1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
use crate::othello::{
    constants::{
        BLACK_START_POS, FILE_A, FILE_H, MASKS, RANK_1, RANK_8, SHIFT_DIRS, SHIFT_MASKS,
        SHIFT_RAYS, WHITE_START_POS,
    },
    display::OthelloDisplay,
    Stone,
};
use std::convert::TryFrom;

#[cfg(feature = "serde")]
use serde::{Deserialize, Serialize};

/// Represents an Othello board and provides convenient methods to safely manipulate it.
///
/// The board is represented by two bitboards, one for black player and one for
/// white player. Each bitboard is a 64-bit unsigned integer, where each bit
/// encodes if a stone for that player exists on that space. As can be seen in
/// the graphic below, MSB denotes A1 while LSB denotes H8.
///
/// Many operations on the Othello board either requires or returns `u64`, all
/// of which are interpreted the same way as the graphic below. Some
/// operations, like [`place_stone`] expects that the argument bitboard only
/// has a single bit set and will return an error if that is false.
///
/// [`place_stone`]: crate::othello::OthelloBoard::place_stone
///
/// ```text
///     A    B    C    D    E    F    G    H
///   +----+----+----+----+----+----+----+----+
/// 1 | 00 | 01 | 02 | 03 | 04 | 05 | 06 | 07 |
///   +----+----+----+----+----+----+----+----+
/// 2 | 08 | 09 | 10 | 11 | 12 | 13 | 14 | 15 |
///   +----+----+----+----+----+----+----+----+
/// 3 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 |
///   +----+----+----+----+----+----+----+----+
/// 4 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 |
///   +----+----+----+----+----+----+----+----+
/// 5 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
///   +----+----+----+----+----+----+----+----+
/// 6 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 |
///   +----+----+----+----+----+----+----+----+
/// 7 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 |
///   +----+----+----+----+----+----+----+----+
/// 8 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 |
///   +----+----+----+----+----+----+----+----+
/// ```
#[cfg_attr(feature = "serde", derive(Serialize, Deserialize))]
// Since we need to perform some validation but do not want to write a custom
// serde deserializer, we instead create a shadow type. This shadow type can be
// deserialized and nothing else. Thanks to some Serde magic it is possible to
// reuse the TryFrom trait and get proper validation.
#[cfg_attr(feature = "serde", serde(try_from = "ShadowOthelloBoard"))]
#[derive(Clone, Debug, Eq, PartialEq, Hash)]
pub struct OthelloBoard {
    black_stones: u64,
    white_stones: u64,
}

impl OthelloBoard {
    /// Returns a completely empty board.
    ///
    /// This can be useful for setting up specific scenarios but for most
    /// users, the [`standard`] constructor will be more useful.
    ///
    /// [`standard`]: crate::othello::OthelloBoard::standard
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::OthelloBoard;
    ///
    /// let board = OthelloBoard::empty();
    /// ```
    pub fn empty() -> OthelloBoard {
        OthelloBoard {
            black_stones: 0,
            white_stones: 0,
        }
    }

    /// Returns a board with the standard opening position configured.
    ///
    /// If `W` denotes white and `B` denotes black, this is the opening
    /// position:
    /// ```text
    ///     ABCDEFGH
    ///    +--------+
    ///  1 |........|
    ///  2 |........|
    ///  3 |........|
    ///  4 |...WB...|
    ///  5 |...BW...|
    ///  6 |........|
    ///  7 |........|
    ///  8 |........|
    ///    +--------+
    /// ```
    /// # Examples
    /// ```rust
    /// use magpie::othello::OthelloBoard;
    ///
    /// let board = OthelloBoard::standard();
    /// ```
    pub fn standard() -> OthelloBoard {
        OthelloBoard {
            black_stones: BLACK_START_POS,
            white_stones: WHITE_START_POS,
        }
    }

    /// Places stones in the specified positions.
    ///
    /// Unlike the similar [`place_stone`] function, this function places no
    /// restrictions on the `pos` argument. Multiple stones may be placed at
    /// once, but no other stones will be flipped as during normal play.
    /// The only check is regarding whether or not any of the stones would be
    /// placed on top of a stone of the opposite color, and if so, returns an
    /// error leaving the board untouched.
    ///
    ///  [`place_stone`]: crate::othello::OthelloBoard::place_stone
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let mut board = OthelloBoard::empty();
    /// assert!(board.place_stone_unchecked(Stone::Black, 1_u64).is_ok());
    /// ```
    pub fn place_stone_unchecked(&mut self, stone: Stone, pos: u64) -> Result<(), OthelloError> {
        if self.bits_for(stone.flip()) & pos != 0 {
            return Err(OthelloError::PiecesOverlapping);
        }
        match stone {
            Stone::Black => self.black_stones |= pos,
            Stone::White => self.white_stones |= pos,
        }
        Ok(())
    }

    /// Removes stones in the specified positions.
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let mut board = OthelloBoard::standard();
    /// let black_stones = board.bits_for(Stone::Black);
    /// let white_stones = board.bits_for(Stone::White);
    /// board.remove_stone_unchecked(Stone::Black, black_stones);
    /// board.remove_stone_unchecked(Stone::White, white_stones);
    /// assert_eq!(OthelloBoard::empty(), board);
    /// ```
    pub fn remove_stone_unchecked(&mut self, stone: Stone, pos: u64) {
        match stone {
            Stone::Black => self.black_stones &= !pos,
            Stone::White => self.white_stones &= !pos,
        }
    }

    /// Places a stone in the specified position and updates the board accordingly.
    ///
    /// If the argument `pos` does not have exactly one bit set or the move is
    /// not legal, an error will be returned, leaving the board untouched.
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, StoneExt, Stone};
    ///
    /// let mut board = OthelloBoard::standard();
    /// let player = Stone::Black;
    /// let pos = board
    ///     .moves_for(player)
    ///     .stones()
    ///     .next()
    ///     .unwrap();
    /// assert!(board.place_stone(Stone::Black, pos).is_ok());
    /// ```
    pub fn place_stone(&mut self, stone: Stone, pos: u64) -> Result<(), OthelloError> {
        if pos.count_ones() != 1 {
            return Err(OthelloError::MultipleMovesAttempted);
        }

        let current_bits = self.bits_for(stone);
        let opponent_bits = self.bits_for(stone.flip());

        // Pos must be on an empty square to be legal
        if pos & (current_bits | opponent_bits) != 0 {
            return Err(OthelloError::IllegalMove);
        }

        let mut mask = 0;
        for (i, shift) in SHIFT_DIRS.iter().enumerate() {
            let mut dir_mask = 0;
            let shift_mask = SHIFT_MASKS[i] & SHIFT_RAYS[pos.leading_zeros() as usize][i];
            let opponent_bits = opponent_bits & shift_mask;

            let mut current = pos;
            let mut next = current;
            while current != 0 {
                dir_mask |= current;
                next = dir_shift(current, *shift);
                current = next & opponent_bits;
            }
            if next & current_bits != 0 {
                mask |= dir_mask ^ pos;
            }
        }

        if mask == 0 {
            return Err(OthelloError::IllegalMove);
        }

        match stone {
            Stone::Black => {
                self.black_stones |= mask | pos;
                self.white_stones ^= mask;
            }
            Stone::White => {
                self.white_stones |= mask | pos;
                self.black_stones ^= mask;
            }
        }
        Ok(())
    }

    /// Returns the bitboard representation of the specified player.
    ///
    /// The returned bitboard represents the Othello board. For a more detailed
    /// description, refer to the documentation of the [`OthelloBoard struct`].
    ///
    /// [`OthelloBoard struct`]: crate::othello::OthelloBoard
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let board = OthelloBoard::standard();
    /// let black = board.bits_for(Stone::Black);
    /// let white = board.bits_for(Stone::White);
    /// // The two bitboards do not intersect
    /// assert_eq!(0, black & white);
    /// ```
    pub fn bits_for(&self, stone: Stone) -> u64 {
        match stone {
            Stone::Black => self.black_stones,
            Stone::White => self.white_stones,
        }
    }

    /// Checks whether or not a move is valid for the specified player.
    ///
    /// The specified bitboard must have one and only one bit set. If this is
    /// not true, the function will always return false.
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let board = OthelloBoard::standard();
    /// assert_eq!(false, board.is_legal_move(Stone::Black, 1_u64));
    /// ```
    pub fn is_legal_move(&self, stone: Stone, pos: u64) -> bool {
        if pos.count_ones() != 1 {
            return false;
        }
        let current_bits = self.bits_for(stone);
        let opponent_bits = self.bits_for(stone.flip());

        // Pos must be on an empty square to be legal
        if pos & (current_bits | opponent_bits) != 0 {
            return false;
        }

        for (i, shift) in SHIFT_DIRS.iter().enumerate() {
            let mut dir_mask = 0;
            let shift_mask = SHIFT_MASKS[i] & SHIFT_RAYS[pos.leading_zeros() as usize][i];
            let opponent_bits = opponent_bits & shift_mask;

            let mut current = pos;
            let mut next = current;
            while current != 0 {
                dir_mask |= current;
                next = dir_shift(current, *shift);
                current = next & opponent_bits;
            }
            if next & current_bits != 0 && dir_mask ^ pos != 0 {
                return true;
            }
        }
        false
    }

    /// Calculates and returns the set of all legal moves for the specified player.
    ///
    /// The returned bitboard represents the Othello board. For a more detailed
    /// description, refer to the documentation of the [`OthelloBoard struct`].
    ///
    /// [`OthelloBoard struct`]: crate::othello::OthelloBoard
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let board = OthelloBoard::standard();
    /// let stone = Stone::Black;
    /// assert_eq!(4, board.moves_for(stone).count_ones());
    /// ```
    pub fn moves_for(&self, stone: Stone) -> u64 {
        let current_bits = self.bits_for(stone);
        let opponent_bits = self.bits_for(stone.flip());
        let empty_squares = self.empty_squares();

        let move_in_dir = |mask: u64, shift: i8| {
            let excluded: u64 = opponent_bits & mask;
            let mut m: u64 = dir_shift(current_bits, shift) & excluded;
            m |= dir_shift(m, shift) & excluded;
            m |= dir_shift(m, shift) & excluded;
            m |= dir_shift(m, shift) & excluded;
            m |= dir_shift(m, shift) & excluded;
            m |= dir_shift(m, shift) & excluded;
            dir_shift(m, shift) & empty_squares
        };

        let exclude_top_bottom = !(RANK_1 | RANK_8);
        let exclude_left_right = !(FILE_A | FILE_H);

        let mut moves = move_in_dir(exclude_top_bottom, -8);
        moves |= move_in_dir(exclude_left_right, -7);
        moves |= move_in_dir(exclude_left_right, 1);
        moves |= move_in_dir(exclude_left_right, 9);
        moves |= move_in_dir(exclude_top_bottom, 8);
        moves |= move_in_dir(exclude_left_right, 7);
        moves |= move_in_dir(exclude_left_right, -1);
        moves | move_in_dir(exclude_left_right, -9)
    }

    /// Returns the set of all empty squares on the board.
    ///
    /// The returned bitboard represents the Othello board. For a more detailed
    /// description, refer to the documentation of the [`OthelloBoard struct`]
    ///
    /// [`OthelloBoard struct`]: crate::othello::OthelloBoard
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::OthelloBoard;
    ///
    /// let board = OthelloBoard::standard();
    /// assert_eq!(60, board.empty_squares().count_ones());
    /// ```
    pub fn empty_squares(&self) -> u64 {
        !(self.black_stones | self.white_stones)
    }

    /// Queries the board in the specified position after a stone.
    ///
    /// If the argument `pos` does not have exactly one bit set, the function
    /// will evaluate to None.
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let board = OthelloBoard::standard();
    /// let pos = 0x8000000;
    /// assert_eq!(Some(Stone::White), board.stone_at(pos));
    ///  ```
    pub fn stone_at(&self, pos: u64) -> Option<Stone> {
        if pos.count_ones() != 1 {
            None
        } else if self.black_stones & pos > 0 {
            Some(Stone::Black)
        } else if self.white_stones & pos > 0 {
            Some(Stone::White)
        } else {
            None
        }
    }

    /// Returns a struct that implements [`Display`] for customizing the display of Othello boards.
    ///
    /// Formatting options can be found in the docs for [`OthelloDisplay`].
    ///
    /// [`Display`]: std::fmt::Display
    /// [`OthelloDisplay`]: crate::othello::OthelloDisplay
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    ///
    /// let board = OthelloBoard::standard();
    /// println!("{}", board.display());
    ///  ```
    pub fn display(&self) -> OthelloDisplay {
        OthelloDisplay::new(&self)
    }
}

#[cfg_attr(feature = "serde", derive(Deserialize))]
#[cfg(feature = "serde")]
struct ShadowOthelloBoard {
    black_stones: u64,
    white_stones: u64,
}

#[cfg(feature = "serde")]
impl std::convert::TryFrom<ShadowOthelloBoard> for OthelloBoard {
    type Error = &'static str;

    fn try_from(unchecked: ShadowOthelloBoard) -> Result<Self, Self::Error> {
        // Simply delegate to the main TryFrom trait implementation
        OthelloBoard::try_from((unchecked.black_stones, unchecked.white_stones)).map_err(|_| {
            // While it would be possible to simply implement fmt::Display on OthelloError,
            // this solution leaves that trait open for future uses.
            // Furthermore, in this case, no other error will be reasonably returned.
            "Overlapping pieces detected"
        })
    }
}

impl Default for OthelloBoard {
    /// Returns a board with the standard opening position configured.
    ///
    /// Simply delegates to the [`standard`] constructor.
    ///
    /// [`standard`]: crate::othello::OthelloBoard::standard
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::OthelloBoard;
    ///
    /// assert_eq!(OthelloBoard::standard(), OthelloBoard::default());
    /// ```
    fn default() -> Self {
        OthelloBoard::standard()
    }
}

impl TryFrom<(u64, u64)> for OthelloBoard {
    type Error = OthelloError;

    /// Returns a board built from the two specified bitboards.
    ///
    /// Returns an error if the two bitboards intersect.
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, Stone};
    /// use std::convert::TryFrom;
    ///
    /// let board = OthelloBoard::standard();
    /// let black = board.bits_for(Stone::Black);
    /// let white = board.bits_for(Stone::White);
    ///
    /// // Quite a contrived example
    /// let board = OthelloBoard::try_from((black, white));
    /// assert_eq!(Ok(OthelloBoard::standard()), board);
    /// ```
    fn try_from(stones: (u64, u64)) -> Result<Self, Self::Error> {
        let (black_stones, white_stones) = stones;
        if black_stones & white_stones != 0 {
            return Err(OthelloError::PiecesOverlapping);
        }
        let board = OthelloBoard {
            black_stones,
            white_stones,
        };
        Ok(board)
    }
}

/// This enum represents errors that may occur when using the Othello board.
#[derive(Debug, Eq, PartialEq, Hash)]
pub enum OthelloError {
    /// Indicates that an illegal move was attempted.
    IllegalMove,
    /// Indicates that multiple moves were attempted at once.
    MultipleMovesAttempted,
    /// Indicates that the operation would have resulted in one or more stones overlapping.
    PiecesOverlapping,
}

/// Extension trait that extracts all set bits from a bitboard.
pub trait StoneExt: Sized {
    type Iter: Iterator<Item = Self>;
    /// Given a bitboard, extracts each bit set to one as its own bitboard.
    ///
    /// For example, given the following (tiny) bitboard:
    /// ```text
    /// 100
    /// 000
    /// 001
    /// ```
    ///
    /// The iterator will break up that bitboard and yield the following
    /// bitboards:
    /// ```text
    /// 100    000
    /// 000 => 000
    /// 000    001
    /// ```
    ///
    /// [`SquareExt`] is a similar extension trait which may be of use as well.
    ///
    /// [`SquareExt`]: crate::othello::SquareExt
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, StoneExt, Stone};
    ///
    /// let mut board = OthelloBoard::standard();
    /// let player = Stone::Black;
    /// let pos = board
    ///     .moves_for(player) // Returns bitboard
    ///     .stones() // Convert that into multiple bitboards
    ///     .next()
    ///     .unwrap(); // The standard Othello opening is guaranteed to have at
    ///                // least one valid move
    /// assert!(board.place_stone(player, pos).is_ok());
    ///  ```
    fn stones(&self) -> Self::Iter;
}

impl StoneExt for u64 {
    type Iter = Box<dyn Iterator<Item = u64>>;
    fn stones(&self) -> Self::Iter {
        let this = *self;
        let iter = MASKS.iter().map(move |m| m & this).filter(|m| *m != 0);

        Box::new(iter)
    }
}

/// Extension trait that extracts all bits from a bitboard.
pub trait SquareExt: Sized {
    type Iter: Iterator<Item = Self>;
    /// Given a bitboard, extracts each bit as its own bitboard.
    ///
    /// For example, given the following (tiny) bitboard:
    /// ```text
    /// 111
    /// 000
    /// 111
    /// ```
    ///
    /// The iterator will break up that bitboard and yield the following
    /// bitboards:
    /// ```text
    /// 100    010    001    000    000    000    000    000    000
    /// 000 => 000 => 000 => 000 => 000 => 000 => 000 => 000 => 000
    /// 000    000    000    000    000    000    100    010    001
    /// ```
    /// The iterator always return 64 bitboards since Othello has 64 positions.
    ///
    /// [`StoneExt`] is a similar extension trait which may be of use as well.
    ///
    /// [`StoneExt`]: crate::othello::StoneExt
    ///
    /// # Examples
    /// ```rust
    /// use magpie::othello::{OthelloBoard, SquareExt};
    ///
    /// let mut board = OthelloBoard::standard();
    /// let pos = u64::MAX // Full bitboard (all bits set to 1)
    ///     .squares() // Convert that into multiple bitboards
    ///     .next()
    ///     .unwrap(); // Othello has 64 positions which means that this
    ///                // iterator will always return 64 bitboards
    /// assert_eq!(2_u64.pow(63), pos);
    ///  ```
    fn squares(&self) -> Self::Iter;
}

impl SquareExt for u64 {
    type Iter = Box<dyn Iterator<Item = u64>>;
    fn squares(&self) -> Self::Iter {
        let this = *self;
        let iter = MASKS.iter().map(move |m| m & this);

        Box::new(iter)
    }
}

// https://www.chessprogramming.org/General_Setwise_Operations#Generalized%20Shift
fn dir_shift(x: u64, shift: i8) -> u64 {
    if shift > 0 {
        x >> shift
    } else {
        x << -shift
    }
}