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
//! Bit vector with guaranteed `[u8]` representation and the ability to get safe immutable and
//! mutable views into its internal vector for easy I/O.
//!
//! It mirrors the API of `std::vec::Vec` as much as possible.

// TODO: Flesh out docs.

use std::fmt;
use std::num::Wrapping;

/// Bit vector with guaranteed `[u8]` representation and safe mutable access to this slice.
/// Slices into the bit vector are guaranteed to have the unused bits on the last set to 0.
#[derive(Clone, Eq)]
pub struct BitVec {
    nbits: usize,
    vec: Vec<u8>
}

fn bytes_in_bits(nbits: usize) -> usize {
    // #bytes = #ceil(nbits / 8)
    nbits / 8 +
        if nbits % 8 != 0 { 1 } else { 0 }
}

fn byte_from_bool(bit: bool) -> u8 {
    if bit { !0u8 } else { 0u8 }
}

impl BitVec {
    ////////////////////////////////////////
    // Constructors

    /// Constructs an empty `BitVec`.
    pub fn new() -> BitVec {
        BitVec { vec: Vec::new(), nbits: 0 }
    }

    /// Constructs a `BitVec` from bytes.
    pub fn from_bytes(bytes: &[u8]) -> BitVec {
        let mut vec = BitVec { vec: Vec::from(bytes), nbits: bytes.len() * 8 };
        vec.set_unused_zero();
        vec
    }

    /// Constructs a `BitVec` from a repeating bit value.
    pub fn from_elem(len: usize, value: bool) -> BitVec {
        let mut vec = BitVec {
            vec: vec![byte_from_bool(value); bytes_in_bits(len)],
            nbits: len
        };
        vec.set_unused_zero();
        vec
    }

    ////////////////////////////////////////
    // Converters/views

    /// Returns a byte slice view of the data.
    pub fn as_bytes(&self) -> &[u8] { &self.vec }

    /// Invokes the given function on a mut byte slice view of the data. After `f` completes, the
    /// trailing unused bits of the last byte are automatically set to 0.
    pub fn with_bytes_mut<U, F: FnOnce(&mut [u8]) -> U>(&mut self, f: F) -> U {
        let val = f(&mut self.vec);
        self.set_unused_zero();
        val
    }

    /// Consumes the `self` and returns the underlying `Vec<u8>` of length `ceil(self.len()/8)`.
    /// The values of the bits in the last byte of `Vec<u8>` beyond the length of the `BitVec` are
    /// unspecified.
    pub fn into_vec(self) -> Vec<u8> { self.vec }

    ////////////////////////////////////////
    // Getters/setters

    /// Returns the length of the bit vector.
    pub fn len(&self) -> usize { self.nbits }

    /// Validates the index for validity or panics.
    fn validate_index(&self, index: usize) {
        assert!(self.nbits <= self.vec.len() * 8,
                "Expected #bits {} <= 8 x (#bytes {} in vec).", self.nbits, self.vec.len());
        if index >= self.nbits { panic!("Index {} out of bounds [0, {})", index, self.nbits); }
    }

    /// Gets the bit at the given `index`.
    pub fn get(&self, index: usize) -> Option<bool> {
        if index < self.len() {
            Some(unsafe { self.get_unchecked(index) })
        } else {
            None
        }
    }

    /// Sets the bit at the given `index`. Panics if `index` exceeds length.
    pub fn set(&mut self, index: usize, value: bool) {
        self.validate_index(index);
        unsafe { self.set_unchecked(index, value) };
    }

    /// Swaps two elements in the `BitVec`.
    pub fn swap(&mut self, i: usize, j: usize) {
        self.validate_index(i);
        self.validate_index(j);
        unsafe {
            let val_i = self.get_unchecked(i);
            let val_j = self.get_unchecked(j);
            self.set_unchecked(i, val_j);
            self.set_unchecked(j, val_i);
        }
    }

    /// Gets the bit at the given `index` without bounds checking.
    pub unsafe fn get_unchecked(&self, index: usize) -> bool {
        let byte = self.vec.get_unchecked(index / 8);
        let pattern = 1u8 << (index % 8);
        (*byte & pattern) != 0u8
    }

    /// Sets the bit at the given `index` without bounds checking.
    pub unsafe fn set_unchecked(&mut self, index: usize, value: bool) {
        let byte = self.vec.get_unchecked_mut(index / 8);
        let pattern = 1u8 << (index % 8);
        *byte = if value { *byte |  pattern }
                else     { *byte & !pattern };
    }

    ////////////////////////////////////////
    // Adding/removing items

    /// Pushes a boolean to the end of the `BitVec`.
    pub fn push(&mut self, value: bool) {
        let nbits = self.nbits; // avoid mutable borrow error
        if nbits % 8 == 0 {
            self.vec.push(if value { 1u8 } else { 0u8 });
        } else {
            unsafe { self.set_unchecked(nbits, value) };
        }
        self.nbits += 1;
    }

    /// Pops a boolean from the end of the `BitVec`.
    pub fn pop(&mut self) -> Option<bool> {
        if self.nbits == 0 { return None }
        self.nbits -= 1;

        // Get the popped bit value to return.
        let nbits = self.nbits; // avoid mutable borrow error
        let value = unsafe { self.get_unchecked(nbits) };
        // Set the popped bit value to 0.
        unsafe { self.set_unchecked(nbits, false); }
        // Pop off the last byte from the underlying vector if it has no active bits.
        if self.nbits % 8 == 0 {
            assert!(self.nbits == (self.vec.len() - 1) * 8,
                "Expected #bits {} == 8 x (#bytes {} in vec - 1) after bit pop and before vec pop.",
                self.nbits, self.vec.len());
            self.vec.pop();
        }

        Some(value)
    }

    /// Clears the `BitVec`, removing all values.
    pub fn clear(&mut self) {
        self.vec.clear();
        self.nbits = 0;
    }

    /// Returns the number of booleans that the bitvec can hold without reallocating.
    pub fn capacity(&mut self) -> usize {
        self.vec.capacity() * 8
    }

    /// Reserves capacity for at least additional more booleans to be inserted in the given
    /// `BitVec`. The collection may reserve more space to avoid frequent reallocations.
    pub fn reserve(&mut self, additional: usize) {
        self.vec.reserve(bytes_in_bits(additional))
    }

    /// Shorten a vector, dropping excess elements.
    ///
    /// If `len` is greater than the vector's current length, this has no effect.
    pub fn truncate(&mut self, len: usize) {
        if len < self.len() {
            let nbytes = bytes_in_bits(len);
            self.vec.truncate(nbytes);
            self.nbits = len;
            self.set_unused_zero()
        }
    }

    /// Reserves capacity for at least additional more booleans to be inserted in the given
    /// `BitVec`. The collection may reserve more space to avoid frequent reallocations.
    pub fn resize(&mut self, new_len: usize, value: bool) {
        if new_len > self.len() {
            let additional = new_len - self.len();
            self.reserve(additional);
            self.extend(::std::iter::repeat(value).take(additional));
        } else {
            self.truncate(new_len);
        }
    }

    ////////////////////////////////////////
    // Iterators

    /// Returns an iterator for the booleans in the array.
    pub fn iter(&self) -> Iter {
        Iter { vec: self, index: 0 }
    }

    ////////////////////////////////////////
    // Helpers

    /// Sets the extra unused bits in the bitvector to 0.
    fn set_unused_zero(&mut self) {
        if self.nbits % 8 == 0 { return }
        let len = self.vec.len(); // avoid mutable borrow error
        assert!(len > 0);

        let byte = unsafe { self.vec.get_unchecked_mut(len - 1) };
        // Pattern with all 1's in the used bits only, avoiding overflow check in debug.
        let pattern = (Wrapping(1u8 << (self.nbits % 8)) - Wrapping(1u8)).0;
        *byte &= pattern;
    }
}

impl PartialEq<BitVec> for BitVec {
    fn eq(&self, other: &BitVec) -> bool {
        self.nbits == other.nbits && self.vec == other.vec
    }
}

impl fmt::Debug for BitVec {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        write!(f, "BitVec{{{:?}: {}}}", self.nbits, &self)
    }
}

impl fmt::Display for BitVec {
    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
        for (val, index) in self.iter().zip(0..usize::max_value()) {
            if index > 0 && index % 8 == 0 {
                try!(write!(f, " "));
            }
            try!(write!(f, "{}", if val { "1" } else { "." }));
        }
        Ok(())
    }
}

impl ::std::iter::Extend<bool> for BitVec {
    fn extend<T>(&mut self, iterable: T)
        where T: ::std::iter::IntoIterator<Item = bool>
    {
        for val in iterable { self.push(val); }
    }
}

impl<'a> ::std::iter::Extend<&'a bool> for BitVec {
    fn extend<T>(&mut self, iterable: T)
        where T: ::std::iter::IntoIterator<Item = &'a bool>
    {
        for val in iterable { self.push(*val); }
    }
}

////////////////////////////////////////////////////////////////////////////////
// Iterators

/// Allows forward iteration through the bits of a bit vector.
pub struct Iter<'a> {
    vec: &'a BitVec,
    index: usize
}

impl<'a> Iterator for Iter<'a> {
    type Item = bool;

    fn next(&mut self) -> Option<Self::Item> {
        if self.index >= self.vec.nbits {
            None
        } else {
            let val = unsafe { self.vec.get_unchecked(self.index) };
            self.index += 1;
            Some(val)
        }
    }
}

////////////////////////////////////////////////////////////////////////////////
// Indexing operations

static TRUE: bool = true;
static FALSE: bool = false;

impl ::std::ops::Index<usize> for BitVec {
    type Output = bool;

    fn index(&self, index: usize) -> &Self::Output {
        assert!(index < self.len());
        let value = unsafe { self.get_unchecked(index) };
        if value { &TRUE } else { &FALSE }
    }
}

////////////////////////////////////////////////////////////////////////////////

#[cfg(test)]
mod test {
    use super::BitVec;

    #[test]
    fn test_index() {
        let vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        assert_eq!(vec[0], true);
        assert_eq!(vec[4], false);
        assert_eq!(vec[15], true);
    }

    #[test]
    fn test_constructors() {
        let vec = BitVec::new();
        assert_eq!(vec.len(), 0);
        assert_eq!(vec.as_bytes(), &[]);

        let vec = BitVec::from_bytes(&[0xab, 0xcd]);
        assert_eq!(vec.len(), 16);
        assert_eq!(vec.as_bytes(), &[0xab, 0xcd]);

        let vec = BitVec::from_elem(4, true);
        assert_eq!(vec.len(), 4);
        assert_eq!(vec.as_bytes(), &[0x0f]);

        let vec = BitVec::from_elem(31, true);
        assert_eq!(vec.len(), 31);
        assert_eq!(vec.as_bytes(), &[0xff, 0xff, 0xff, 0x7f]);

        let vec = BitVec::from_elem(4, false);
        assert_eq!(vec.len(), 4);
        assert_eq!(vec.as_bytes(), &[0]);

        let vec = BitVec::from_elem(31, false);
        assert_eq!(vec.len(), 31);
        assert_eq!(vec.as_bytes(), &[0, 0, 0, 0]);
    }

    #[test]
    fn test_with_bytes_mut() {
        let mut vec = BitVec::from_elem(28, false);
        assert_eq!(vec.len(), 28);
        assert_eq!(vec.as_bytes(), &[0, 0, 0, 0]);

        // Fill the underlying buffers with all 1s.
        vec.with_bytes_mut(|slice| {
            assert_eq!(slice.len(), 4);
            for i in 0..4 { slice[i] = 0xff; }
        });
        // Expect the unused bytes to be zeroed out.
        assert_eq!(vec.as_bytes(), &[0xff, 0xff, 0xff, 0x0f]);
    }

    #[test]
    fn test_into_vec() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45, 0xe3]);
        vec.pop(); vec.pop();
        assert_eq!(vec.len(), 54);
        let vec = vec.into_vec();
        assert_eq!(vec, &[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45, 0x23]);
    }

    #[test]
    fn test_get_set_index() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        assert_eq!(vec.as_bytes(), &[0xef, 0xa5, 0x71]);
        assert_eq!(Some(true), vec.get(8));
        assert_eq!(true, vec[8]);

        vec.set(8, true);
        assert_eq!(Some(true), vec.get(8));
        assert_eq!(true, vec[8]);
        assert_eq!(vec.as_bytes(), &[0xef, 0xa5, 0x71]);

        vec.set(8, false);
        assert_eq!(Some(false), vec.get(8));
        assert_eq!(false, vec[8]);
        assert_eq!(vec.as_bytes(), &[0xef, 0xa4, 0x71]);

        vec.set(7, false);
        assert_eq!(Some(false), vec.get(7));
        assert_eq!(false, vec[7]);
        assert_eq!(vec.as_bytes(), &[0x6f, 0xa4, 0x71]);

        assert_eq!(None, vec.get(vec.len()));
    }

    #[test]
    fn test_pop_to_empty() {
        let mut vec = BitVec::new();
        assert_eq!(vec.pop(), None);
        assert_eq!(vec.pop(), None);

        let mut vec = BitVec::from_bytes(&[0b01111111]);
        assert_eq!(vec.pop(), Some(false));
        assert_eq!(vec.len(), 7);
        for _ in 0..7 {
            assert_eq!(vec.pop(), Some(true));
        }
        assert_eq!(vec.len(), 0);
        assert_eq!(vec.pop(), None);
        assert_eq!(vec.pop(), None);
        assert_eq!(vec.len(), 0);
    }

    #[test]
    fn test_pop_push() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45, 0b11100011]);
        assert_eq!(vec.len(), 56);

        // Pop 2 bits and expect the slice view to show zeros for them.
        assert_eq!(vec.pop(), Some(true));
        assert_eq!(vec.pop(), Some(true));
        assert_eq!(vec.len(), 54);
        assert_eq!(vec.as_bytes(), &[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45, 0b00100011]);

        // Finish popping the byte and expect the slice to be one byte shorter.
        assert_eq!(vec.pop(), Some(true));
        assert_eq!(vec.pop(), Some(false));
        assert_eq!(vec.pop(), Some(false));
        assert_eq!(vec.pop(), Some(false));
        assert_eq!(vec.pop(), Some(true));
        assert_eq!(vec.pop(), Some(true));
        assert_eq!(vec.len(), 48);
        assert_eq!(vec.as_bytes(), &[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45]);

        // Push another byte in.
        for _ in 0..4 {
            vec.push(true);
            vec.push(false);
        }
        assert_eq!(vec.len(), 56);
        assert_eq!(vec.as_bytes(), &[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45, 0b01010101]);
    }

    #[test]
    fn test_clear() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xcd, 0xab, 0x89, 0x67, 0x45, 0xe3]);
        assert_eq!(vec.len(), 56);
        vec.clear();
        assert_eq!(vec.len(), 0);
        assert_eq!(vec.as_bytes(), &[]);
    }

    fn assert_iter_eq(vec: &BitVec, expected: &Vec<bool>) {
        let actual: Vec<bool> = vec.iter().collect();
        assert_eq!(&actual, expected);
    }

    #[test]
    fn test_iter() {
        let l = true;
        let o = false;

        assert_iter_eq(&BitVec::new(), &Vec::new());

        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        // low bit to high bit:       f       e        5       a        1       7
        assert_iter_eq(&vec, &vec![l,l,l,l,o,l,l,l, l,o,l,o,o,l,o,l, l,o,o,o,l,l,l,o]);
        vec.pop(); vec.pop();
        
        // low bit to high bit:       f       e        5       a        1     3
        assert_iter_eq(&vec, &vec![l,l,l,l,o,l,l,l, l,o,l,o,o,l,o,l, l,o,o,o,l,l]);
    }

    #[test]
    #[should_panic(expected = "out of bounds")]
    fn test_set_validation() {
        &BitVec::from_bytes(&[0xef, 0xa5, 0x71]).set(24, true);
    }

    #[test]
    fn test_eq() {
        let vec1 = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        let mut vec2 = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        assert!(vec1 == vec2);
        vec2.push(true);
        assert!(vec1 != vec2);
        vec2.pop();
        assert!(vec1 == vec2);
        vec2.set(3, false);
        assert!(vec1 != vec2);
    }

    #[test]
    fn test_clone() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        assert_eq!(vec, vec.clone());
        vec.pop(); vec.pop();
        assert_eq!(vec, vec.clone());
    }

    #[test]
    fn test_debug() {
        assert_eq!(
            format!("{:?}", &BitVec::from_bytes(&[0xef, 0xa5, 0x71])),
            "BitVec{24: 1111.111 1.1..1.1 1...111.}"
        )
    }

    #[test]
    fn test_swap() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        vec.swap(0, 23);
        assert_eq!(vec.len(), 24);
        assert_eq!(vec.as_bytes(), &[0xee, 0xa5, 0xf1]);
        vec.swap(0, 5);
        assert_eq!(vec.len(), 24);
        assert_eq!(vec.as_bytes(), &[0xcf, 0xa5, 0xf1]);
    }

    #[test]
    fn test_capacity_reserve() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);
        assert_eq!(vec.len(), 24);
        assert!(vec.capacity() >= vec.len());
        let new_capacity = 2 * vec.capacity();
        vec.reserve(new_capacity);
        assert!(vec.capacity() >= new_capacity);
    }

    #[test]
    fn test_truncate_extend() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);

        vec.truncate(25);
        assert_eq!(vec.len(), 24);
        assert_eq!(vec.as_bytes(), &[0xef, 0xa5, 0x71]);

        vec.truncate(12);
        assert_eq!(vec.len(), 12);
        assert_eq!(vec.as_bytes(), &[0xef, 0x05]);

        vec.extend(::std::iter::repeat(true).take(5));
        assert_eq!(vec.len(), 17);
        assert_eq!(vec.as_bytes(), &[0xef, 0xf5, 0x01]);

        vec.extend(::std::iter::repeat(&true).take(6));
        assert_eq!(vec.len(), 23);
        assert_eq!(vec.as_bytes(), &[0xef, 0xf5, 0x7f]);
    }

    #[test]
    fn test_resize() {
        let mut vec = BitVec::from_bytes(&[0xef, 0xa5, 0x71]);

        vec.resize(24, true);
        assert_eq!(vec.len(), 24);
        assert_eq!(vec.as_bytes(), &[0xef, 0xa5, 0x71]);

        vec.resize(12, true);
        assert_eq!(vec.len(), 12);
        assert_eq!(vec.as_bytes(), &[0xef, 0x05]);

        vec.resize(17, true);
        assert_eq!(vec.len(), 17);
        assert_eq!(vec.as_bytes(), &[0xef, 0xf5, 0x01]);
    }
}