use crate::bidirectional::{BidirectionalStore, InPlaceStore};
use crate::mla::fmla;
use crate::neon::dct2::bf_split_radix2d::dct2_split_radix_rotation_twiddles_neond;
use crate::neon::store_d::NeonStoreD;
use crate::util::{try_vec, validate_scratch};
use crate::{PxdctError, PxdctExecutor};
use std::ops::Neg;
use std::sync::Arc;
pub(crate) struct NeonSplitRadixDct2dImpl<const SCALED: bool> {
twiddles: Vec<NeonStoreD>,
half_dct: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
quarter_dct: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
execution_length: usize,
inner_scratch_size: usize,
half_dct_scratch_size: usize,
quarter_dct_scratch_size: usize,
}
impl<const SCALED: bool> NeonSplitRadixDct2dImpl<SCALED> {
pub(crate) fn new(
len: usize,
half_dct: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
quarter_dct: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
) -> Result<NeonSplitRadixDct2dImpl<SCALED>, PxdctError> {
assert_eq!(
half_dct.length(),
quarter_dct.length() * 2,
"Invalid DCT was received, quarter size is not multiple of half"
);
let twiddles = dct2_split_radix_rotation_twiddles_neond::<SCALED>(len);
let half_dct_scratch_size = half_dct.scratch_size();
let quarter_dct_scratch_size = quarter_dct.scratch_size();
Ok(NeonSplitRadixDct2dImpl {
twiddles,
half_dct,
quarter_dct,
execution_length: len,
inner_scratch_size: len + half_dct_scratch_size.max(quarter_dct_scratch_size),
half_dct_scratch_size,
quarter_dct_scratch_size,
})
}
}
impl<const SCALED: bool> NeonSplitRadixDct2dImpl<SCALED> {
#[inline(always)]
fn execute_with_store<S: BidirectionalStore<f64>>(
&self,
data: &mut S,
scratch: &mut [f64],
) -> Result<(), PxdctError> {
let (scratch, r) = scratch.split_at_mut(self.execution_length);
let len = self.length();
let half_len = len / 2;
let quarter_len = len / 4;
let scale = NeonStoreD::dup((2. / self.execution_length as f64).sqrt());
let (input_dct2, input_dct4) = scratch.split_at_mut(half_len);
let (input_dct4_even, input_dct4_odd) = input_dct4.split_at_mut(quarter_len);
let conj_odd = NeonStoreD::set_values(0.0, -0.0);
for (i, twiddle_pack) in self.twiddles.chunks_exact(2).enumerate() {
let twiddle_re = twiddle_pack[0];
let twiddle_im = twiddle_pack[1];
let input_bottom = NeonStoreD::load(data.slice_from(i * 2..));
let input_top = NeonStoreD::load(data.slice_from(len - i * 2 - 2..)).reverse();
let input_half_bottom =
NeonStoreD::load(data.slice_from(half_len - i * 2 - 2..)).reverse();
let input_half_top = NeonStoreD::load(data.slice_from(half_len + i * 2..));
if SCALED {
unsafe {
let q = (input_top + input_bottom) * scale;
q.write(input_dct2.get_unchecked_mut(i * 2..));
};
unsafe {
let dq = (input_half_bottom + input_half_top) * scale;
dq.reverse()
.write(input_dct2.get_unchecked_mut(half_len - i * 2 - 2..));
};
} else {
unsafe {
let q = input_top + input_bottom;
q.write(input_dct2.get_unchecked_mut(i * 2..));
};
unsafe {
let dq = input_half_bottom + input_half_top;
dq.reverse()
.write(input_dct2.get_unchecked_mut(half_len - i * 2 - 2..));
};
}
let lower_dct4 = input_bottom - input_top;
let upper_dct4 = input_half_bottom - input_half_top;
let cos_input = fmla(lower_dct4, twiddle_re, upper_dct4 * twiddle_im);
let sin_input = fmla(upper_dct4, twiddle_re, -lower_dct4 * twiddle_im);
unsafe {
cos_input.write(input_dct4_even.get_unchecked_mut(i * 2..));
let conj_odd = sin_input.xor(conj_odd).reverse();
conj_odd.write(input_dct4_odd.get_unchecked_mut(quarter_len - i * 2 - 2..));
};
}
let (half_dct_scratch, _) = r.split_at_mut(self.half_dct_scratch_size);
self.half_dct
.execute_with_scratch(input_dct2, half_dct_scratch)?;
let (quarter_dct_scratch, _) = r.split_at_mut(self.quarter_dct_scratch_size);
self.quarter_dct
.execute_with_scratch(input_dct4, quarter_dct_scratch)?;
let (input_dct4_even, input_dct4_odd) = input_dct4.split_at_mut(quarter_len);
unsafe {
data[0] = *input_dct2.get_unchecked(0);
data[1] = *input_dct4_even.get_unchecked(0);
data[2] = *input_dct2.get_unchecked(1);
let mut i = 1usize;
while i + 2 <= quarter_len {
let dct4_cos_output_v = NeonStoreD::load(input_dct4_even.get_unchecked(i..));
let dct4_sin_output_v =
NeonStoreD::load(input_dct4_odd.get_unchecked(quarter_len - i - 1..))
.reverse()
.xor(conj_odd);
let [dct4_cos_output0, dct4_cos_output1] = dct4_cos_output_v.zip(dct4_cos_output_v);
let [mut dct4_sin_output0, mut dct4_sin_output1] =
dct4_sin_output_v.zip(dct4_sin_output_v);
dct4_sin_output0 = dct4_sin_output0.xor(conj_odd);
dct4_sin_output1 = dct4_sin_output1.xor(conj_odd);
let input0 = NeonStoreD::load(input_dct2.get_unchecked(i * 2..));
let input1 = NeonStoreD::load(input_dct2.get_unchecked(i * 2 + 2..));
let sums0 = dct4_cos_output0 + dct4_sin_output0;
let sums1 = dct4_cos_output1 + dct4_sin_output1;
let zipped0 = sums0.zip(input0);
let zipped1 = sums1.zip(input1);
zipped0[0].write(data.slice_from_mut(i * 4 - 1..));
zipped0[1].write(data.slice_from_mut(i * 4 + 1..));
zipped1[0].write(data.slice_from_mut(i * 4 + 3..));
zipped1[1].write(data.slice_from_mut(i * 4 + 5..));
i += 2;
}
for i in i..quarter_len {
let dct4_cos_output = *input_dct4_even.get_unchecked(i);
let dct4_sin_output = if (i + quarter_len) % 2 == 0 {
-*input_dct4_odd.get_unchecked(quarter_len - i)
} else {
*input_dct4_odd.get_unchecked(quarter_len - i)
};
data[i * 4 - 1] = dct4_cos_output + dct4_sin_output;
data[i * 4] = *input_dct2.get_unchecked(i * 2);
data[i * 4 + 1] = dct4_cos_output - dct4_sin_output;
data[i * 4 + 2] = *input_dct2.get_unchecked(i * 2 + 1);
}
data[len - 1] = -*input_dct4_odd.get_unchecked(0);
}
Ok(())
}
}
impl<const SCALED: bool> PxdctExecutor<f64> for NeonSplitRadixDct2dImpl<SCALED> {
fn execute(&self, data: &mut [f64]) -> Result<(), PxdctError> {
let mut scratch = try_vec![f64::default(); self.scratch_size()];
self.execute_with_scratch(data, &mut scratch)
}
fn execute_with_scratch(
&self,
data: &mut [f64],
scratch: &mut [f64],
) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(self.execution_length) {
return Err(PxdctError::InvalidSizeMultiplier(
data.len(),
self.execution_length,
));
}
let full_scratch = validate_scratch!(scratch, self.scratch_size());
for chunk in data.chunks_exact_mut(self.execution_length) {
self.execute_with_store(&mut InPlaceStore::new(chunk), full_scratch)?;
}
Ok(())
}
fn execute_into(&self, input: &[f64], output: &mut [f64]) -> Result<(), PxdctError> {
let mut scratch = try_vec![f64::default(); self.scratch_size()];
self.execute_into_with_scratch(input, output, &mut scratch)
}
fn execute_into_with_scratch(
&self,
input: &[f64],
output: &mut [f64],
scratch: &mut [f64],
) -> Result<(), PxdctError> {
use crate::util::validate_oof_sizes;
validate_oof_sizes!(input, output, self.execution_length);
let full_scratch = validate_scratch!(scratch, self.scratch_size());
use crate::bidirectional::BiStore;
for (src, dst) in input
.chunks_exact(self.execution_length)
.zip(output.chunks_exact_mut(self.execution_length))
{
self.execute_with_store(&mut BiStore::new(src, dst), full_scratch)?;
}
Ok(())
}
#[inline]
fn length(&self) -> usize {
self.execution_length
}
fn scratch_size(&self) -> usize {
self.inner_scratch_size
}
}
pub(crate) type NeonSplitRadixDct2d = NeonSplitRadixDct2dImpl<false>;
pub(crate) type ScaledNeonSplitRadixDct2d = NeonSplitRadixDct2dImpl<true>;
pub(crate) struct NeonSplitRadixDst2d {
split_radix_dct2: NeonSplitRadixDct2d,
execution_length: usize,
}
impl NeonSplitRadixDst2d {
pub(crate) fn new(
len: usize,
half_dct: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
quarter_dct: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
) -> Result<NeonSplitRadixDst2d, PxdctError> {
assert_eq!(
half_dct.length(),
quarter_dct.length() * 2,
"Invalid DCT was received, quarter size is not multiple of half in DST-II"
);
Ok(NeonSplitRadixDst2d {
split_radix_dct2: NeonSplitRadixDct2d::new(len, half_dct, quarter_dct)?,
execution_length: len,
})
}
}
impl PxdctExecutor<f64> for NeonSplitRadixDst2d {
fn execute(&self, data: &mut [f64]) -> Result<(), PxdctError> {
let mut scratch = try_vec![f64::default(); self.scratch_size()];
self.execute_with_scratch(data, &mut scratch)
}
fn execute_with_scratch(
&self,
data: &mut [f64],
scratch: &mut [f64],
) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(self.execution_length) {
return Err(PxdctError::InvalidSizeMultiplier(
data.len(),
self.execution_length,
));
}
let scratch = validate_scratch!(scratch, self.scratch_size());
for chunk in data.chunks_exact_mut(self.execution_length) {
for dst in chunk.chunks_exact_mut(2) {
dst[1] = dst[1].neg();
}
self.split_radix_dct2.execute_with_scratch(chunk, scratch)?;
chunk.reverse();
}
Ok(())
}
fn execute_into(&self, input: &[f64], output: &mut [f64]) -> Result<(), PxdctError> {
let mut scratch = try_vec![f64::default(); self.scratch_size()];
self.execute_into_with_scratch(input, output, &mut scratch)
}
fn execute_into_with_scratch(
&self,
input: &[f64],
output: &mut [f64],
scratch: &mut [f64],
) -> Result<(), PxdctError> {
use crate::util::validate_oof_sizes;
validate_oof_sizes!(input, output, self.execution_length);
let scratch = validate_scratch!(scratch, self.scratch_size());
for (src, dst) in input
.chunks_exact(self.execution_length)
.zip(output.chunks_exact_mut(self.execution_length))
{
for (src, dst) in src.chunks_exact(2).zip(dst.chunks_exact_mut(2)) {
dst[1] = src[1].neg();
}
self.split_radix_dct2.execute_with_scratch(dst, scratch)?;
dst.reverse();
}
Ok(())
}
#[inline]
fn length(&self) -> usize {
self.execution_length
}
#[inline]
fn scratch_size(&self) -> usize {
self.split_radix_dct2.scratch_size()
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::dct2::power2_butterflies::{Dct2Butterfly8, Dct2Butterfly16};
use crate::neon::dct2::bf_split_radix2d::NeonDct2Butterfly32d;
use crate::tests::{naive_dct2, naive_scaled_dct2};
use rand::RngExt;
#[test]
fn test_split_dct2() {
let mut input = vec![0.; 32];
for (_, z) in input.iter_mut().enumerate() {
*z = rand::rng().random_range(1.0..2.0);
}
let reference_input = input.clone();
let mut ref2 = reference_input.clone();
let reference_input = naive_dct2(&reference_input);
let bf = NeonSplitRadixDct2d::new(
32,
Arc::new(Dct2Butterfly16::default()),
Arc::new(Dct2Butterfly8::default()),
)
.unwrap();
bf.execute(&mut input).unwrap();
let bf2 = NeonDct2Butterfly32d::default();
bf2.execute(&mut ref2).unwrap();
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()
)
});
}
#[test]
fn test_split_scaled_dct2() {
let mut input = vec![0.; 32];
for (_, z) in input.iter_mut().enumerate() {
*z = rand::rng().random_range(1.0..2.0);
}
let reference_input = input.clone();
let mut ref2 = reference_input.clone();
let reference_input = naive_scaled_dct2(&reference_input);
let bf = ScaledNeonSplitRadixDct2d::new(
32,
Arc::new(Dct2Butterfly16::default()),
Arc::new(Dct2Butterfly8::default()),
)
.unwrap();
bf.execute(&mut input).unwrap();
let bf2 = NeonDct2Butterfly32d::default();
bf2.execute(&mut ref2).unwrap();
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()
)
});
}
}