use crate::types::UnsignedLike;
const BIT_MASKS: [u8; 8] = [
0x80,
0x40,
0x20,
0x10,
0x08,
0x04,
0x02,
0x01,
];
pub fn bit_from_byte(byte: u8, j: usize) -> bool {
(byte & BIT_MASKS[j]) > 0
}
pub fn byte_to_bits(byte: u8) -> [bool; 8] {
let mut res: [bool; 8];
unsafe {
res = std::mem::MaybeUninit::uninit().assume_init();
}
for (j, entry) in res.iter_mut().enumerate() {
*entry = bit_from_byte(byte, j)
}
res
}
pub fn bytes_to_bits(bytes: Vec<u8>) -> Vec<bool> {
let mut res = Vec::with_capacity(8 * bytes.len());
for b in &bytes {
res.extend(&byte_to_bits(*b));
}
res
}
pub fn bits_to_bytes(bits: Vec<bool>) -> Vec<u8> {
let mut res = Vec::new();
let mut i = 0;
while i < bits.len() {
let mut byte = 0_u8;
for _ in 0..8 {
byte <<= 1;
if i < bits.len() {
if bits[i] {
byte |= 1;
}
i += 1;
}
}
res.push(byte);
}
res
}
pub fn bits_to_usize_truncated(bits: &[bool], max_depth: u32) -> usize {
if max_depth < 1 {
return 0;
}
let pow = 1_usize << (max_depth - 1);
let mut res = 0;
for (i, bit) in bits.iter().enumerate() {
if *bit {
res |= pow >> i;
}
}
res
}
pub fn usize_to_varint_bits(mut x: usize, jumpstart: usize) -> Vec<bool> {
let mut res = Vec::with_capacity(jumpstart + 5);
res.extend(usize_to_bits(x, jumpstart as u32));
x >>= jumpstart;
while x > 0 {
res.push(true);
res.push(x & 1 > 0);
x >>= 1;
}
res.push(false);
res
}
pub fn usize_to_bits(x: usize, n_bits: u32) -> Vec<bool> {
diff_to_bits(x as u64, n_bits)
}
pub fn diff_to_bits<Diff: UnsignedLike>(x: Diff, n_bits: u32) -> Vec<bool> {
let mut res = Vec::with_capacity(n_bits as usize);
extend_with_diff_bits(x, n_bits, &mut res);
res
}
pub fn extend_with_diff_bits<Diff: UnsignedLike>(x: Diff, n_bits: u32, v: &mut Vec<bool>) {
for i in 1..n_bits + 1 {
let shift = n_bits - i;
v.push(x & (Diff::ONE << shift) > Diff::ZERO);
}
}
pub fn bits_to_string(bits: &[bool]) -> String {
return bits
.iter()
.map(|b| if *b {"1"} else {"0"})
.collect::<Vec<&str>>()
.join("");
}
pub fn avg_base2_bits<Diff: UnsignedLike>(upper_lower_diff: Diff) -> f64 {
let n = upper_lower_diff.to_f64() + 1.0;
let k = n.log2().floor();
let two_to_k = (2.0_f64).powf(k);
let overshoot = n - two_to_k;
k + (2.0 * overshoot) / n
}
pub fn depth_bits(weight: u64, total_weight: usize) -> f64 {
-(weight as f64 / total_weight as f64).log2()
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_bits_to_string() {
assert_eq!(bits_to_string(&[]), "".to_string());
assert_eq!(bits_to_string(&[true, false, false]), "100".to_string());
}
#[test]
fn test_depth_bits() {
assert_eq!(depth_bits(2, 2), 0.0);
assert_eq!(depth_bits(2, 4), 1.0);
assert_eq!(depth_bits(2, 8), 2.0);
assert_eq!(depth_bits(4, 8), 1.0);
}
#[test]
fn test_avg_base2_bits() {
assert_eq!(avg_base2_bits(0_u32), 0.0);
assert_eq!(avg_base2_bits(1_u32), 1.0);
assert!((avg_base2_bits(2_u32) - 5.0 / 3.0).abs() < 1E-8);
assert_eq!(avg_base2_bits(3_u32), 2.0);
assert!((avg_base2_bits(4_u64) - 12.0 / 5.0).abs() < 1E-8);
}
#[test]
fn test_diff_to_bits() {
assert_eq!(diff_to_bits(7_u64, 0), vec![]);
assert_eq!(diff_to_bits(7_u64, 4), vec![false, true, true, true]);
assert_eq!(diff_to_bits(7_u32, 4), vec![false, true, true, true]);
}
#[test]
fn test_usize_to_bits() {
assert_eq!(usize_to_bits(7, 5), vec![false, false, true, true, true]);
}
#[test]
fn test_bits_to_usize_truncated() {
assert_eq!(bits_to_usize_truncated(&[], 0), 0);
assert_eq!(bits_to_usize_truncated(&[true], 4), 8);
assert_eq!(bits_to_usize_truncated(&[true], 3), 4);
assert_eq!(bits_to_usize_truncated(&[true, false, true], 4), 10);
assert_eq!(bits_to_usize_truncated(&[true, false, true, true], 4), 11);
}
#[test]
fn test_bits_to_bytes_to_bits() {
let bits_28 = vec![false, false, false, true, true, true, false, false];
let byte_28 = bits_to_bytes(bits_28.clone());
assert_eq!(
byte_28,
vec![28]
);
assert_eq!(
bytes_to_bits(byte_28),
bits_28
);
let bits_28_128 = vec![false, false, false, true, true, true, false, false, true];
let byte_28_128 = bits_to_bytes(bits_28_128.clone());
assert_eq!(
byte_28_128,
vec![28, 128]
);
assert_eq!(
bytes_to_bits(byte_28_128)[0..9],
bits_28_128[..],
)
}
}