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use super::{ceiling_div, n_lowest_bits};
use dyn_size_of::GetSize;
pub trait BitArrayWithRank {
fn build(content: Box<[u64]>) -> (Self, u64) where Self: Sized;
fn rank(&self, index: usize) -> u64;
}
#[inline] fn count_bits_in(content: &[u64]) -> u64 {
content.iter().map(|v| v.count_ones() as u64).sum()
}
#[derive(Clone)]
pub struct ArrayWithRank101111 {
pub content: Box<[u64]>,
pub ranks: Box<[u64]>
}
impl GetSize for ArrayWithRank101111 {
fn size_bytes_dyn(&self) -> usize {
self.content.size_bytes_dyn() + self.ranks.size_bytes_dyn()
}
const USES_DYN_MEM: bool = true;
}
impl BitArrayWithRank for ArrayWithRank101111 {
fn build(content: Box<[u64]>) -> (Self, u64) {
let mut result = Vec::with_capacity(ceiling_div(content.len(), 32));
let mut current_rank: u64 = 0;
for chunk in content.chunks(32) {
let mut to_append = current_rank;
let mut vals = chunk.chunks(8).map(|c| count_bits_in(c));
if let Some(v) = vals.next() {
let mut chunk_sum = v;
to_append |= chunk_sum << 32;
if let Some(v) = vals.next() {
chunk_sum += v;
to_append |= chunk_sum << (32+10);
if let Some(v) = vals.next() {
chunk_sum += v;
to_append |= chunk_sum << (32+11+10);
if let Some(v) = vals.next() { chunk_sum += v; }
}
}
current_rank += chunk_sum;
}
result.push(to_append);
}
(Self{content, ranks: result.into_boxed_slice()}, current_rank)
}
fn rank(&self, index: usize) -> u64 {
let block = index / 512;
let block_content = self.ranks[index/2048];
let mut r = block_content & 0xFFFFFFFFu64;
match block % 4 {
1 => r += (block_content >> 32) & 1023,
2 => r += (block_content>>(10+32)) & 2047,
3 => r += block_content>>(10+11+32),
_ => {}
}
let word_idx = index / 64;
r += count_bits_in(&self.content[block * 8..word_idx]);
r + (self.content[word_idx] & n_lowest_bits(index as u8 % 64)).count_ones() as u64
}
}
#[derive(Clone)]
pub struct ArrayWithRankSimple {
pub content: Box<[u64]>,
pub ranks: Box<[u32]>,
}
impl GetSize for ArrayWithRankSimple {
fn size_bytes_dyn(&self) -> usize {
self.content.size_bytes_dyn() + self.ranks.size_bytes_dyn()
}
const USES_DYN_MEM: bool = true;
}
impl ArrayWithRankSimple {
pub fn build(content: Box<[u64]>) -> (Self, u32) {
let mut result = Vec::with_capacity(ceiling_div(content.len(), 8usize));
let mut current_rank: u32 = 0;
for seg_nr in 0..content.len() {
if seg_nr % 8 == 0 { result.push(current_rank); }
current_rank += content[seg_nr].count_ones();
}
(Self{content, ranks: result.into_boxed_slice()}, current_rank)
}
pub fn rank(&self, index: usize) -> u32 {
let word_idx = index / 64;
let word_offset = index as u8 % 64;
let block = index / 512;
let mut r = self.ranks[block];
for w in block * (512 / 64)..word_idx {
r += self.content[w].count_ones();
}
r + (self.content[word_idx] & n_lowest_bits(word_offset)).count_ones() as u32
}
}
impl BitArrayWithRank for ArrayWithRankSimple {
#[inline(always)] fn build(content: Box<[u64]>) -> (Self, u64) {
let (r, s) = Self::build(content);
(r, s as u64)
}
#[inline(always)] fn rank(&self, index: usize) -> u64 {
Self::rank(self, index) as u64
}
}
#[cfg(test)]
mod tests {
use super::*;
fn test_array_with_rank<ArrayWithRank: BitArrayWithRank>() {
let (a, c) = ArrayWithRank::build(vec![0b1101, 0b110].into_boxed_slice());
assert_eq!(c, 5);
assert_eq!(a.rank(0), 0);
assert_eq!(a.rank(1), 1);
assert_eq!(a.rank(2), 1);
assert_eq!(a.rank(3), 2);
assert_eq!(a.rank(4), 3);
assert_eq!(a.rank(8), 3);
assert_eq!(a.rank(64), 3);
assert_eq!(a.rank(65), 3);
assert_eq!(a.rank(66), 4);
assert_eq!(a.rank(67), 5);
assert_eq!(a.rank(70), 5);
}
#[test]
fn array_with_rank_101111() {
test_array_with_rank::<ArrayWithRank101111>();
}
#[test]
fn array_with_rank_simple() {
test_array_with_rank::<ArrayWithRankSimple>();
}
fn test_big_array_with_rank<ArrayWithRank: BitArrayWithRank>() {
let (a, c) = ArrayWithRank::build(vec![0b1101; 60].into_boxed_slice());
assert_eq!(c, 60*3);
assert_eq!(a.rank(0), 0);
assert_eq!(a.rank(1), 1);
assert_eq!(a.rank(2), 1);
assert_eq!(a.rank(3), 2);
assert_eq!(a.rank(4), 3);
assert_eq!(a.rank(8), 3);
assert_eq!(a.rank(64), 3);
assert_eq!(a.rank(65), 4);
assert_eq!(a.rank(66), 4);
assert_eq!(a.rank(67), 5);
assert_eq!(a.rank(68), 6);
assert_eq!(a.rank(69), 6);
assert_eq!(a.rank(128), 6);
assert_eq!(a.rank(129), 7);
assert_eq!(a.rank(512), 3*8);
assert_eq!(a.rank(513), 3*8+1);
assert_eq!(a.rank(514), 3*8+1);
assert_eq!(a.rank(515), 3*8+2);
assert_eq!(a.rank(1024), 6*8);
assert_eq!(a.rank(2*1024), 2*6*8);
assert_eq!(a.rank(2*1024+1), 2*6*8+1);
assert_eq!(a.rank(2*1024+2), 2*6*8+1);
assert_eq!(a.rank(2*1024+3), 2*6*8+2);
}
#[test]
fn big_array_with_rank_101111() {
test_big_array_with_rank::<ArrayWithRank101111>();
}
#[test]
fn big_array_with_rank_simple() {
test_big_array_with_rank::<ArrayWithRankSimple>();
}
fn test_content<ArrayWithRank: BitArrayWithRank>() {
let (a, c) = ArrayWithRank::build(vec![u64::MAX; 35].into_boxed_slice());
assert_eq!(c, 35*64);
for i in 0..35*64 {
assert_eq!(i, a.rank(i) as usize);
}
}
#[test]
fn content_101111() {
test_content::<ArrayWithRank101111>();
}
#[test]
fn content_simple() {
test_content::<ArrayWithRankSimple>();
}
}