use crate::neon::store_d::NeonStoreD;
use crate::neon::util::NeonStoreF;
use crate::util::{DctConstants, DctSample, try_vec};
use crate::{PxdctError, PxdctExecutor};
use num_traits::AsPrimitive;
use std::sync::Arc;
pub(crate) trait NeonDct2Modulation: Sized {
fn modulate_input(
a_buffer: &mut [Self],
b_buffer: &mut [Self],
left: &[Self],
right: &[Self],
twiddles: &[Self],
);
}
impl NeonDct2Modulation for f32 {
fn modulate_input(
a_buffer: &mut [Self],
b_buffer: &mut [Self],
left: &[Self],
right: &[Self],
twiddles: &[Self],
) {
let mut j = 0usize;
let total_length = a_buffer.len();
while j + 16 <= total_length {
unsafe {
let a0 = NeonStoreF::load(left.get_unchecked(j..));
let a1 = NeonStoreF::load(left.get_unchecked(j + 4..));
let a2 = NeonStoreF::load(left.get_unchecked(j + 8..));
let a3 = NeonStoreF::load(left.get_unchecked(j + 12..));
let mut b0 = NeonStoreF::load(right.get_unchecked(total_length - j - 4..));
let mut b1 = NeonStoreF::load(right.get_unchecked(total_length - j - 8..));
let mut b2 = NeonStoreF::load(right.get_unchecked(total_length - j - 12..));
let mut b3 = NeonStoreF::load(right.get_unchecked(total_length - j - 16..));
let tw0 = NeonStoreF::load(twiddles.get_unchecked(j..));
let tw1 = NeonStoreF::load(twiddles.get_unchecked(j + 4..));
let tw2 = NeonStoreF::load(twiddles.get_unchecked(j + 8..));
let tw3 = NeonStoreF::load(twiddles.get_unchecked(j + 12..));
b0 = b0.reverse();
b1 = b1.reverse();
b2 = b2.reverse();
b3 = b3.reverse();
let s0 = a0 + b0;
let s1 = a1 + b1;
let s2 = a2 + b2;
let s3 = a3 + b3;
let d0 = (a0 - b0) * tw0;
let d1 = (a1 - b1) * tw1;
let d2 = (a2 - b2) * tw2;
let d3 = (a3 - b3) * tw3;
s0.write(a_buffer.get_unchecked_mut(j..));
s1.write(a_buffer.get_unchecked_mut(j + 4..));
s2.write(a_buffer.get_unchecked_mut(j + 8..));
s3.write(a_buffer.get_unchecked_mut(j + 12..));
d0.write(b_buffer.get_unchecked_mut(j..));
d1.write(b_buffer.get_unchecked_mut(j + 4..));
d2.write(b_buffer.get_unchecked_mut(j + 8..));
d3.write(b_buffer.get_unchecked_mut(j + 12..));
}
j += 16;
}
while j + 4 <= total_length {
unsafe {
let a0 = NeonStoreF::load(left.get_unchecked(j..));
let mut b0 = NeonStoreF::load(right.get_unchecked(total_length - j - 4..));
let tw0 = NeonStoreF::load(twiddles.get_unchecked(j..));
b0 = b0.reverse();
let s0 = a0 + b0;
let d0 = (a0 - b0) * tw0;
s0.write(a_buffer.get_unchecked_mut(j..));
d0.write(b_buffer.get_unchecked_mut(j..));
}
j += 4;
}
let rem = total_length - j;
assert!(rem < 4);
match rem {
3 => unsafe {
let a0 = NeonStoreF::load3(left.get_unchecked(j..));
let mut b0 = NeonStoreF::load3(right.get_unchecked(total_length - j - 3..));
b0 = b0.reverse3();
let tw0 = NeonStoreF::load3(twiddles.get_unchecked(j..));
let s0 = a0 + b0;
let d0 = (a0 - b0) * tw0;
s0.write3(a_buffer.get_unchecked_mut(j..));
d0.write3(b_buffer.get_unchecked_mut(j..));
},
2 => unsafe {
let a0 = NeonStoreF::load2(left.get_unchecked(j..));
let mut b0 = NeonStoreF::load2(right.get_unchecked(total_length - j - 2..));
let tw0 = NeonStoreF::load2(twiddles.get_unchecked(j..));
b0 = b0.reverse2();
let s0 = a0 + b0;
let d0 = (a0 - b0) * tw0;
s0.write2(a_buffer.get_unchecked_mut(j..));
d0.write2(b_buffer.get_unchecked_mut(j..));
},
1 => unsafe {
let a0 = NeonStoreF::load1(left.get_unchecked(j..));
let b0 = NeonStoreF::load1(right.get_unchecked(total_length - j - 1..));
let tw0 = NeonStoreF::load1(twiddles.get_unchecked(j..));
let s0 = a0 + b0;
let d0 = (a0 - b0) * tw0;
s0.write1(a_buffer.get_unchecked_mut(j..));
d0.write1(b_buffer.get_unchecked_mut(j..));
},
_ => {}
}
}
}
impl NeonDct2Modulation for f64 {
fn modulate_input(
a_buffer: &mut [Self],
b_buffer: &mut [Self],
left: &[Self],
right: &[Self],
twiddles: &[Self],
) {
let mut j = 0usize;
let total_length = a_buffer.len();
while j + 8 <= total_length {
unsafe {
let a0 = NeonStoreD::load(left.get_unchecked(j..));
let a1 = NeonStoreD::load(left.get_unchecked(j + 2..));
let a2 = NeonStoreD::load(left.get_unchecked(j + 4..));
let a3 = NeonStoreD::load(left.get_unchecked(j + 6..));
let mut b0 = NeonStoreD::load(right.get_unchecked(total_length - j - 2..));
let mut b1 = NeonStoreD::load(right.get_unchecked(total_length - j - 4..));
let mut b2 = NeonStoreD::load(right.get_unchecked(total_length - j - 6..));
let mut b3 = NeonStoreD::load(right.get_unchecked(total_length - j - 8..));
let tw0 = NeonStoreD::load(twiddles.get_unchecked(j..));
let tw1 = NeonStoreD::load(twiddles.get_unchecked(j + 2..));
let tw2 = NeonStoreD::load(twiddles.get_unchecked(j + 4..));
let tw3 = NeonStoreD::load(twiddles.get_unchecked(j + 6..));
b0 = b0.reverse();
b1 = b1.reverse();
b2 = b2.reverse();
b3 = b3.reverse();
let s0 = a0 + b0;
let s1 = a1 + b1;
let s2 = a2 + b2;
let s3 = a3 + b3;
let d0 = (a0 - b0) * tw0;
let d1 = (a1 - b1) * tw1;
let d2 = (a2 - b2) * tw2;
let d3 = (a3 - b3) * tw3;
s0.write(a_buffer.get_unchecked_mut(j..));
s1.write(a_buffer.get_unchecked_mut(j + 2..));
s2.write(a_buffer.get_unchecked_mut(j + 4..));
s3.write(a_buffer.get_unchecked_mut(j + 6..));
d0.write(b_buffer.get_unchecked_mut(j..));
d1.write(b_buffer.get_unchecked_mut(j + 2..));
d2.write(b_buffer.get_unchecked_mut(j + 4..));
d3.write(b_buffer.get_unchecked_mut(j + 6..));
}
j += 8;
}
while j + 2 <= total_length {
unsafe {
let a0 = NeonStoreD::load(left.get_unchecked(j..));
let mut b0 = NeonStoreD::load(right.get_unchecked(total_length - j - 2..));
let tw0 = NeonStoreD::load(twiddles.get_unchecked(j..));
b0 = b0.reverse();
let s0 = a0 + b0;
let d0 = (a0 - b0) * tw0;
s0.write(a_buffer.get_unchecked_mut(j..));
d0.write(b_buffer.get_unchecked_mut(j..));
}
j += 2;
}
let rem = total_length - j;
assert!(rem < 2);
if rem == 1 {
unsafe {
let a0 = NeonStoreD::load1(left.get_unchecked(j..));
let b0 = NeonStoreD::load1(right.get_unchecked(total_length - j - 1..));
let tw0 = NeonStoreD::load1(twiddles.get_unchecked(j..));
let s0 = a0 + b0;
let d0 = (a0 - b0) * tw0;
s0.write1(a_buffer.get_unchecked_mut(j..));
d0.write1(b_buffer.get_unchecked_mut(j..));
}
}
}
}
trait MixedRadix2Differences<T> {
fn accumulate(a_buffer: &[T], b_buffer: &mut [T], output: &mut [T]);
}
impl MixedRadix2Differences<f32> for f32 {
fn accumulate(a_buffer: &[f32], b_buffer: &mut [f32], chunk: &mut [f32]) {
b_buffer[0] *= f32::HALF;
let mut last_odd = 0.;
let mut j = 0usize;
let mut dst_idx = 0usize;
if j + 4 < a_buffer.len() {
let mut differences = NeonStoreF::set_values(0., 0., 0., 0.);
let sign = NeonStoreF::set_values(0.0, -0.0, 0.0, -0.0);
while j + 8 < a_buffer.len() {
differences = differences.xor(sign);
let evens0 = NeonStoreF::load(unsafe { a_buffer.get_unchecked(j..) });
let odds0 = NeonStoreF::load(unsafe { b_buffer.get_unchecked(j..) });
let evens1 = NeonStoreF::load(unsafe { a_buffer.get_unchecked(j + 4..) });
let odds1 = NeonStoreF::load(unsafe { b_buffer.get_unchecked(j + 4..) });
let differences0 = odds0.prefix_differences(sign) - differences;
differences = differences0;
differences = differences.broadcast_last();
differences = differences.xor(sign);
let differences1 = odds1.prefix_differences(sign) - differences;
let zipped0 = NeonStoreF::zip(evens0, differences0);
let zipped1 = NeonStoreF::zip(evens1, differences1);
differences = differences1.broadcast_last();
unsafe {
zipped0[0].write(chunk.get_unchecked_mut(dst_idx..));
zipped0[1].write(chunk.get_unchecked_mut(dst_idx + 4..));
zipped1[0].write(chunk.get_unchecked_mut(dst_idx + 8..));
zipped1[1].write(chunk.get_unchecked_mut(dst_idx + 12..));
}
dst_idx += 16;
j += 8;
}
while j + 4 < a_buffer.len() {
differences = differences.xor(sign);
let evens = NeonStoreF::load(unsafe { a_buffer.get_unchecked(j..) });
let odds = NeonStoreF::load(unsafe { b_buffer.get_unchecked(j..) });
differences = odds.prefix_differences(sign) - differences;
let zipped = NeonStoreF::zip(evens, differences);
differences = differences.broadcast_last();
unsafe {
zipped[0].write(chunk.get_unchecked_mut(dst_idx..));
zipped[1].write(chunk.get_unchecked_mut(dst_idx + 4..));
}
dst_idx += 8;
j += 4;
}
last_odd = differences.last();
}
let chunk = &mut chunk[dst_idx..];
let a_buffer = &a_buffer[j..];
let b_buffer = &b_buffer[j..];
for ((dst, &even), &odd) in chunk
.chunks_exact_mut(2)
.zip(a_buffer.iter())
.zip(b_buffer.iter())
{
dst[0] = even;
last_odd = odd - last_odd;
dst[1] = last_odd;
}
}
}
impl MixedRadix2Differences<f64> for f64 {
fn accumulate(a_buffer: &[f64], b_buffer: &mut [f64], chunk: &mut [f64]) {
b_buffer[0] *= f64::HALF;
let mut last_odd = 0.;
for ((dst, &even), &odd) in chunk
.chunks_exact_mut(2)
.zip(a_buffer.iter())
.zip(b_buffer.iter())
{
dst[0] = even;
last_odd = odd - last_odd;
dst[1] = last_odd;
}
}
}
pub(crate) struct NeonDct2MixedRadix2<T> {
twiddles: Vec<T>,
half_dct: Arc<dyn PxdctExecutor<T> + Send + Sync>,
execution_length: usize,
}
impl<T: DctSample> NeonDct2MixedRadix2<T>
where
f64: AsPrimitive<T>,
usize: AsPrimitive<T>,
{
pub(crate) fn new(
len: usize,
half_dct: Arc<dyn PxdctExecutor<T> + Send + Sync>,
) -> Result<NeonDct2MixedRadix2<T>, PxdctError> {
assert_eq!(
len,
half_dct.length() * 2,
"Invalid DCT was received, half size is not multiple of full size"
);
assert!(
len.is_multiple_of(2),
"DCT-II Mixed Radix-2 can do only multiples of 2"
);
let half_size = half_dct.length();
let mut twiddles = vec![T::default(); half_size];
let length_scale = (1f64 / (2f64 * len as f64)).as_();
for (i, twiddle) in twiddles.iter_mut().enumerate() {
*twiddle = 2f64.as_() * (((i as f64 * 2.).as_() + 1f64.as_()) * length_scale).cospi();
}
Ok(NeonDct2MixedRadix2 {
half_dct,
twiddles,
execution_length: len,
})
}
}
impl<T: DctSample + NeonDct2Modulation + MixedRadix2Differences<T>> PxdctExecutor<T>
for NeonDct2MixedRadix2<T>
where
f64: AsPrimitive<T>,
{
fn execute(&self, data: &mut [T]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(self.execution_length) {
return Err(PxdctError::InvalidSizeMultiplier(
data.len(),
self.execution_length,
));
}
let mut scratch = try_vec![T::default(); self.execution_length];
let half_len = self.half_dct.length();
for chunk in data.chunks_exact_mut(self.execution_length) {
let (a_buffer, b_buffer) = scratch.split_at_mut(half_len);
let (left, right) = chunk.split_at(half_len);
T::modulate_input(a_buffer, b_buffer, left, right, &self.twiddles);
if a_buffer.len() > 1 {
self.half_dct.execute(&mut scratch)?;
}
let (a_buffer, b_buffer) = scratch.split_at_mut(half_len);
T::accumulate(a_buffer, b_buffer, chunk);
}
Ok(())
}
#[inline]
fn length(&self) -> usize {
self.execution_length
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::butterflies::Dct2Butterfly6;
use crate::tests::{naive_dct2, naive_dct2_f32};
use rand::Rng;
#[test]
fn test_radix2_dct() {
let mut input = vec![0.; 12];
for z in input.iter_mut() {
*z = rand::rng().random_range(1.0..2.0);
}
let reference_input = input.clone();
let reference_input = naive_dct2(&reference_input);
let bf = NeonDct2MixedRadix2::new(12, Arc::new(Dct2Butterfly6::default())).unwrap();
bf.execute(&mut input).unwrap();
println!("{:?}", input);
println!("{:?}", reference_input);
input
.iter()
.zip(reference_input.iter())
.enumerate()
.for_each(|(i, (&src, &r0))| {
assert!(
(src - r0).abs() < 1e-7,
"Difference must be < {}, but it was {}, at position {i}",
1e-7,
(src - r0).abs()
)
});
}
#[test]
fn test_radix2_dct_f32() {
let mut input = vec![0f32; 12];
for z in input.iter_mut() {
*z = rand::rng().random_range(1.0..2.0);
}
let reference_input = input.clone();
let reference_input = naive_dct2_f32(&reference_input);
let bf = NeonDct2MixedRadix2::new(12, Arc::new(Dct2Butterfly6::default())).unwrap();
bf.execute(&mut input).unwrap();
println!("{:?}", input);
println!("{:?}", reference_input);
input
.iter()
.zip(reference_input.iter())
.enumerate()
.for_each(|(i, (&src, &r0))| {
assert!(
(src - r0).abs() < 1e-3,
"Difference must be < {}, but it was {}, at position {i}",
1e-3,
(src - r0).abs()
)
});
}
}