#ifndef PUZZLE_HPP_ #define PUZZLE_HPP_ #include "util.hpp" #include #include #include #include #include #include enum direction { nor = 1 << 0, eas = 1 << 1, sou = 1 << 2, wes = 1 << 3, }; // A state is represented by a string "MWHXYblocks", where M is "R" // (restricted) or "F" (free), W is the board width, H is the board height, X // is the target block x goal, Y is the target block y goal and blocks is an // enumeration of each of the board's cells, with each cell being a 2-letter // or 2-digit block representation (a 3x3 board would have a string // representation with length 5 + 3*3 * 2). The board's cells are enumerated // from top-left to bottom-right with each block's pivot being its top-left // corner. class puzzle { public: // A block is represented as a 2-digit string "wh", where w is the block width // and h the block height. // The target block (to remove from the board) is represented as a 2-letter // lower-case string "xy", where x is the block width and y the block height and // width/height are represented by [abcdefghi] (~= [123456789]). // Immovable blocks are represented as a 2-letter upper-case string "XY", where // X is the block width and Y the block height and width/height are represented // by [ABCDEFGHI] (~= [123456789]). class block { public: int x = 0; int y = 0; int width = 0; int height = 0; bool target = false; bool immovable = false; public: block(const int _x, const int _y, const int _width, const int _height, const bool _target = false, const bool _immovable = false) : x(_x), y(_y), width(_width), height(_height), target(_target), immovable(_immovable) { if (_x < 0 || _x + _width > 9 || _y < 0 || _y + _height > 9) { errln("Block must fit in a 9x9 board!"); exit(1); } } block(const int _x, const int _y, const std::string& b) : x(_x), y(_y) { if (b.length() != 2) { errln("Block representation must have length 2!"); exit(1); } if (b == "..") { this->x = 0; this->y = 0; width = 0; height = 0; target = false; return; } target = false; constexpr std::array target_chars{'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i'}; for (const char c : target_chars) { if (b.contains(c)) { target = true; break; } } immovable = false; constexpr std::array immovable_chars{'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I'}; for (const char c : immovable_chars) { if (b.contains(c)) { immovable = true; break; } } if (target) { width = static_cast(b.at(0)) - static_cast('a') + 1; height = static_cast(b.at(1)) - static_cast('a') + 1; } else if (immovable) { width = static_cast(b.at(0)) - static_cast('A') + 1; height = static_cast(b.at(1)) - static_cast('A') + 1; } else { // println("Parsing block string '{}' at ({}, {})", b, _x, _y); width = std::stoi(b.substr(0, 1)); height = std::stoi(b.substr(1, 1)); } if (_x < 0 || _x + width > 9 || _y < 0 || _y + height > 9) { errln("Block must fit in a 9x9 board!"); exit(1); } } block() = delete; auto operator==(const block& other) const -> bool { return x == other.x && y == other.y && width && other.width && target == other.target && immovable == other.immovable; } auto operator!=(const block& other) const -> bool { return !(*this == other); } public: [[nodiscard]] auto hash() const -> size_t; [[nodiscard]] auto valid() const -> bool; [[nodiscard]] auto string() const -> std::string; // Movement [[nodiscard]] auto principal_dirs() const -> int; [[nodiscard]] auto covers(int _x, int _y) const -> bool; [[nodiscard]] auto collides(const block& b) const -> bool; }; private: // https://en.cppreference.com/w/cpp/iterator/input_iterator.html class block_iterator { public: using difference_type = std::ptrdiff_t; using value_type = block; private: const puzzle& state; int current_pos; public: explicit block_iterator(const puzzle& _state) : state(_state), current_pos(0) {} block_iterator(const puzzle& _state, const int _current_pos) : state(_state), current_pos(_current_pos) {} auto operator*() const -> block { return {current_pos % state.width, current_pos / state.width, state.state.substr(current_pos * 2 + PREFIX, 2)}; } auto operator++() -> block_iterator& { do { current_pos++; } while (current_pos < state.width * state.height && state.state.substr(current_pos * 2 + PREFIX, 2) == ".."); return *this; } auto operator==(const block_iterator& other) const -> bool { return state == other.state && current_pos == other.current_pos; } auto operator!=(const block_iterator& other) const -> bool { return !(*this == other); } }; public: static constexpr int PREFIX = 5; static constexpr int MIN_WIDTH = 3; static constexpr int MIN_HEIGHT = 3; static constexpr int MAX_WIDTH = 9; static constexpr int MAX_HEIGHT = 9; int width = 0; int height = 0; int target_x = 9; int target_y = 9; bool restricted = false; // Only allow blocks to move in their principal direction std::string state; public: puzzle() = delete; puzzle(const int w, const int h, const int tx, const int ty, const bool r) : width(w), height(h), target_x(tx), target_y(ty), restricted(r), state( std::format("{}{}{}{}{}{}", r ? "R" : "F", w, h, tx, ty, std::string(w * h * 2, '.'))) { if (w < 1 || w > 9 || h < 1 || h > 9) { errln("State width/height must be in [1, 9]!"); exit(1); } if (tx < 0 || tx >= 9 || ty < 0 || ty >= 9) { if (tx != 9 && ty != 9) { errln("State target must be within the board bounds!"); exit(1); } } } puzzle(const int w, const int h, const bool r) : puzzle(w, h, 9, 9, r) {} explicit puzzle(const std::string& s) : width(std::stoi(s.substr(1, 1))), height(std::stoi(s.substr(2, 1))), target_x(std::stoi(s.substr(3, 1))), target_y(std::stoi(s.substr(4, 1))), restricted(s.substr(0, 1) == "R"), state(s) { if (width < 1 || width > 9 || height < 1 || height > 9) { errln("State width/height must be in [1, 9]!"); exit(1); } if (target_x < 0 || target_x >= 9 || target_y < 0 || target_y >= 9) { if (target_x != 9 && target_y != 9) { errln("State target must be within the board bounds!"); exit(1); } } if (static_cast(s.length()) != width * height * 2 + PREFIX) { errln("State representation must have length width * " "height * 2 + {}!", PREFIX); exit(1); } } public: auto operator==(const puzzle& other) const -> bool { return state == other.state; } auto operator!=(const puzzle& other) const -> bool { return !(*this == other); } [[nodiscard]] auto begin() const -> block_iterator { block_iterator it{*this}; if (!(*it).valid()) { ++it; } return it; } [[nodiscard]] auto end() const -> block_iterator { return {*this, width * height}; } private: [[nodiscard]] auto get_index(int x, int y) const -> int; public: [[nodiscard]] auto hash() const -> size_t; [[nodiscard]] auto has_win_condition() const -> bool; [[nodiscard]] auto won() const -> bool; [[nodiscard]] auto valid() const -> bool; [[nodiscard]] auto try_get_invalid_reason() const -> std::optional; // Repr helpers [[nodiscard]] auto try_get_block(int x, int y) const -> std::optional; [[nodiscard]] auto try_get_target_block() const -> std::optional; [[nodiscard]] auto covers(int x, int y, int w, int h) const -> bool; [[nodiscard]] auto covers(int x, int y) const -> bool; [[nodiscard]] auto covers(const block& b) const -> bool; // Editing [[nodiscard]] auto try_toggle_restricted() const -> std::optional; [[nodiscard]] auto try_set_goal(int x, int y) const -> std::optional; [[nodiscard]] auto try_clear_goal() const -> std::optional; [[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(const block& b) const -> std::optional; [[nodiscard]] auto try_remove_block(int x, int y) const -> std::optional; [[nodiscard]] auto try_toggle_target(int x, int y) const -> std::optional; [[nodiscard]] auto try_toggle_wall(int x, int y) const -> std::optional; // Playing [[nodiscard]] auto try_move_block_at(int x, int y, direction dir) const -> std::optional; // Statespace [[nodiscard]] auto find_adjacent_puzzles() const -> std::vector; [[nodiscard]] auto explore_state_space() const -> std::pair, std::vector>>; }; // Provide hash functions so we can use State and as hash-set // keys for masses and springs. template <> struct std::hash { auto operator()(const puzzle& s) const noexcept -> size_t { return s.hash(); } }; template <> struct std::hash> { auto operator()(const std::pair& s) const noexcept -> size_t { const size_t h1 = std::hash{}(s.first); const size_t h2 = std::hash{}(s.second); return h1 + h2 + h1 * h2; // return (h1 ^ h2) + 0x9e3779b9 + (std::min(h1, h2) << 6) + (std::max(h1, h2) >> 2); } }; template <> struct std::equal_to> { 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); } }; using win_condition = std::function; #endif