_bits(repr, TARGET_S, TARGET_E); } inline auto block::get_immovable() const -> bool { return get_bits(repr, IMMOVABLE_S, IMMOVABLE_E); } inline auto puzzle::set_restricted(const bool restricted) const -> puzzle { u16 meta = repr.cooked.meta; set_bits(meta, RESTRICTED_S, RESTRICTED_E, restricted); return puzzle(meta, repr.cooked.blocks); } inline auto puzzle::set_width(const u8 width) const -> puzzle { #ifdef RUNTIME_CHECKS if (width - 1 > MAX_WIDTH) { throw "Board width out of bounds"; } #endif u16 meta = repr.cooked.meta; set_bits(meta, WIDTH_S, WIDTH_E, width - 1u); return puzzle(meta, repr.cooked.blocks); } inline auto puzzle::set_height(const u8 height) const -> puzzle { #ifdef RUNTIME_CHECKS if (height - 1 > MAX_HEIGHT) { throw "Board height out of bounds"; } #endif u16 meta = repr.cooked.meta; set_bits(meta, HEIGHT_S, HEIGHT_E, height - 1u); return puzzle(meta, repr.cooked.blocks); } inline auto puzzle::set_goal(const bool goal) const -> puzzle { u16 meta = repr.cooked.meta; set_bits(meta, GOAL_S, GOAL_E, goal); return puzzle(meta, repr.cooked.blocks); } inline auto puzzle::set_goal_x(const u8 target_x) const -> puzzle { #ifdef RUNTIME_CHECKS if (target_x >= MAX_WIDTH) { throw "Board target x out of bounds"; } #endif u16 meta = repr.cooked.meta; set_bits(meta, GOAL_X_S, GOAL_X_E, target_x); return puzzle(meta, repr.cooked.blocks); } inline auto puzzle::set_goal_y(const u8 target_y) const -> puzzle { #ifdef RUNTIME_CHECKS if (target_y >= MAX_HEIGHT) { throw "Board target y out of bounds"; } #endif u16 meta = repr.cooked.meta; set_bits(meta, GOAL_Y_S, GOAL_Y_E, target_y); return puzzle(meta, repr.cooked.blocks); } inline auto puzzle::get_restricted() const -> bool { return get_bits(repr.cooked.meta, RESTRICTED_S, RESTRICTED_E); } inline auto puzzle::get_width() const -> u8 { return get_bits(repr.cooked.meta, WIDTH_S, WIDTH_E) + 1u; } inline auto puzzle::get_height() const -> u8 { return get_bits(repr.cooked.meta, HEIGHT_S, HEIGHT_E) + 1u; } inline auto puzzle::get_goal() const -> bool { return get_bits(repr.cooked.meta, GOAL_S, GOAL_E); } inline auto puzzle::get_goal_x() const -> u8 { return get_bits(repr.cooked.meta, GOAL_X_S, GOAL_X_E); } inline auto puzzle::get_goal_y() const -> u8 { return get_bits(repr.cooked.meta, GOAL_Y_S, GOAL_Y_E); } INLINE inline auto puzzle::bitmap_clear_bit(u64& bitmap, const u8 w, const u8 x, const u8 y) -> void { set_bits(bitmap, y * w + x, y * w + x, 0u); } INLINE inline auto puzzle::bitmap_set_bit(u64& bitmap, const u8 w, const u8 x, const u8 y) -> void { set_bits(bitmap, y * w + x, y * w + x, 1u); } INLINE inline auto puzzle::bitmap_get_bit(const u64 bitmap, const u8 w, const u8 x, const u8 y) -> bool { return get_bits(bitmap, y * w + x, y * w + x); } INLINE inline auto puzzle::bitmap_clear_block(u64& bitmap, const block b) const -> void { const auto [x, y, w, h, t, i] = b.unpack_repr(); const u8 width = get_width(); for (int dy = 0; dy < h; ++dy) { for (int dx = 0; dx < w; ++dx) { bitmap_clear_bit(bitmap, width, x + dx, y + dy); } } } INLINE inline auto puzzle::bitmap_set_block(u64& bitmap, const block b) const -> void { const auto [x, y, w, h, t, i] = b.unpack_repr(); const u8 width = get_width(); for (int dy = 0; dy < h; ++dy) { for (int dx = 0; dx < w; ++dx) { bitmap_set_bit(bitmap, width, x + dx, y + dy); } } } INLINE inline auto puzzle::bitmap_is_empty(const u64 bitmap) const -> bool { const u8 shift = 64 - get_width() * get_height(); return bitmap << shift == 0; } INLINE inline auto puzzle::bitmap_is_full(const u64 bitmap) const -> bool { const u8 shift = 64 - get_width() * get_height(); return ((bitmap << shift) >> shift) == ((static_cast(-1) << shift) >> shift); } INLINE inline auto puzzle::bitmap_check_collision(const u64 bitmap, const block b) const -> bool { const auto [x, y, w, h, t, i] = b.unpack_repr(); const u8 width = get_width(); for (int dy = 0; dy < h; ++dy) { for (int dx = 0; dx < w; ++dx) { if (bitmap_get_bit(bitmap, width, x + dx, y + dy)) { return true; // collision } } } return false; } INLINE inline auto puzzle::bitmap_check_collision(const u64 bitmap, const block b, const dir dir) const -> bool { const auto [x, y, w, h, t, i] = b.unpack_repr(); const u8 width = get_width(); switch (dir) { case nor: // Check the row above: (x...x+w-1, y-1) for (int dx = 0; dx < w; ++dx) { if (bitmap_get_bit(bitmap, width, x + dx, y - 1)) { return true; } } break; case sou: // Check the row below: (x...x+w-1, y+h) for (int dx = 0; dx < w; ++dx) { if (bitmap_get_bit(bitmap, width, x + dx, y + h)) { return true; } } break; case wes: // Check the column left: (x-1, y...y+h-1) for (int dy = 0; dy < h; ++dy) { if (bitmap_get_bit(bitmap, width, x - 1, y + dy)) { return true; } } break; case eas: // Check the column right: (x+w, y...y+h-1) for (int dy = 0; dy < h; ++dy) { if (bitmap_get_bit(bitmap, width, x + w, y + dy)) { return true; } } break; } return false; } INLINE inline auto puzzle::bitmap_find_first_empty(const u64 bitmap, int& x, int& y) const -> bool { x = 0; y = 0; // Bitmap is empty of first slot is empty if (bitmap_is_empty(bitmap) || !(bitmap & 1u)) { return true; } // Bitmap is full if (bitmap_is_full(bitmap)) { return false; } // Find the next more significant empty bit (we know the first slot is full) int ls_set = 0; bool next_set = true; while (next_set && ls_set < get_width() * get_height() - 1) { next_set = bitmap & (1ul << (ls_set + 1)); ++ls_set; } x = ls_set % get_width(); y = ls_set / get_width(); return true; } INLINE inline auto puzzle::try_move_block_at_fast(u64 bitmap, const u8 block_idx, const dir dir, const bool check_collision) const -> std::optional { const block b = block(repr.cooked.blocks[block_idx]); const auto [bx, by, bw, bh, bt, bi] = b.unpack_repr(); if (bi) { return std::nullopt; } const auto [w, h, gx, gy, r, g] = unpack_meta(); const int dirs = r ? b.principal_dirs() : nor | eas | sou | wes; // Get target block int _target_x = bx; int _target_y = by; switch (dir) { case nor: if (!(dirs & nor) || _target_y < 1) { return std::nullopt; } --_target_y; break; case eas: if (!(dirs & eas) || _target_x + bw >= w) { return std::nullopt; } ++_target_x; break; case sou: if (!(dirs & sou) || _target_y + bh >= h) { return std::nullopt; } ++_target_y; break; case wes: if (!(dirs & wes) || _target_x < 1) { return std::nullopt; } --_target_x; break; } // Check collisions if (check_collision) { bitmap_clear_block(bitmap, b); if (bitmap_check_collision(bitmap, b, dir)) { return std::nullopt; } } // Replace block const std::array blocks = sorted_replace(repr.cooked.blocks, block_idx, block::create_repr(_target_x, _target_y, bw, bh, bt)); // This constructor doesn't sort return puzzle(std::make_tuple(w, h, gx, gy, r, g), blocks); } INLINE inline auto puzzle::sorted_replace(std::array blocks, const u8 idx, const u16 new_val) -> std::array { // Remove old entry for (u8 i = idx; i < MAX_BLOCKS - 1; ++i) { blocks[i] = blocks[i + 1]; } blocks[MAX_BLOCKS - 1] = block::INVALID; // Find insertion point for new_val u8 insert_at = 0; while (insert_at < MAX_BLOCKS && blocks[insert_at] < new_val) { ++insert_at; } // Shift right and insert for (u8 i = MAX_BLOCKS - 1; i > insert_at; --i) { blocks[i] = blocks[i - 1]; } blocks[insert_at] = new_val; return blocks; } template // ReSharper disable once CppRedundantInlineSpecifier INLINE inline auto puzzle::for_each_adjacent(F&& callback) const -> void { const u64 bitmap = blocks_bitmap(); const bool r = get_restricted(); for (u8 idx = 0; idx < MAX_BLOCKS; idx++) { const block b = block(repr.cooked.blocks[idx]); if (!b.valid()) { break; } if (b.get_immovable()) { continue; } const int dirs = r ? b.principal_dirs() : nor | eas | sou | wes; for (const dir d : {nor, eas, sou, wes}) { if (dirs & d) { if (auto moved = try_move_block_at_fast(bitmap, idx, d)) { callback(*moved); } } } } } // TODO: Work on a mutable set + bitmap. Do change, call subtree, then undo change after to reduce copying template auto puzzle::place_block_set(const puzzle& p, const blockmap2& set, const u64 bitmap, const u8 block_index, F&& callback) -> void { // All blocks placed. We don't need to check for max_blocks because block set generation does bool blocks_remain = false; for (const u8 count : set | std::views::values) { if (count > 0) { blocks_remain = true; break; } } if (!blocks_remain) { callback(p); return; } int x, y; if (!p.bitmap_find_first_empty(bitmap, x, y)) { // No space remaining callback(p); return; } for (const auto& [_b, count] : set) { // Already picked all of those blocks if (count == 0) { continue; } // Take block from the inventory blockmap2 next_set = set; --next_set[_b]; block b = _b; b = b.set_x(static_cast(x)); b = b.set_y(static_cast(y)); // Place the next block and call the resulting subtree, then remove the block and continue here if (!p.bitmap_check_collision(bitmap, b) && p.covers(b)) { // We don't need to sort during puzzle generation, only after std::array blocks = p.repr.cooked.blocks; blocks[block_index] = b.repr; const puzzle next_p = puzzle(p.repr.cooked.meta, blocks); u64 next_bm = bitmap; next_p.bitmap_set_block(next_bm, b); // print_bitmap(next_bm, p.get_width(), p.get_height(), "Next Block"); place_block_set(next_p, next_set, next_bm, block_index + 1, callback); } } // Create an empty cell and call the resulting subtree (without advancing the block index) u64 next_bm = bitmap; bitmap_set_bit(next_bm, p.get_width(), x, y); // print_bitmap(next_bm, p.get_width(), p.get_height(), "Empty Cell"); place_block_set(p, set, next_bm, block_index, callback); } #endif #endif