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//! This module contains a simple [bit vector][BitVec] implementation with no overhead and a fast succinct
//! bit vector implementation with [rank and select queries][fast_rs_vec::RsVec].
use crate::bit_vec::mask::MaskedBitVec;
use crate::util::impl_iterator;
use std::mem::size_of;
pub mod fast_rs_vec;
pub mod mask;
/// Size of a word in bitvectors. All vectors operate on 64-bit words.
const WORD_SIZE: usize = 64;
/// Type alias for masked bitvectors that implement a simple bitwise binary operation.
/// The first lifetime is for the bit vector that is being masked, the second lifetime is for the
/// mask.
pub type BitMask<'s, 'b> = MaskedBitVec<'s, 'b, fn(u64, u64) -> u64>;
/// A simple bit vector that does not support rank and select queries. It stores bits densely
/// in 64 bit limbs. The last limb may be partially filled. Other than that, there is no overhead.
///
/// # Example
/// ```rust
/// use vers_vecs::{BitVec, RsVec};
///
/// let mut bit_vec = BitVec::new();
/// bit_vec.append_bit(0u64);
/// bit_vec.append_bit_u32(1u32);
/// bit_vec.append_word(0b1010_1010_1010_1010u64); // appends exactly 64 bits
///
/// assert_eq!(bit_vec.len(), 66);
/// assert_eq!(bit_vec.get(0), Some(0u64));
/// assert_eq!(bit_vec.get(1), Some(1u64));
/// ```
#[derive(Clone, Debug, Default, Eq, PartialEq, Hash)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
pub struct BitVec {
data: Vec<u64>,
len: usize,
}
impl BitVec {
/// Create a new empty bit vector.
#[must_use]
pub fn new() -> Self {
Self::default()
}
/// Create a new empty bit vector with the given capacity. The capacity is measured in bits.
#[must_use]
pub fn with_capacity(capacity: usize) -> Self {
Self {
data: Vec::with_capacity(capacity / WORD_SIZE + 1),
len: 0,
}
}
/// Create a new bit vector with all zeros and the given length. The length is measured in bits.
#[must_use]
pub fn from_zeros(len: usize) -> Self {
let mut data = vec![0; len / WORD_SIZE];
if len % WORD_SIZE != 0 {
data.push(0);
}
Self { data, len }
}
/// Create a new bit vector with all ones and the given length. The length is measured in bits.
#[must_use]
pub fn from_ones(len: usize) -> Self {
let mut data = vec![u64::MAX; len / WORD_SIZE];
if len % WORD_SIZE != 0 {
data.push((1 << (len % WORD_SIZE)) - 1);
}
Self { data, len }
}
/// Construct a bit vector from a set of bits given as distinct u8 values. The constructor will
/// take the least significant bit from each value and append it to a bit vector. All other bits
/// are ignored.
///
/// See also: [`from_bits_u64`]
///
/// [`from_bits_u64`]: BitVec::from_bits_u64
#[must_use]
pub fn from_bits(bits: &[u8]) -> Self {
let mut bv = Self::with_capacity(bits.len());
bits.iter().for_each(|&b| bv.append_bit(b.into()));
bv
}
/// Construct a bit vector from a set of bits given as distinct u64 values. The constructor will
/// take the least significant bit from each value and append it to a bit vector. All other bits
/// are ignored.
///
/// See also: [`from_bits`]
///
/// [`from_bits`]: BitVec::from_bits
#[must_use]
pub fn from_bits_u64(bits: &[u64]) -> Self {
let mut bv = Self::with_capacity(bits.len());
bits.iter().for_each(|&b| bv.append_bit(b));
bv
}
/// Append a bit to the bit vector. The bit is given as a boolean, where `true` means 1 and
/// `false` means 0.
pub fn append(&mut self, bit: bool) {
if self.len % WORD_SIZE == 0 {
self.data.push(0);
}
if bit {
self.data[self.len / WORD_SIZE] |= 1 << (self.len % WORD_SIZE);
} else {
self.data[self.len / WORD_SIZE] &= !(1 << (self.len % WORD_SIZE));
}
self.len += 1;
}
/// Drop the last n bits from the bit vector. If more bits are dropped than the bit vector
/// contains, the bit vector is cleared.
pub fn drop_last(&mut self, n: usize) {
if n > self.len {
self.data.clear();
self.len = 0;
return;
}
let new_limb_count = (self.len - n + WORD_SIZE - 1) / WORD_SIZE;
// cut off limbs that we no longer need
if new_limb_count < self.data.len() {
self.data.truncate(new_limb_count);
}
// update bit vector length
self.len -= n;
}
/// Append a bit from a u64. The least significant bit is appended to the bit vector.
/// All other bits are ignored.
pub fn append_bit(&mut self, bit: u64) {
if self.len % WORD_SIZE == 0 {
self.data.push(0);
}
if bit % 2 == 1 {
self.data[self.len / WORD_SIZE] |= 1 << (self.len % WORD_SIZE);
} else {
self.data[self.len / WORD_SIZE] &= !(1 << (self.len % WORD_SIZE));
}
self.len += 1;
}
/// Append a bit from a u32. The least significant bit is appended to the bit vector.
/// All other bits are ignored.
pub fn append_bit_u32(&mut self, bit: u32) {
self.append_bit(u64::from(bit));
}
/// Append a bit from a u8. The least significant bit is appended to the bit vector.
/// All other bits are ignored.
pub fn append_bit_u8(&mut self, bit: u8) {
self.append_bit(u64::from(bit));
}
/// Append a word to the bit vector. The bits are appended in little endian order (i.e. the first
/// bit of the word is appended first).
pub fn append_word(&mut self, word: u64) {
if self.len % WORD_SIZE == 0 {
self.data.push(word);
} else {
// zero out the unused bits before or-ing the new one, to ensure no garbage data remains
self.data[self.len / WORD_SIZE] &= !(u64::MAX << (self.len % WORD_SIZE));
self.data[self.len / WORD_SIZE] |= word << (self.len % WORD_SIZE);
self.data.push(word >> (WORD_SIZE - self.len % WORD_SIZE));
}
self.len += WORD_SIZE;
}
/// Append multiple bits to the bit vector. The bits are appended in little-endian order
/// (i.e. the least significant bit is appended first).
/// The number of bits to append is given by `len`. The bits are taken from the least
/// significant bits of `bits`. All other bits are ignored.
///
/// # Panics
/// Panics if `len` is larger than 64.
pub fn append_bits(&mut self, mut bits: u64, len: usize) {
assert!(len <= 64, "Cannot append more than 64 bits");
// zero out garbage data
if len < 64 {
bits &= (1 << len) - 1;
}
if self.len % WORD_SIZE == 0 {
self.data.push(bits);
} else {
// zero out the unused bits before or-ing the new one, to ensure no garbage data remains
self.data[self.len / WORD_SIZE] &= !(u64::MAX << (self.len % WORD_SIZE));
self.data[self.len / WORD_SIZE] |= bits << (self.len % WORD_SIZE);
if self.len % WORD_SIZE + len > WORD_SIZE {
self.data.push(bits >> (WORD_SIZE - self.len % WORD_SIZE));
}
}
self.len += len;
}
/// Return the length of the bit vector. The length is measured in bits.
#[must_use]
pub fn len(&self) -> usize {
self.len
}
/// Return whether the bit vector is empty (contains no bits).
#[must_use]
pub fn is_empty(&self) -> bool {
self.len == 0
}
/// Flip the bit at the given position.
///
/// # Panics
/// If the position is larger than the length of the vector, the function panics.
pub fn flip_bit(&mut self, pos: usize) {
assert!(pos < self.len, "Index out of bounds");
self.flip_bit_unchecked(pos);
}
/// Flip the bit at the given position.
///
/// # Panics
/// If the position is larger than the length of the
/// vector, the function will either modify unused memory or panic.
/// This will not corrupt memory.
pub fn flip_bit_unchecked(&mut self, pos: usize) {
self.data[pos / WORD_SIZE] ^= 1 << (pos % WORD_SIZE);
}
/// Return the bit at the given position.
/// The bit takes the least significant bit of the returned u64 word.
/// If the position is larger than the length of the vector, None is returned.
#[must_use]
pub fn get(&self, pos: usize) -> Option<u64> {
if pos >= self.len {
None
} else {
Some(self.get_unchecked(pos))
}
}
/// Return the bit at the given position.
/// The bit takes the least significant bit of the returned u64 word.
///
/// # Panics
/// If the position is larger than the length of the vector,
/// the function will either return unpredictable data, or panic.
/// Use [`get`] to properly handle this case with an `Option`.
///
/// [`get`]: BitVec::get
#[must_use]
pub fn get_unchecked(&self, pos: usize) -> u64 {
(self.data[pos / WORD_SIZE] >> (pos % WORD_SIZE)) & 1
}
/// Set the bit at the given position.
/// The bit is given as a u64 value of which only the least significant bit is used.
///
/// # Errors
/// If the position is out of range, the function will return `Err` with an error message,
/// otherwise it will return an empty `Ok`.
pub fn set(&mut self, pos: usize, value: u64) -> Result<(), &str> {
if pos >= self.len {
Err("out of range")
} else {
self.set_unchecked(pos, value);
Ok(())
}
}
/// Set the bit at the given position.
/// The bit is given as a u64 value of which only the least significant bit is used.
///
/// # Panics
/// If the position is larger than the length of the vector,
/// the function will either do nothing, or panic.
/// Use [`set`] to properly handle this case with a `Result`.
///
/// [`set`]: BitVec::set
pub fn set_unchecked(&mut self, pos: usize, value: u64) {
self.data[pos / WORD_SIZE] = (self.data[pos / WORD_SIZE] & !(0x1 << (pos % WORD_SIZE)))
| ((value & 0x1) << (pos % WORD_SIZE));
}
/// Return whether the bit at the given position is set.
/// If the position is larger than the length of the vector, None is returned.
#[must_use]
pub fn is_bit_set(&self, pos: usize) -> Option<bool> {
if pos >= self.len {
None
} else {
Some(self.is_bit_set_unchecked(pos))
}
}
/// Return whether the bit at the given position is set.
///
/// # Panics
/// If the position is larger than the length of the vector,
/// the function will either return unpredictable data, or panic.
/// Use [`is_bit_set`] to properly handle this case with an `Option`.
///
/// [`is_bit_set`]: BitVec::is_bit_set
#[must_use]
pub fn is_bit_set_unchecked(&self, pos: usize) -> bool {
self.get_unchecked(pos) != 0
}
/// Return multiple bits at the given position. The number of bits to return is given by `len`.
/// At most 64 bits can be returned.
/// If the position at the end of the query is larger than the length of the vector,
/// None is returned (even if the query partially overlaps with the vector).
/// If the length of the query is larger than 64, None is returned.
#[must_use]
pub fn get_bits(&self, pos: usize, len: usize) -> Option<u64> {
if len > WORD_SIZE || len == 0 {
return None;
}
if pos + len > self.len {
None
} else {
Some(self.get_bits_unchecked(pos, len))
}
}
/// Return multiple bits at the given position. The number of bits to return is given by `len`.
/// At most 64 bits can be returned.
///
/// This function is always inlined, because it gains a lot from loop optimization and
/// can utilize the processor pre-fetcher better if it is.
///
/// # Errors
/// If the length of the query is larger than 64, unpredictable data will be returned.
/// Use [`get_bits`] to avoid this.
///
/// # Panics
/// If the position or interval is larger than the length of the vector,
/// the function will either return any valid results padded with unpredictable
/// data or panic.
///
/// [`get_bits`]: BitVec::get_bits
#[must_use]
#[allow(clippy::inline_always)]
#[allow(clippy::comparison_chain)] // rust-clippy #5354
#[inline(always)] // inline to gain loop optimization and pipeline advantages for elias fano
pub fn get_bits_unchecked(&self, pos: usize, len: usize) -> u64 {
debug_assert!(len <= WORD_SIZE);
let partial_word = self.data[pos / WORD_SIZE] >> (pos % WORD_SIZE);
if pos % WORD_SIZE + len == WORD_SIZE {
partial_word
} else if pos % WORD_SIZE + len < WORD_SIZE {
partial_word & ((1 << (len % WORD_SIZE)) - 1)
} else {
(partial_word | (self.data[pos / WORD_SIZE + 1] << (WORD_SIZE - pos % WORD_SIZE)))
& ((1 << (len % WORD_SIZE)) - 1)
}
}
/// Return the number of ones in the bit vector. Since the bit vector doesn't store additional
/// metadata, this value is calculated. Use [`RsVec`] for constant-time rank operations.
///
/// [`RsVec`]: crate::RsVec
#[must_use]
#[allow(clippy::missing_panics_doc)] // can't panic because of manual bounds check
pub fn count_ones(&self) -> u64 {
let mut ones: u64 = self.data[0..self.len / WORD_SIZE]
.iter()
.map(|limb| <u32 as Into<u64>>::into(limb.count_ones()))
.sum();
if self.len % WORD_SIZE > 0 {
ones += <u32 as Into<u64>>::into(
(self.data.last().unwrap() & ((1 << (self.len % WORD_SIZE)) - 1)).count_ones(),
);
}
ones
}
/// Return the number of zeros in the bit vector. Since the bit vector doesn't store additional
/// metadata, this value is calculated. Use [`RsVec`] for constant-time rank operations.
/// This method calls [`count_ones`].
///
/// [`RsVec`]: crate::RsVec
/// [`count_ones`]: BitVec::count_ones
#[must_use]
pub fn count_zeros(&self) -> u64 {
self.len as u64 - self.count_ones()
}
/// Mask this bit vector with another bitvector using bitwise or. The mask is applied lazily
/// whenever an operation on the resulting vector is performed.
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
#[inline]
pub fn mask_or<'s, 'b>(&'s self, mask: &'b BitVec) -> Result<BitMask<'s, 'b>, String> {
MaskedBitVec::new(self, mask, |a, b| a | b)
}
/// Mask this bit vector with another bitvector using bitwise or.
/// The mask is applied immediately, unlike in [`mask_or`].
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
///
/// [`mask_or`]: BitVec::mask_or
pub fn apply_mask_or(&mut self, mask: &BitVec) -> Result<(), String> {
if self.len != mask.len {
return Err(String::from(
"mask cannot have different length than vector",
));
}
for i in 0..self.data.len() {
self.data[i] |= mask.data[i];
}
Ok(())
}
/// Mask this bit vector with another bitvector using bitwise and. The mask is applied lazily
/// whenever an operation on the resulting vector is performed.
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
#[inline]
pub fn mask_and<'s, 'b>(&'s self, mask: &'b BitVec) -> Result<BitMask<'s, 'b>, String> {
MaskedBitVec::new(self, mask, |a, b| a & b)
}
/// Mask this bit vector with another bitvector using bitwise and.
/// The mask is applied immediately, unlike in [`mask_and`].
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
///
/// [`mask_and`]: BitVec::mask_and
pub fn apply_mask_and(&mut self, mask: &BitVec) -> Result<(), String> {
if self.len != mask.len {
return Err(String::from(
"mask cannot have different length than vector",
));
}
for i in 0..self.data.len() {
self.data[i] &= mask.data[i];
}
Ok(())
}
/// Mask this bit vector with another bitvector using bitwise xor. The mask is applied lazily
/// whenever an operation on the resulting vector is performed.
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
#[inline]
pub fn mask_xor<'s, 'b>(&'s self, mask: &'b BitVec) -> Result<BitMask<'s, 'b>, String> {
MaskedBitVec::new(self, mask, |a, b| a ^ b)
}
/// Mask this bit vector with another bitvector using bitwise xor.
/// The mask is applied immediately, unlike in [`mask_xor`].
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
///
/// [`mask_xor`]: BitVec::mask_xor
pub fn apply_mask_xor(&mut self, mask: &BitVec) -> Result<(), String> {
if self.len != mask.len {
return Err(String::from(
"mask cannot have different length than vector",
));
}
for i in 0..self.data.len() {
self.data[i] ^= mask.data[i];
}
Ok(())
}
/// Mask this bit vector with another bitvector using a custom masking operation. The mask is
/// applied lazily whenever an operation on the resulting vector is performed.
///
/// The masking operation takes two 64 bit values which contain blocks of 64 bits each.
/// The last block of a bit vector might contain fewer bits, and will be padded with
/// unpredictable data. Implementations may choose to modify those padding bits without
/// repercussions. Implementations shouldn't use operations like bit shift, because the bit order
/// within the vector is unspecified.
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
#[inline]
pub fn mask_custom<'s, 'b, F>(
&'s self,
mask: &'b BitVec,
mask_op: F,
) -> Result<MaskedBitVec<'s, 'b, F>, String>
where
F: Fn(u64, u64) -> u64,
{
MaskedBitVec::new(self, mask, mask_op)
}
/// Mask this bit vector with another bitvector using a custom masking operation.
/// The mask is applied immediately, unlike in [`mask_custom`].
///
/// The masking operation takes two 64 bit values which contain blocks of 64 bits each.
/// The last block of a bit vector might contain fewer bits, and will be padded with
/// unpredictable data. Implementations may choose to modify those padding bits without
/// repercussions. Implementations shouldn't use operations like bit shift, because the bit order
/// within the vector is unspecified.
///
/// # Errors
/// Returns an error if the length of the vector doesn't match the mask length.
///
/// [`mask_custom`]: BitVec::mask_custom
#[inline]
pub fn apply_mask_custom(
&mut self,
mask: &BitVec,
mask_op: fn(u64, u64) -> u64,
) -> Result<(), String> {
if self.len != mask.len {
return Err(String::from(
"mask cannot have different length than vector",
));
}
for i in 0..self.data.len() {
self.data[i] = mask_op(self.data[i], mask.data[i]);
}
Ok(())
}
/// Returns the number of bytes on the heap for this vector. Does not include allocated memory
/// that isn't used.
#[must_use]
pub fn heap_size(&self) -> usize {
self.data.len() * size_of::<u64>()
}
}
impl_iterator! { BitVec, BitVecIter, BitVecRefIter }
#[cfg(test)]
mod tests;