use crate::avx::dct2::mixed_radix6d::dct2_radix6_avx_groupd;
use crate::avx::stored::AvxStoreD;
use crate::avx::util::fma;
use crate::butterflies::Dct2Butterfly6;
use crate::factory_dct2::Dct2Factory;
use crate::util::DctConstants;
use crate::{PxdctError, PxdctExecutor};
use num_traits::Zero;
use std::sync::Arc;
#[derive(Debug, Clone)]
pub(crate) struct AvxDct2Butterfly36d {
inner_layer: [AvxStoreD; 14],
bf6: Dct2Butterfly6<f64>,
}
impl Default for AvxDct2Butterfly36d {
fn default() -> Self {
Self {
inner_layer: unsafe { dct2_radix6_avx_groupd(36).try_into().unwrap() },
bf6: Dct2Butterfly6::default(),
}
}
}
impl AvxDct2Butterfly36d {
#[inline(always)]
fn exec(
&self,
data: &mut [f64; 36],
a_buffer: &mut [f64; 6],
b_buffer: &mut [f64; 6],
c_buffer: &mut [f64; 6],
d_buffer: &mut [f64; 6],
e_buffer: &mut [f64; 6],
f_buffer: &mut [f64; 6],
) {
unsafe {
let s_n = 36 / 3;
let s_2n = 2 * 36 / 3;
{
let i = 0;
let ai = AvxStoreD::load(data);
let mut bi = AvxStoreD::load(data.get_unchecked(s_n - i - 4..));
let ci = AvxStoreD::load(data.get_unchecked(s_n + i..));
let mut di = AvxStoreD::load(data.get_unchecked(s_2n - i - 4..));
let ei = AvxStoreD::load(data.get_unchecked(s_2n + i..));
let mut fi = AvxStoreD::load(data.get_unchecked(36 - i - 4..));
bi = bi.reverse();
di = di.reverse();
fi = fi.reverse();
let cos_sin_ai_re = self.inner_layer[0];
let cos_sin_ai_im = self.inner_layer[1];
let cos_sin_2ai_re = self.inner_layer[2];
let cos_sin_2ai_im = self.inner_layer[3];
let cos_sin_3ai_re = self.inner_layer[4];
let cos_sin_5ai_re = self.inner_layer[5];
let cos_sin_5ai_im = self.inner_layer[6];
let s2 = bi + ei;
let dcd = ci - di;
let dbe = bi - ei;
let ai2 = f64::TWO * ai;
let fi2 = f64::TWO * fi;
let scd = ci + di;
let sdbedcd = dbe + dcd;
let ai2dbedcd = ai2 + sdbedcd - fi2;
let s2scd = s2 + scd;
let a_comp = ai + s2scd + fi;
let c_comp = ai2 - s2scd + fi2;
let d_comp = f64::TWO * (ai - sdbedcd - fi);
let dbedcd = dbe - dcd;
let c_img = s2 - ci - di;
let b_zet = dbedcd * cos_sin_ai_im;
let c_zet = c_img * cos_sin_2ai_im;
let f_zet = dbedcd * cos_sin_5ai_im;
let e_comp = fma(
f64::TWO * cos_sin_2ai_re,
fma(c_comp, cos_sin_2ai_re, -c_zet),
-c_comp,
);
a_comp.write(a_buffer.get_unchecked_mut(i..));
let q0 = fma(ai2dbedcd, cos_sin_ai_re, b_zet);
q0.write(b_buffer.get_unchecked_mut(i..));
let q1 = fma(c_comp, cos_sin_2ai_re, c_zet);
q1.write(c_buffer.get_unchecked_mut(i..));
let q2 = d_comp * cos_sin_3ai_re;
q2.write(d_buffer.get_unchecked_mut(i..));
e_comp.write(e_buffer.get_unchecked_mut(i..));
let q3 = fma(ai2dbedcd, cos_sin_5ai_re, f_zet);
q3.write(f_buffer.get_unchecked_mut(i..));
}
{
let i = 4;
let ai = AvxStoreD::load2(data.get_unchecked(i..));
let mut bi = AvxStoreD::load2(data.get_unchecked(s_n - i - 2..));
let ci = AvxStoreD::load2(data.get_unchecked(s_n + i..));
let mut di = AvxStoreD::load2(data.get_unchecked(s_2n - i - 2..));
let ei = AvxStoreD::load2(data.get_unchecked(s_2n + i..));
let mut fi = AvxStoreD::load2(data.get_unchecked(36 - i - 2..));
bi = bi.reverse2();
di = di.reverse2();
fi = fi.reverse2();
let cos_sin_ai_re = self.inner_layer[7];
let cos_sin_ai_im = self.inner_layer[8];
let cos_sin_2ai_re = self.inner_layer[9];
let cos_sin_2ai_im = self.inner_layer[10];
let cos_sin_3ai_re = self.inner_layer[11];
let cos_sin_5ai_re = self.inner_layer[12];
let cos_sin_5ai_im = self.inner_layer[13];
let s2 = bi + ei;
let dcd = ci - di;
let dbe = bi - ei;
let ai2 = f64::TWO * ai;
let fi2 = f64::TWO * fi;
let scd = ci + di;
let sdbedcd = dbe + dcd;
let ai2dbedcd = ai2 + sdbedcd - fi2;
let s2scd = s2 + scd;
let a_comp = ai + s2scd + fi;
let c_comp = ai2 - s2scd + fi2;
let d_comp = f64::TWO * (ai - sdbedcd - fi);
let dbedcd = dbe - dcd;
let c_img = s2 - ci - di;
let b_zet = dbedcd * cos_sin_ai_im;
let c_zet = c_img * cos_sin_2ai_im;
let f_zet = dbedcd * cos_sin_5ai_im;
let e_comp = fma(
f64::TWO * cos_sin_2ai_re,
fma(c_comp, cos_sin_2ai_re, -c_zet),
-c_comp,
);
a_comp.write2(a_buffer.get_unchecked_mut(i..));
let q0 = fma(ai2dbedcd, cos_sin_ai_re, b_zet);
q0.write2(b_buffer.get_unchecked_mut(i..));
let q1 = fma(c_comp, cos_sin_2ai_re, c_zet);
q1.write2(c_buffer.get_unchecked_mut(i..));
let q2 = d_comp * cos_sin_3ai_re;
q2.write2(d_buffer.get_unchecked_mut(i..));
e_comp.write2(e_buffer.get_unchecked_mut(i..));
let q3 = fma(ai2dbedcd, cos_sin_5ai_re, f_zet);
q3.write2(f_buffer.get_unchecked_mut(i..));
}
self.bf6.exec(a_buffer);
self.bf6.exec(b_buffer);
self.bf6.exec(c_buffer);
self.bf6.exec(d_buffer);
self.bf6.exec(e_buffer);
self.bf6.exec(f_buffer);
data[0] = a_buffer[0];
data[1] = b_buffer[0] * f64::HALF;
data[2] = c_buffer[0] * f64::HALF;
data[3] = d_buffer[0] * f64::HALF;
data[4] = e_buffer[0] * f64::HALF;
data[5] = f_buffer[0] * f64::HALF;
let mut b_diff = data[5];
let mut c_diff = data[4];
let mut e_diff = data[3];
let mut d_diff = data[2];
let mut f_diff = data[1];
for k in 1..6 {
data[6 * k] = a_buffer[k];
let deferred_f_diff = b_buffer[k] - b_diff;
data[6 * k + 1] = deferred_f_diff;
let deferred_d_diff = c_buffer[k] - c_diff;
data[6 * k + 2] = deferred_d_diff;
e_diff = d_buffer[k] - e_diff;
data[6 * k + 3] = e_diff;
let new_d = e_buffer[k] - d_diff;
data[6 * k + 4] = new_d;
c_diff = new_d;
d_diff = deferred_d_diff;
let new_f = f_buffer[k] - f_diff;
b_diff = new_f;
f_diff = deferred_f_diff;
data[6 * k + 5] = new_f;
}
}
}
}
impl AvxDct2Butterfly36d {
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_impl(&self, data: &mut [f64]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(36) {
return Err(PxdctError::InvalidSizeMultiplier(data.len(), self.length()));
}
let mut a_buffer = [f64::zero(); 6];
let mut b_buffer = [f64::zero(); 6];
let mut c_buffer = [f64::zero(); 6];
let mut d_buffer = [f64::zero(); 6];
let mut e_buffer = [f64::zero(); 6];
let mut f_buffer = [f64::zero(); 6];
for chunk in data.chunks_exact_mut(36) {
self.exec(
(&mut chunk[..36]).try_into().unwrap(),
&mut a_buffer,
&mut b_buffer,
&mut c_buffer,
&mut d_buffer,
&mut e_buffer,
&mut f_buffer,
);
}
Ok(())
}
}
impl PxdctExecutor<f64> for AvxDct2Butterfly36d {
fn execute(&self, data: &mut [f64]) -> Result<(), PxdctError> {
unsafe { self.execute_impl(data) }
}
fn length(&self) -> usize {
36
}
}
#[derive(Clone)]
pub(crate) struct AvxDct2Butterfly216d {
inner_layer: [AvxStoreD; 63],
bf36: Arc<dyn PxdctExecutor<f64> + Send + Sync>,
}
impl Default for AvxDct2Butterfly216d {
fn default() -> Self {
Self {
inner_layer: unsafe { dct2_radix6_avx_groupd(216).try_into().unwrap() },
bf36: f64::dct2_butterfly36(),
}
}
}
impl AvxDct2Butterfly216d {
#[inline(always)]
fn exec(&self, data: &mut [f64; 216], scratch: &mut [f64; 216]) {
unsafe {
let s_n = 216 / 3;
let s_2n = 2 * 216 / 3;
let (a_buffer, rem) = scratch.split_at_mut(36);
let (b_buffer, rem) = rem.split_at_mut(36);
let (c_buffer, rem) = rem.split_at_mut(36);
let (d_buffer, rem) = rem.split_at_mut(36);
let (e_buffer, rem) = rem.split_at_mut(36);
let (f_buffer, _) = rem.split_at_mut(36);
let mut twiddle_idx = 0usize;
for i in 0..9 {
let j = i * 4;
let ai = AvxStoreD::load(&data[j..]);
let mut bi = AvxStoreD::load(data.get_unchecked(s_n - j - 4..));
let ci = AvxStoreD::load(data.get_unchecked(s_n + j..));
let mut di = AvxStoreD::load(data.get_unchecked(s_2n - j - 4..));
let ei = AvxStoreD::load(data.get_unchecked(s_2n + j..));
let mut fi = AvxStoreD::load(data.get_unchecked(216 - j - 4..));
bi = bi.reverse();
di = di.reverse();
fi = fi.reverse();
let cos_sin_ai_re = self.inner_layer[twiddle_idx];
let cos_sin_ai_im = self.inner_layer[twiddle_idx + 1];
let cos_sin_2ai_re = self.inner_layer[twiddle_idx + 2];
let cos_sin_2ai_im = self.inner_layer[twiddle_idx + 3];
let cos_sin_3ai_re = self.inner_layer[twiddle_idx + 4];
let cos_sin_5ai_re = self.inner_layer[twiddle_idx + 5];
let cos_sin_5ai_im = self.inner_layer[twiddle_idx + 6];
let s2 = bi + ei;
let dcd = ci - di;
let dbe = bi - ei;
let ai2 = f64::TWO * ai;
let fi2 = f64::TWO * fi;
let scd = ci + di;
let sdbedcd = dbe + dcd;
let ai2dbedcd = ai2 + sdbedcd - fi2;
let s2scd = s2 + scd;
let a_comp = ai + s2scd + fi;
let c_comp = ai2 - s2scd + fi2;
let d_comp = f64::TWO * (ai - sdbedcd - fi);
let dbedcd = dbe - dcd;
let c_img = s2 - ci - di;
let b_zet = dbedcd * cos_sin_ai_im;
let c_zet = c_img * cos_sin_2ai_im;
let f_zet = dbedcd * cos_sin_5ai_im;
let e_comp = fma(
f64::TWO * cos_sin_2ai_re,
fma(c_comp, cos_sin_2ai_re, -c_zet),
-c_comp,
);
a_comp.write(a_buffer.get_unchecked_mut(j..));
let q0 = fma(ai2dbedcd, cos_sin_ai_re, b_zet);
q0.write(b_buffer.get_unchecked_mut(j..));
let q1 = fma(c_comp, cos_sin_2ai_re, c_zet);
q1.write(c_buffer.get_unchecked_mut(j..));
let q2 = d_comp * cos_sin_3ai_re;
q2.write(d_buffer.get_unchecked_mut(j..));
e_comp.write(e_buffer.get_unchecked_mut(j..));
let q3 = fma(ai2dbedcd, cos_sin_5ai_re, f_zet);
q3.write(f_buffer.get_unchecked_mut(j..));
twiddle_idx += 7;
}
_ = self.bf36.execute(scratch);
let (a_buffer, rem) = scratch.split_at_mut(36);
let (b_buffer, rem) = rem.split_at_mut(36);
let (c_buffer, rem) = rem.split_at_mut(36);
let (d_buffer, rem) = rem.split_at_mut(36);
let (e_buffer, rem) = rem.split_at_mut(36);
let (f_buffer, _) = rem.split_at_mut(36);
data[0] = a_buffer[0];
data[1] = b_buffer[0] * f64::HALF;
data[2] = c_buffer[0] * f64::HALF;
data[3] = d_buffer[0] * f64::HALF;
data[4] = e_buffer[0] * f64::HALF;
data[5] = f_buffer[0] * f64::HALF;
let mut b_diff = data[5];
let mut c_diff = data[4];
let mut e_diff = data[3];
let mut d_diff = data[2];
let mut f_diff = data[1];
for k in 1..36 {
data[6 * k] = a_buffer[k];
let deferred_f_diff = b_buffer[k] - b_diff;
data[6 * k + 1] = deferred_f_diff;
let deferred_d_diff = c_buffer[k] - c_diff;
data[6 * k + 2] = deferred_d_diff;
e_diff = d_buffer[k] - e_diff;
data[6 * k + 3] = e_diff;
let new_d = e_buffer[k] - d_diff;
data[6 * k + 4] = new_d;
c_diff = new_d;
d_diff = deferred_d_diff;
let new_f = f_buffer[k] - f_diff;
b_diff = new_f;
f_diff = deferred_f_diff;
data[6 * k + 5] = new_f;
}
}
}
}
impl AvxDct2Butterfly216d {
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_impl(&self, data: &mut [f64]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(216) {
return Err(PxdctError::InvalidSizeMultiplier(data.len(), self.length()));
}
let mut scratch = [f64::default(); 216];
for chunk in data.chunks_exact_mut(216) {
self.exec((&mut chunk[..216]).try_into().unwrap(), &mut scratch);
}
Ok(())
}
}
impl PxdctExecutor<f64> for AvxDct2Butterfly216d {
fn execute(&self, data: &mut [f64]) -> Result<(), PxdctError> {
unsafe { self.execute_impl(data) }
}
fn length(&self) -> usize {
216
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::PxdctExecutor;
use crate::avx::dct2_bf_power2::gen_test_avx_butterfly;
use crate::tests::naive_dct2;
gen_test_avx_butterfly!(test_bf36_f64, AvxDct2Butterfly36d, 36, 1e-3, naive_dct2);
gen_test_avx_butterfly!(test_bf216_f64, AvxDct2Butterfly216d, 216, 1e-3, naive_dct2);
}