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//! # hibitset
//!
//! Provides hierarchical bit sets,
//! which allow very fast iteration
//! on sparse data structures.
//!
//! ## What it does
//!
//! A `BitSet` may be considered analogous to a `HashSet<u32>`. It
//! tracks whether or not certain indices exist within it. Its
//! implementation is very different, however.
//!
//! At its root, a `BitSet` relies on an array of bits, which express
//! whether or not indices exist. This provides the functionality to
//! `add( )` and `remove( )` indices.
//!
//! This array is referred to as Layer 0. Above it, there is another
//! layer: Layer 1. Layer 1 acts as a 'summary' of Layer 0. It contains
//! one bit for each `usize` bits of Layer 0. If any bit in that `usize`
//! of Layer 0 is set, the bit in Layer 1 will be set.
//!
//! There are, in total, four layers. Layers 1 through 3 are each a
//! summary of the layer immediately below them.
//!
//! ```no_compile
//! Example, with an imaginary 4-bit usize:
//!
//! Layer 3: 1------------------------------------------------ ...
//! Layer 2: 1------------------ 1------------------ 0-------- ...
//! Layer 1: 1--- 0--- 0--- 0--- 1--- 0--- 1--- 0--- 0--- 0--- ...
//! Layer 0: 0010 0000 0000 0000 0011 0000 1111 0000 0000 0000 ...
//! ```
//!
//! This method makes operations that operate over the whole `BitSet`,
//! such as unions, intersections, and iteration, very fast (because if
//! any bit in any summary layer is zero, an entire range of bits
//! below it can be skipped.)
//!
//! However, there is a maximum on index size. The top layer (Layer 3)
//! of the BitSet is a single `usize` long. This makes the maximum index
//! `usize**4` (`1,048,576` for a 32-bit `usize`, `16,777,216` for a
//! 64-bit `usize`). Attempting to add indices larger than that will cause
//! the `BitSet` to panic.
//!
#![deny(missing_docs)]
#[cfg(test)]
extern crate rand;
#[cfg(feature = "parallel")]
extern crate rayon;
mod atomic;
mod iter;
mod ops;
mod util;
pub use atomic::AtomicBitSet;
pub use iter::{BitIter, DrainBitIter};
#[cfg(feature = "parallel")]
pub use iter::{BitParIter, BitProducer};
pub use ops::{BitSetAll, BitSetAnd, BitSetNot, BitSetOr, BitSetXor};
use util::*;
/// A `BitSet` is a simple set designed to track which indices are placed
/// into it.
///
/// Note, a `BitSet` is limited by design to only `usize**4` indices.
/// Adding beyond this limit will cause the `BitSet` to panic.
#[derive(Clone, Debug, Default)]
pub struct BitSet {
layer3: usize,
layer2: Vec<usize>,
layer1: Vec<usize>,
layer0: Vec<usize>,
}
impl BitSet {
/// Creates an empty `BitSet`.
pub fn new() -> BitSet {
Default::default()
}
#[inline]
fn valid_range(max: Index) {
if (MAX_EID as u32) < max {
panic!("Expected index to be less then {}, found {}", MAX_EID, max);
}
}
/// Creates an empty `BitSet`, preallocated for up to `max` indices.
pub fn with_capacity(max: Index) -> BitSet {
Self::valid_range(max);
let mut value = BitSet::new();
value.extend(max);
value
}
#[inline(never)]
fn extend(&mut self, id: Index) {
Self::valid_range(id);
let (p0, p1, p2) = offsets(id);
Self::fill_up(&mut self.layer2, p2);
Self::fill_up(&mut self.layer1, p1);
Self::fill_up(&mut self.layer0, p0);
}
fn fill_up(vec: &mut Vec<usize>, upper_index: usize) {
if vec.len() <= upper_index {
vec.resize(upper_index + 1, 0);
}
}
/// This is used to set the levels in the hierarchy
/// when the lowest layer was set from 0.
#[inline(never)]
fn add_slow(&mut self, id: Index) {
let (_, p1, p2) = offsets(id);
self.layer1[p1] |= id.mask(SHIFT1);
self.layer2[p2] |= id.mask(SHIFT2);
self.layer3 |= id.mask(SHIFT3);
}
/// Adds `id` to the `BitSet`. Returns `true` if the value was
/// already in the set.
#[inline]
pub fn add(&mut self, id: Index) -> bool {
let (p0, mask) = (id.offset(SHIFT1), id.mask(SHIFT0));
if p0 >= self.layer0.len() {
self.extend(id);
}
if self.layer0[p0] & mask != 0 {
return true;
}
// we need to set the bit on every layer to indicate
// that the value can be found here.
let old = self.layer0[p0];
self.layer0[p0] |= mask;
if old == 0 {
self.add_slow(id);
}
false
}
fn layer_mut(&mut self, level: usize, idx: usize) -> &mut usize {
match level {
0 => {
Self::fill_up(&mut self.layer0, idx);
&mut self.layer0[idx]
}
1 => {
Self::fill_up(&mut self.layer1, idx);
&mut self.layer1[idx]
}
2 => {
Self::fill_up(&mut self.layer2, idx);
&mut self.layer2[idx]
}
3 => &mut self.layer3,
_ => panic!("Invalid layer: {}", level),
}
}
/// Removes `id` from the set, returns `true` if the value
/// was removed, and `false` if the value was not set
/// to begin with.
#[inline]
pub fn remove(&mut self, id: Index) -> bool {
let (p0, p1, p2) = offsets(id);
if p0 >= self.layer0.len() {
return false;
}
if self.layer0[p0] & id.mask(SHIFT0) == 0 {
return false;
}
// if the bitmask was set we need to clear
// its bit from layer0 to 3. the layers abover only
// should be cleared if the bit cleared was the last bit
// in its set
self.layer0[p0] &= !id.mask(SHIFT0);
if self.layer0[p0] != 0 {
return true;
}
self.layer1[p1] &= !id.mask(SHIFT1);
if self.layer1[p1] != 0 {
return true;
}
self.layer2[p2] &= !id.mask(SHIFT2);
if self.layer2[p2] != 0 {
return true;
}
self.layer3 &= !id.mask(SHIFT3);
return true;
}
/// Returns `true` if `id` is in the set.
#[inline]
pub fn contains(&self, id: Index) -> bool {
let p0 = id.offset(SHIFT1);
p0 < self.layer0.len() && (self.layer0[p0] & id.mask(SHIFT0)) != 0
}
/// Returns `true` if all ids in `other` are contained in this set
#[inline]
pub fn contains_set(&self, other: &BitSet) -> bool {
for id in other.iter() {
if !self.contains(id) {
return false;
}
}
true
}
/// Completely wipes out the bit set.
pub fn clear(&mut self) {
self.layer0.clear();
self.layer1.clear();
self.layer2.clear();
self.layer3 = 0;
}
/// How many bits are in a `usize`.
///
/// This value can be trivially determined. It is provided here as a constant for clarity.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
/// assert_eq!(BitSet::BITS_PER_USIZE, std::mem::size_of::<usize>()*8);
/// ```
#[cfg(target_pointer_width = "32")]
pub const BITS_PER_USIZE: usize = 32;
/// How many bits are in a `usize`.
///
/// This value can be trivially determined. It is provided here as a constant for clarity.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
/// assert_eq!(BitSet::BITS_PER_USIZE, std::mem::size_of::<usize>()*8);
/// ```
#[cfg(target_pointer_width = "64")]
pub const BITS_PER_USIZE: usize = 64;
/// Returns the bottom layer of the bitset as a slice. Each bit in this slice refers to a single
/// `Index`.
///
/// The slice's length will be at least the length needed to reflect all the `1`s in the bitset,
/// but is not otherwise guaranteed. Consider it to be an implementation detail.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
///
/// let index: u32 = 12345;
///
/// let mut bitset = BitSet::new();
/// bitset.add(index);
///
/// // layer 0 is 1:1 with Indexes, so we expect that bit in the slice to be set
/// let slice = bitset.layer0_as_slice();
/// let bit_index = index as usize;
///
/// // map that bit index to a usize in the slice and a bit within that usize
/// let slice_index = bit_index / BitSet::BITS_PER_USIZE;
/// let bit_at_index = bit_index % BitSet::BITS_PER_USIZE;
///
/// assert_eq!(slice[slice_index], 1 << bit_at_index);
/// ```
pub fn layer0_as_slice(&self) -> &[usize] {
self.layer0.as_slice()
}
/// How many `Index`es are described by as single layer 1 bit, intended for use with
/// `BitSet::layer1_as_slice()`.
///
/// `BitSet`s are defined in terms of `usize`s summarizing `usize`s, so this value can be
/// trivially determined. It is provided here as a constant for clarity.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
/// assert_eq!(BitSet::LAYER1_GRANULARITY, BitSet::BITS_PER_USIZE);
/// ```
pub const LAYER1_GRANULARITY: usize = Self::BITS_PER_USIZE;
/// Returns the second layer of the bitset as a slice. Each bit in this slice summarizes a
/// corresponding `usize` from `layer0`. (If `usize` is 64 bits, bit 0 will be set if any
/// `Index`es 0-63 are set, bit 1 will be set if any `Index`es 64-127 are set, etc.)
/// `BitSet::LAYER1_GRANULARITY` reflects how many indexes are summarized per layer 1 bit.
///
/// The slice's length is not guaranteed, except that it will be at least the length needed to
/// reflect all the `1`s in the bitset.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
///
/// let index: u32 = 12345;
///
/// let mut bitset = BitSet::new();
/// bitset.add(index);
///
/// // layer 1 summarizes multiple indexes per bit, so divide appropriately
/// let slice = bitset.layer1_as_slice();
/// let bit_index = index as usize / BitSet::LAYER1_GRANULARITY;
///
/// // map that bit index to a usize in the slice and a bit within that usize
/// let slice_index = bit_index / BitSet::BITS_PER_USIZE;
/// let bit_at_index = bit_index % BitSet::BITS_PER_USIZE;
///
/// assert_eq!(slice[slice_index], 1 << bit_at_index);
/// ```
pub fn layer1_as_slice(&self) -> &[usize] {
self.layer1.as_slice()
}
/// How many `Index`es are described by as single layer 2 bit, intended for use with
/// `BitSet::layer2_as_slice()`.
///
/// `BitSet`s are defined in terms of `usize`s summarizing `usize`s, so this value can be
/// trivially determined. It is provided here as a constant for clarity.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
/// assert_eq!(BitSet::LAYER2_GRANULARITY, BitSet::LAYER1_GRANULARITY * BitSet::BITS_PER_USIZE);
/// ```
pub const LAYER2_GRANULARITY: usize = Self::LAYER1_GRANULARITY * Self::BITS_PER_USIZE;
/// Returns the third layer of the bitset as a slice. Each bit in this slice summarizes a
/// corresponding `usize` from `layer1`. If `usize` is 64 bits, bit 0 will be set if any
/// `Index`es 0-4095 are set, bit 1 will be set if any `Index`es 4096-8191 are set, etc.
///
/// The slice's length is not guaranteed, except that it will be at least the length needed to
/// reflect all the `1`s in the bitset.
///
/// # Example
///
/// ```
/// use hibitset::BitSet;
///
/// let index: u32 = 12345;
///
/// let mut bitset = BitSet::new();
/// bitset.add(index);
///
/// // layer 2 summarizes multiple indexes per bit, so divide appropriately
/// let slice = bitset.layer2_as_slice();
/// let bit_index = index as usize / BitSet::LAYER2_GRANULARITY;
///
/// // map that bit index to a usize in the slice and a bit within that usize
/// let slice_index = bit_index / BitSet::BITS_PER_USIZE;
/// let bit_at_index = bit_index % BitSet::BITS_PER_USIZE;
///
/// assert_eq!(slice[slice_index], 1 << bit_at_index);
/// ```
pub fn layer2_as_slice(&self) -> &[usize] {
self.layer2.as_slice()
}
}
/// A generic interface for [`BitSetLike`]-like types.
///
/// Every `BitSetLike` is hierarchical, meaning that there
/// are multiple levels that branch out in a tree like structure.
///
/// Layer0 each bit represents one Index of the set
/// Layer1 each bit represents one `usize` of Layer0, and will be
/// set only if the word below it is not zero.
/// Layer2 has the same arrangement but with Layer1, and Layer3 with Layer2.
///
/// This arrangement allows for rapid jumps across the key-space.
///
/// [`BitSetLike`]: ../trait.BitSetLike.html
pub trait BitSetLike {
/// Gets the `usize` corresponding to layer and index.
///
/// The `layer` should be in the range [0, 3]
fn get_from_layer(&self, layer: usize, idx: usize) -> usize {
match layer {
0 => self.layer0(idx),
1 => self.layer1(idx),
2 => self.layer2(idx),
3 => self.layer3(),
_ => panic!("Invalid layer: {}", layer),
}
}
/// Returns true if this `BitSetLike` contains nothing, and false otherwise.
fn is_empty(&self) -> bool {
self.layer3() == 0
}
/// Return a `usize` where each bit represents if any word in layer2
/// has been set.
fn layer3(&self) -> usize;
/// Return the `usize` from the array of usizes that indicates if any
/// bit has been set in layer1
fn layer2(&self, i: usize) -> usize;
/// Return the `usize` from the array of usizes that indicates if any
/// bit has been set in layer0
fn layer1(&self, i: usize) -> usize;
/// Return a `usize` that maps to the direct 1:1 association with
/// each index of the set
fn layer0(&self, i: usize) -> usize;
/// Allows checking if set bit is contained in the bit set.
fn contains(&self, i: Index) -> bool;
/// Create an iterator that will scan over the keyspace
fn iter(self) -> BitIter<Self>
where
Self: Sized,
{
let layer3 = self.layer3();
BitIter::new(self, [0, 0, 0, layer3], [0; LAYERS - 1])
}
/// Create a parallel iterator that will scan over the keyspace
#[cfg(feature = "parallel")]
fn par_iter(self) -> BitParIter<Self>
where
Self: Sized,
{
BitParIter::new(self)
}
}
/// A extension to the [`BitSetLike`] trait which allows draining it.
pub trait DrainableBitSet: BitSetLike {
/// Removes bit from the bit set.
///
/// Returns `true` if removal happened and `false` otherwise.
fn remove(&mut self, i: Index) -> bool;
/// Create a draining iterator that will scan over the keyspace and clears it while doing so.
fn drain<'a>(&'a mut self) -> DrainBitIter<'a, Self>
where
Self: Sized,
{
let layer3 = self.layer3();
DrainBitIter::new(self, [0, 0, 0, layer3], [0; LAYERS - 1])
}
}
impl<'a, T> BitSetLike for &'a T
where
T: BitSetLike + ?Sized,
{
#[inline]
fn layer3(&self) -> usize {
(*self).layer3()
}
#[inline]
fn layer2(&self, i: usize) -> usize {
(*self).layer2(i)
}
#[inline]
fn layer1(&self, i: usize) -> usize {
(*self).layer1(i)
}
#[inline]
fn layer0(&self, i: usize) -> usize {
(*self).layer0(i)
}
#[inline]
fn contains(&self, i: Index) -> bool {
(*self).contains(i)
}
}
impl<'a, T> BitSetLike for &'a mut T
where
T: BitSetLike + ?Sized,
{
#[inline]
fn layer3(&self) -> usize {
(**self).layer3()
}
#[inline]
fn layer2(&self, i: usize) -> usize {
(**self).layer2(i)
}
#[inline]
fn layer1(&self, i: usize) -> usize {
(**self).layer1(i)
}
#[inline]
fn layer0(&self, i: usize) -> usize {
(**self).layer0(i)
}
#[inline]
fn contains(&self, i: Index) -> bool {
(**self).contains(i)
}
}
impl<'a, T> DrainableBitSet for &'a mut T
where
T: DrainableBitSet,
{
#[inline]
fn remove(&mut self, i: Index) -> bool {
(**self).remove(i)
}
}
impl BitSetLike for BitSet {
#[inline]
fn layer3(&self) -> usize {
self.layer3
}
#[inline]
fn layer2(&self, i: usize) -> usize {
self.layer2.get(i).map(|&x| x).unwrap_or(0)
}
#[inline]
fn layer1(&self, i: usize) -> usize {
self.layer1.get(i).map(|&x| x).unwrap_or(0)
}
#[inline]
fn layer0(&self, i: usize) -> usize {
self.layer0.get(i).map(|&x| x).unwrap_or(0)
}
#[inline]
fn contains(&self, i: Index) -> bool {
self.contains(i)
}
}
impl DrainableBitSet for BitSet {
#[inline]
fn remove(&mut self, i: Index) -> bool {
self.remove(i)
}
}
impl PartialEq for BitSet {
#[inline]
fn eq(&self, rhv: &BitSet) -> bool {
if self.layer3 != rhv.layer3 {
return false;
}
if self.layer2.len() != rhv.layer2.len()
|| self.layer1.len() != rhv.layer1.len()
|| self.layer0.len() != rhv.layer0.len()
{
return false;
}
for i in 0..self.layer2.len() {
if self.layer2(i) != rhv.layer2(i) {
return false;
}
}
for i in 0..self.layer1.len() {
if self.layer1(i) != rhv.layer1(i) {
return false;
}
}
for i in 0..self.layer0.len() {
if self.layer0(i) != rhv.layer0(i) {
return false;
}
}
true
}
}
impl Eq for BitSet {}
#[cfg(test)]
mod tests {
use super::{BitSet, BitSetAnd, BitSetLike, BitSetNot};
#[test]
fn insert() {
let mut c = BitSet::new();
for i in 0..1_000 {
assert!(!c.add(i));
assert!(c.add(i));
}
for i in 0..1_000 {
assert!(c.contains(i));
}
}
#[test]
fn insert_100k() {
let mut c = BitSet::new();
for i in 0..100_000 {
assert!(!c.add(i));
assert!(c.add(i));
}
for i in 0..100_000 {
assert!(c.contains(i));
}
}
#[test]
fn remove() {
let mut c = BitSet::new();
for i in 0..1_000 {
assert!(!c.add(i));
}
for i in 0..1_000 {
assert!(c.contains(i));
assert!(c.remove(i));
assert!(!c.contains(i));
assert!(!c.remove(i));
}
}
#[test]
fn iter() {
let mut c = BitSet::new();
for i in 0..100_000 {
c.add(i);
}
let mut count = 0;
for (idx, i) in c.iter().enumerate() {
count += 1;
assert_eq!(idx, i as usize);
}
assert_eq!(count, 100_000);
}
#[test]
fn iter_odd_even() {
let mut odd = BitSet::new();
let mut even = BitSet::new();
for i in 0..100_000 {
if i % 2 == 1 {
odd.add(i);
} else {
even.add(i);
}
}
assert_eq!((&odd).iter().count(), 50_000);
assert_eq!((&even).iter().count(), 50_000);
assert_eq!(BitSetAnd(&odd, &even).iter().count(), 0);
}
#[test]
fn iter_random_add() {
use rand::prelude::*;
let mut set = BitSet::new();
let mut rng = thread_rng();
let limit = 1_048_576;
let mut added = 0;
for _ in 0..(limit / 10) {
let index = rng.gen_range(0, limit);
if !set.add(index) {
added += 1;
}
}
assert_eq!(set.iter().count(), added as usize);
}
#[test]
fn iter_clusters() {
let mut set = BitSet::new();
for x in 0..8 {
let x = (x * 3) << (::BITS * 2); // scale to the last slot
for y in 0..8 {
let y = (y * 3) << (::BITS);
for z in 0..8 {
let z = z * 2;
set.add(x + y + z);
}
}
}
assert_eq!(set.iter().count(), 8usize.pow(3));
}
#[test]
fn not() {
let mut c = BitSet::new();
for i in 0..10_000 {
if i % 2 == 1 {
c.add(i);
}
}
let d = BitSetNot(c);
for (idx, i) in d.iter().take(5_000).enumerate() {
assert_eq!(idx * 2, i as usize);
}
}
}
#[cfg(all(test, feature = "parallel"))]
mod test_parallel {
use super::{BitSet, BitSetAnd, BitSetLike};
use rayon::iter::ParallelIterator;
#[test]
fn par_iter_one() {
let step = 5000;
let tests = 1_048_576 / step;
for n in 0..tests {
let n = n * step;
let mut set = BitSet::new();
set.add(n);
assert_eq!(set.par_iter().count(), 1);
}
let mut set = BitSet::new();
set.add(1_048_576 - 1);
assert_eq!(set.par_iter().count(), 1);
}
#[test]
fn par_iter_random_add() {
use rand::prelude::*;
use std::collections::HashSet;
use std::sync::{Arc, Mutex};
let mut set = BitSet::new();
let mut check_set = HashSet::new();
let mut rng = thread_rng();
let limit = 1_048_576;
for _ in 0..(limit / 10) {
let index = rng.gen_range(0, limit);
set.add(index);
check_set.insert(index);
}
let check_set = Arc::new(Mutex::new(check_set));
let missing_set = Arc::new(Mutex::new(HashSet::new()));
set.par_iter().for_each(|n| {
let check_set = check_set.clone();
let missing_set = missing_set.clone();
let mut check = check_set.lock().unwrap();
if !check.remove(&n) {
let mut missing = missing_set.lock().unwrap();
missing.insert(n);
}
});
let check_set = check_set.lock().unwrap();
let missing_set = missing_set.lock().unwrap();
if !check_set.is_empty() && !missing_set.is_empty() {
panic!(
"There were values that didn't get iterated: {:?}
There were values that got iterated, but that shouldn't be: {:?}",
*check_set, *missing_set
);
}
if !check_set.is_empty() {
panic!(
"There were values that didn't get iterated: {:?}",
*check_set
);
}
if !missing_set.is_empty() {
panic!(
"There were values that got iterated, but that shouldn't be: {:?}",
*missing_set
);
}
}
#[test]
fn par_iter_odd_even() {
let mut odd = BitSet::new();
let mut even = BitSet::new();
for i in 0..100_000 {
if i % 2 == 1 {
odd.add(i);
} else {
even.add(i);
}
}
assert_eq!((&odd).par_iter().count(), 50_000);
assert_eq!((&even).par_iter().count(), 50_000);
assert_eq!(BitSetAnd(&odd, &even).par_iter().count(), 0);
}
#[test]
fn par_iter_clusters() {
use std::collections::HashSet;
use std::sync::{Arc, Mutex};
let mut set = BitSet::new();
let mut check_set = HashSet::new();
for x in 0..8 {
let x = (x * 3) << (::BITS * 2); // scale to the last slot
for y in 0..8 {
let y = (y * 3) << (::BITS);
for z in 0..8 {
let z = z * 2;
let index = x + y + z;
set.add(index);
check_set.insert(index);
}
}
}
let check_set = Arc::new(Mutex::new(check_set));
let missing_set = Arc::new(Mutex::new(HashSet::new()));
set.par_iter().for_each(|n| {
let check_set = check_set.clone();
let missing_set = missing_set.clone();
let mut check = check_set.lock().unwrap();
if !check.remove(&n) {
let mut missing = missing_set.lock().unwrap();
missing.insert(n);
}
});
let check_set = check_set.lock().unwrap();
let missing_set = missing_set.lock().unwrap();
if !check_set.is_empty() && !missing_set.is_empty() {
panic!(
"There were values that didn't get iterated: {:?}
There were values that got iterated, but that shouldn't be: {:?}",
*check_set, *missing_set
);
}
if !check_set.is_empty() {
panic!(
"There were values that didn't get iterated: {:?}",
*check_set
);
}
if !missing_set.is_empty() {
panic!(
"There were values that got iterated, but that shouldn't be: {:?}",
*missing_set
);
}
}
}