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//! Algorithm implementation for finding winner of the Connect6. //! //! Algorithm finds the continuous 6 stones on 4 directions, vertical, horizontal, two diagonals. //! Use dynamic programming to implement algorithm and swaping memories to obtain the memory efficiency. //! //! # Examples //! ```rust //! # extern crate connect6; //! # use connect6::game::{Game, Player, search}; //! let mut game = Game::new(); //! game.set((3, 4)).unwrap(); //! //! let winner = search(game.get_board()); //! assert_eq!(winner, Player::None); //! ``` use game::Player; use {Board, BOARD_SIZE}; #[cfg(test)] mod tests; /// Searching direction. /// /// For top-left to bottom-right search, only four direction is required to find the continuous 6 stones. /// Right-Horizontal, Down-Vertial, RightDown-Diagonal, LeftDown-Diagonal. #[derive(Copy, Clone, Debug)] pub enum Path { Right, Down, RightDown, LeftDown, } /// Number of the continuous stones for each directions. #[derive(Copy, Clone, Debug, PartialEq)] pub struct Cumulative { right: i32, down: i32, right_down: i32, left_down: i32, } impl Cumulative { /// Construct a new Cumulative pub fn new() -> Cumulative { Cumulative { right: 0, down: 0, right_down: 0, left_down: 0, } } /// Get a sum of specific path /// /// # Examples /// ``` /// # extern crate connect6; /// # use connect6::game::{Cumulative, Path}; /// let mut cum = Cumulative::new(); /// assert_eq!(cum.get(&Path::Right), 0); /// ``` pub fn get(&self, path: &Path) -> i32 { match path { &Path::Right => self.right, &Path::Down => self.down, &Path::RightDown => self.right_down, &Path::LeftDown => self.left_down, } } /// Get a mutable reference of cell with specific path /// /// # Examples /// ```rust /// # extern crate connect6; /// # use connect6::game::{Cumulative, Path}; /// let mut cum = Cumulative::new(); /// *cum.get_mut(&Path::Right) = 10; /// assert_eq!(cum.get(&Path::Right), 10); /// ``` pub fn get_mut(&mut self, path: &Path) -> &mut i32 { match path { &Path::Right => &mut self.right, &Path::Down => &mut self.down, &Path::RightDown => &mut self.right_down, &Path::LeftDown => &mut self.left_down, } } } /// Swapable two Cumulative arrays for dynamic programming /// /// `flag` represent index of previous arrays. /// Method swap can be implemented as just flip the flag bit. pub struct Block { flag: usize, mem: [[Cumulative; BOARD_SIZE + 2]; 2], } impl Block { /// Construct a new Block. pub fn new() -> Block { Block { flag: 0, mem: [[Cumulative::new(); BOARD_SIZE + 2]; 2], } } /// Get a tuple representation of block, (prev, current). pub fn as_tuple(&self) -> (&[Cumulative; BOARD_SIZE + 2], &[Cumulative; BOARD_SIZE + 2]) { let f = self.flag; (&self.mem[f], &self.mem[1 - f]) } /// Get a previous `Cumulative` cell for specific direction. /// /// If right direction is given, left cell of current column is return, /// if down direction is given, upper cell of current column is return, /// if left_down direction is given, upper-right cell of current column is return, /// if right_down direction is given, upper-left cell of current column is return. /// /// # Examples /// ```rust /// # extern crate connect6; /// # use connect6::game::{Block, Path}; /// let block = Block::new(); /// let (prev, current) = block.as_tuple(); /// let result = block.get_prev(1, &Path::Right); /// assert_eq!(*result, current[0]); /// ``` pub fn get_prev(&self, col: usize, path: &Path) -> &Cumulative { let (prev, now) = self.as_tuple(); match path { &Path::Right => &now[col - 1], &Path::Down => &prev[col], &Path::RightDown => &prev[col - 1], &Path::LeftDown => &prev[col + 1], } } /// Update current row with given update rule /// /// # Examples /// ```rust /// # extern crate connect6; /// # use connect6::game::{Block, Path}; /// let mut block = Block::new(); /// block.update_now(|row| row.iter_mut().for_each(|c| *c.get_mut(&Path::Right) = 1)); /// ``` pub fn update_now<F>(&mut self, update: F) where F: Fn(&mut [Cumulative; BOARD_SIZE + 2]), { let f = self.flag; let now = &mut self.mem[1 - f]; update(now); } /// Swap the row and clear the current. /// /// # Examples /// ```rust /// # extern crate connect6; /// # use connect6::{game::{Cumulative, Block}, BOARD_SIZE}; /// let mut block = Block::new(); /// let current_backup = { /// let (_, current) = block.as_tuple(); /// *current /// }; /// block.update_row(); /// let (prev, current) = block.as_tuple(); /// assert_eq!(*prev, current_backup); /// assert_eq!(*current, [Cumulative::new(); BOARD_SIZE+2]); /// ``` pub fn update_row(&mut self) { self.flag = 1 - self.flag; let now = &mut self.mem[1 - self.flag]; for i in 0..BOARD_SIZE + 2 { now[i] = Cumulative::new(); } } } /// Algorithm for finding winner of the Connect6. /// /// Algorithm finds the continuous 6 stones on 4 directions, vertical, horizontal, two diagonals. /// Use dynamic programming to implement algorithm and swaping memories to obtain the memory efficiency. /// /// # Examples /// ```rust /// # extern crate connect6; /// # use connect6::game::{Game, Player, search}; /// let mut game = Game::new(); /// game.set((3, 4)).unwrap(); /// /// let winner = search(game.get_board()); /// assert_eq!(winner, Player::None); /// ``` pub fn search(table: &Board) -> Player { let mut black = Block::new(); let mut white = Block::new(); // update the block if cell has stones fn path_iter(block: &mut Block, col: usize) -> bool { // convert to one-indexed array, for convenience let col = col + 1; let paths = [Path::Right, Path::Down, Path::RightDown, Path::LeftDown]; for path in paths.iter() { // update with previous cell let updated = block.get_prev(col, path).get(path) + 1; // find continuous six stones if updated >= 6 { return true; } block.update_now(|now| *now[col].get_mut(path) = updated); } false } for row in 0..BOARD_SIZE { black.update_row(); white.update_row(); for col in 0..BOARD_SIZE { match table[row][col] { Player::None => continue, Player::Black => { if path_iter(&mut black, col) { return Player::Black; } } Player::White => { if path_iter(&mut white, col) { return Player::White; } } }; } } Player::None }