use crate::avx::AvxDct2Butterfly3;
use crate::avx::dct2::mixed_radix6f::dct2_radix6_avx_groups;
use crate::avx::storef::AvxStoreF;
use crate::avx::util::fma;
use crate::dct2::power2_butterflies::Dct2Butterfly2;
use crate::factory_dct2::Dct2Factory;
use crate::util::{DctConstants, DctSample};
use crate::{PxdctError, PxdctExecutor};
use num_traits::AsPrimitive;
use std::f32;
use std::sync::Arc;
#[derive(Debug, Clone)]
pub(crate) struct AvxDct2Butterfly6<T: DctSample> {
bf3: AvxDct2Butterfly3<T>,
}
impl<T: DctSample> Default for AvxDct2Butterfly6<T>
where
f64: AsPrimitive<T>,
usize: AsPrimitive<T>,
{
fn default() -> Self {
Self {
bf3: AvxDct2Butterfly3::default(),
}
}
}
impl<T: DctSample> AvxDct2Butterfly6<T>
where
f64: AsPrimitive<T>,
{
#[inline(always)]
fn exec(&self, data: &mut [T; 6]) {
let mut c0 = [data[0], data[5]];
let mut c1 = [data[4], data[1]];
let mut c2 = [data[3], data[2]];
Dct2Butterfly2::exec(&mut c0);
Dct2Butterfly2::exec(&mut c1);
Dct2Butterfly2::exec(&mut c2);
let mut rows0 = [c0[0], c1[0], c2[0]];
let mut rows1 = [c0[1], c1[1], c2[1]];
self.bf3.exec(&mut rows0);
self.bf3.exec(&mut rows1);
data[0] = rows0[0];
data[1] = rows1[1] + rows1[2];
data[2] = rows0[1];
data[3] = rows1[0];
data[4] = rows0[2];
data[5] = rows1[1] - rows1[2];
}
}
impl<T: DctSample> AvxDct2Butterfly6<T>
where
f64: AsPrimitive<T>,
{
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_impl(&self, data: &mut [T]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(6) {
return Err(PxdctError::InvalidSizeMultiplier(data.len(), self.length()));
}
for chunk in data.chunks_exact_mut(6) {
self.exec((&mut chunk[..6]).try_into().unwrap());
}
Ok(())
}
}
impl<T: DctSample> PxdctExecutor<T> for AvxDct2Butterfly6<T>
where
f64: AsPrimitive<T>,
{
fn execute(&self, data: &mut [T]) -> Result<(), PxdctError> {
unsafe { self.execute_impl(data) }
}
fn length(&self) -> usize {
6
}
}
#[derive(Debug, Clone)]
pub(crate) struct AvxDct2Butterfly36f {
inner_layer: [AvxStoreF; 7],
bf6: AvxDct2Butterfly6<f32>,
}
impl Default for AvxDct2Butterfly36f {
fn default() -> Self {
Self {
inner_layer: unsafe { dct2_radix6_avx_groups(36).try_into().unwrap() },
bf6: AvxDct2Butterfly6::default(),
}
}
}
impl AvxDct2Butterfly36f {
#[inline(always)]
fn exec(
&self,
data: &mut [f32; 36],
a_buffer: &mut [f32; 6],
b_buffer: &mut [f32; 6],
c_buffer: &mut [f32; 6],
d_buffer: &mut [f32; 6],
e_buffer: &mut [f32; 6],
f_buffer: &mut [f32; 6],
) {
unsafe {
let s_n = 36 / 3;
let s_2n = 2 * 36 / 3;
let ai = AvxStoreF::load6(data);
let mut bi = AvxStoreF::load6(data.get_unchecked(s_n - 6..));
let ci = AvxStoreF::load6(data.get_unchecked(s_n..));
let mut di = AvxStoreF::load6(data.get_unchecked(s_2n - 6..));
let ei = AvxStoreF::load6(data.get_unchecked(s_2n..));
let mut fi = AvxStoreF::load6(data.get_unchecked(36 - 6..));
bi = bi.reverse6();
di = di.reverse6();
fi = fi.reverse6();
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 = f32::TWO * ai;
let fi2 = f32::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 = f32::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(
f32::TWO * cos_sin_2ai_re,
fma(c_comp, cos_sin_2ai_re, -c_zet),
-c_comp,
);
a_comp.write6(a_buffer);
let q0 = fma(ai2dbedcd, cos_sin_ai_re, b_zet);
q0.write6(b_buffer);
let q1 = fma(c_comp, cos_sin_2ai_re, c_zet);
q1.write6(c_buffer);
let q2 = d_comp * cos_sin_3ai_re;
q2.write6(d_buffer);
e_comp.write6(e_buffer);
let q3 = fma(ai2dbedcd, cos_sin_5ai_re, f_zet);
q3.write6(f_buffer);
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] * f32::HALF;
data[2] = c_buffer[0] * f32::HALF;
data[3] = d_buffer[0] * f32::HALF;
data[4] = e_buffer[0] * f32::HALF;
data[5] = f_buffer[0] * f32::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 AvxDct2Butterfly36f {
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_impl(&self, data: &mut [f32]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(36) {
return Err(PxdctError::InvalidSizeMultiplier(data.len(), self.length()));
}
let mut a_buffer = [f32::default(); 6];
let mut b_buffer = [f32::default(); 6];
let mut c_buffer = [f32::default(); 6];
let mut d_buffer = [f32::default(); 6];
let mut e_buffer = [f32::default(); 6];
let mut f_buffer = [f32::default(); 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(())
}
fn length(&self) -> usize {
36
}
}
impl PxdctExecutor<f32> for AvxDct2Butterfly36f {
fn execute(&self, data: &mut [f32]) -> Result<(), PxdctError> {
unsafe { self.execute_impl(data) }
}
fn length(&self) -> usize {
36
}
}
#[derive(Clone)]
pub(crate) struct AvxDct2Butterfly216f {
inner_layer: [AvxStoreF; 35],
bf36: Arc<dyn PxdctExecutor<f32> + Send + Sync>,
}
impl Default for AvxDct2Butterfly216f {
fn default() -> Self {
Self {
inner_layer: unsafe { dct2_radix6_avx_groups(216).try_into().unwrap() },
bf36: f32::dct2_butterfly36(),
}
}
}
impl AvxDct2Butterfly216f {
#[inline(always)]
fn exec(&self, data: &mut [f32; 216], scratch: &mut [f32; 216]) {
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..4 {
unsafe {
let j = i * 8;
let ai = AvxStoreF::load(data.get_unchecked(j..));
let mut bi = AvxStoreF::load(data.get_unchecked(s_n - j - 8..));
let ci = AvxStoreF::load(data.get_unchecked(s_n + j..));
let mut di = AvxStoreF::load(data.get_unchecked(s_2n - j - 8..));
let ei = AvxStoreF::load(data.get_unchecked(s_2n + j..));
let mut fi = AvxStoreF::load(data.get_unchecked(216 - j - 8..));
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 = f32::TWO * ai;
let fi2 = f32::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 = f32::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(
f32::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;
}
{
unsafe {
let j = 4 * 8;
let ai = AvxStoreF::load4(data.get_unchecked(j..));
let mut bi = AvxStoreF::load4(data.get_unchecked(s_n - j - 4..));
let ci = AvxStoreF::load4(data.get_unchecked(s_n + j..));
let mut di = AvxStoreF::load4(data.get_unchecked(s_2n - j - 4..));
let ei = AvxStoreF::load4(data.get_unchecked(s_2n + j..));
let mut fi = AvxStoreF::load4(data.get_unchecked(216 - j - 4..));
bi = bi.reverse4();
di = di.reverse4();
fi = fi.reverse4();
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 = f32::TWO * ai;
let fi2 = f32::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 = f32::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(
f32::TWO * cos_sin_2ai_re,
fma(c_comp, cos_sin_2ai_re, -c_zet),
-c_comp,
);
a_comp.write4(a_buffer.get_unchecked_mut(j..));
let q0 = fma(ai2dbedcd, cos_sin_ai_re, b_zet);
q0.write4(b_buffer.get_unchecked_mut(j..));
let q1 = fma(c_comp, cos_sin_2ai_re, c_zet);
q1.write4(c_buffer.get_unchecked_mut(j..));
let q2 = d_comp * cos_sin_3ai_re;
q2.write4(d_buffer.get_unchecked_mut(j..));
e_comp.write4(e_buffer.get_unchecked_mut(j..));
let q3 = fma(ai2dbedcd, cos_sin_5ai_re, f_zet);
q3.write4(f_buffer.get_unchecked_mut(j..));
}
}
_ = 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] * f32::HALF;
data[2] = c_buffer[0] * f32::HALF;
data[3] = d_buffer[0] * f32::HALF;
data[4] = e_buffer[0] * f32::HALF;
data[5] = f_buffer[0] * f32::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 AvxDct2Butterfly216f {
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_impl(&self, data: &mut [f32]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(216) {
return Err(PxdctError::InvalidSizeMultiplier(data.len(), self.length()));
}
let mut scratch = [f32::default(); 216];
for chunk in data.chunks_exact_mut(216) {
self.exec((&mut chunk[..216]).try_into().unwrap(), &mut scratch);
}
Ok(())
}
fn length(&self) -> usize {
216
}
}
impl PxdctExecutor<f32> for AvxDct2Butterfly216f {
fn execute(&self, data: &mut [f32]) -> 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, naive_dct2_f32};
gen_test_avx_butterfly!(test_bf3, AvxDct2Butterfly6, 6, 1e-7, naive_dct2);
gen_test_avx_butterfly!(test_bf36, AvxDct2Butterfly36f, 36, 1e-3, naive_dct2_f32);
gen_test_avx_butterfly!(test_bf216, AvxDct2Butterfly216f, 216, 1e-3, naive_dct2_f32);
}