use crate::avx::dct4::mixed_radix3f::dct4_radix_n_rotation_twiddles_avxf;
use crate::avx::storef::AvxStoreF;
use crate::avx::util::{define_avx_butterfly, fma};
use crate::bidirectional::{BidirectionalStore, InPlaceStore};
use crate::util::{DctConstants, DctSample};
use crate::{PxdctError, PxdctExecutor};
use num_traits::AsPrimitive;
#[derive(Debug, Clone)]
pub(crate) struct AvxDct4Butterfly3<T> {
_phantom_data: std::marker::PhantomData<T>,
}
impl<T: DctSample> Default for AvxDct4Butterfly3<T>
where
f64: AsPrimitive<T>,
{
fn default() -> Self {
Self {
_phantom_data: std::marker::PhantomData {},
}
}
}
impl<T: DctSample> AvxDct4Butterfly3<T>
where
f64: AsPrimitive<T>,
{
#[inline(always)]
pub(crate) fn exec<S: BidirectionalStore<T>>(&self, data: &mut S) {
let identity = T::FRAC_1_SQRT_2;
let a = data[1] * identity;
let c = (data[0] + data[2]) * identity;
let s = (data[0] - data[2]) * identity;
let u0 = fma(c, T::SQRT_3_OVER_2, s * T::HALF);
let mut v0 = fma(c, T::HALF, -s * T::SQRT_3_OVER_2);
let mut u1 = u0 * T::HALF;
v0 *= T::SQRT_3_OVER_2;
u1 = u1 - a;
data[0] = u0 + a;
data[1] = u1 - v0;
data[2] = v0 + u1;
}
}
define_avx_butterfly!(AvxDct4Butterfly3, 3);
#[derive(Debug, Clone)]
pub(crate) struct AvxDct4Butterfly9<T> {
_phantom: std::marker::PhantomData<T>,
}
impl<T: DctSample> Default for AvxDct4Butterfly9<T>
where
f64: AsPrimitive<T>,
{
fn default() -> Self {
Self {
_phantom: std::marker::PhantomData,
}
}
}
impl<T: DctSample> AvxDct4Butterfly9<T> {
#[inline(always)]
pub(crate) fn exec<S: BidirectionalStore<T>>(&self, data: &mut S) {
let a_buffer = [data[4] * T::FRAC_1_SQRT_2];
let c_buffer = [
(data[0] + data[8]) * T::FRAC_1_SQRT_2,
(data[1] + data[7]) * T::FRAC_1_SQRT_2,
(data[2] + data[6]) * T::FRAC_1_SQRT_2,
(data[3] + data[5]) * T::FRAC_1_SQRT_2,
];
let s_buffer = [
(data[0] - data[8]) * T::FRAC_1_SQRT_2,
(data[1] - data[7]) * T::FRAC_1_SQRT_2,
(data[2] - data[6]) * T::FRAC_1_SQRT_2,
(data[3] - data[5]) * T::FRAC_1_SQRT_2,
];
let c0 = c_buffer[0];
let s0 = s_buffer[0];
let s0_tw0 = s0 * T::D4_R9_ROT_TWIDDLE_1;
let s0_tw1 = -s0 * T::D4_R9_ROT_TWIDDLE_0;
let iq0 = fma(c0, T::D4_R9_ROT_TWIDDLE_0, s0_tw0);
let siq0 = fma(c0, T::D4_R9_ROT_TWIDDLE_1, s0_tw1);
let mut u0 = iq0;
let mut u1 = u0;
let mut v0 = siq0;
u1 *= T::D4_R9_ROT_TWIDDLE_2;
v0 *= T::D4_R9_ROT_TWIDDLE_3;
let c1 = c_buffer[1];
let s1 = s_buffer[1];
let iq1 = fma(c1, T::D4_R9_ROT_TWIDDLE_4, s1 * T::HALF);
let siq1 = fma(c1, T::HALF, -s1 * T::D4_R9_ROT_TWIDDLE_4);
u0 += iq1;
u1 = fma(iq1, T::HALF, u1);
v0 = fma(siq1, T::D4_R9_ROT_TWIDDLE_4, v0);
let c2 = c_buffer[2];
let s2 = s_buffer[2];
let iq2 = fma(c2, T::D4_R9_ROT_TWIDDLE_2, s2 * T::D4_R9_ROT_TWIDDLE_3);
let siq2 = fma(c2, T::D4_R9_ROT_TWIDDLE_3, -s2 * T::D4_R9_ROT_TWIDDLE_2);
u0 += iq2;
u1 = fma(iq2, T::D4_R9_ROT_TWIDDLE_5, u1);
v0 = fma(siq2, T::D4_R9_ROT_TWIDDLE_6, v0);
let c3 = c_buffer[3];
let s3 = s_buffer[3];
let iq3 = fma(c3, T::D4_R9_ROT_TWIDDLE_6, s3 * -T::D4_R9_ROT_TWIDDLE_5);
let siq3 = fma(c3, -T::D4_R9_ROT_TWIDDLE_5, -s3 * T::D4_R9_ROT_TWIDDLE_6);
u0 += iq3;
u1 = fma(iq3, -T::D4_R9_ROT_TWIDDLE_0, u1);
v0 = fma(siq3, T::D4_R9_ROT_TWIDDLE_1, v0);
let a0 = a_buffer[0];
u0 += a0;
u1 = u1 - a0;
data[0] = u0;
data[1] = u1 - v0;
data[2] = u1 + v0;
let mut u2 = iq0;
let mut v2 = siq0;
u2 *= T::D4_R9_ROT_TWIDDLE_0;
v2 *= T::D4_R9_ROT_TWIDDLE_1;
u2 = fma(iq1, -T::HALF, u2);
v2 = fma(siq1, T::D4_R9_ROT_TWIDDLE_4, v2);
u2 = fma(iq2, -T::D4_R9_ROT_TWIDDLE_2, u2);
v2 = fma(siq2, -T::D4_R9_ROT_TWIDDLE_3, v2);
u2 = fma(iq3, -T::D4_R9_ROT_TWIDDLE_5, u2);
v2 = fma(siq3, -T::D4_R9_ROT_TWIDDLE_6, v2);
u2 += a0;
data[3] = u2 - v2;
data[4] = u2 + v2;
let mut u3 = iq0;
let mut v3 = siq0;
u3 *= T::HALF;
v3 *= T::D4_R9_ROT_TWIDDLE_4;
u3 = u3 - iq1;
u3 = fma(iq2, T::HALF, u3);
v3 = fma(siq2, -T::D4_R9_ROT_TWIDDLE_4, v3);
u3 = fma(iq3, T::HALF, u3);
v3 = fma(siq3, T::D4_R9_ROT_TWIDDLE_4, v3);
u3 = u3 - a0;
data[5] = u3 - v3;
data[6] = u3 + v3;
let mut u4 = iq0;
let mut v4 = siq0;
u4 *= -T::D4_R9_ROT_TWIDDLE_5;
v4 *= T::D4_R9_ROT_TWIDDLE_6;
u4 = fma(iq1, -T::HALF, u4);
v4 = fma(siq1, -T::D4_R9_ROT_TWIDDLE_4, v4);
u4 = fma(iq2, T::D4_R9_ROT_TWIDDLE_0, u4);
v4 = fma(siq2, T::D4_R9_ROT_TWIDDLE_1, v4);
u4 = fma(iq3, -T::D4_R9_ROT_TWIDDLE_2, u4);
v4 = fma(siq3, -T::D4_R9_ROT_TWIDDLE_3, v4);
u4 += a0;
data[7] = u4 - v4;
data[8] = u4 + v4;
}
}
define_avx_butterfly!(AvxDct4Butterfly9, 9);
#[derive(Debug, Clone)]
pub(crate) struct AvxDct4Butterfly27f {
twiddle: [AvxStoreF; 4],
bf9: AvxDct4Butterfly9<f32>,
}
impl Default for AvxDct4Butterfly27f {
fn default() -> Self {
Self {
twiddle: unsafe {
dct4_radix_n_rotation_twiddles_avxf(3, 9, 27)
.try_into()
.unwrap()
},
bf9: AvxDct4Butterfly9::default(),
}
}
}
impl AvxDct4Butterfly27f {
#[inline]
#[target_feature(enable = "avx2", enable = "fma")]
pub(crate) fn exec<S: BidirectionalStore<f32>>(&self, data: &mut S) {
let mut a_buffer = [
data[1], data[4], data[7], data[10], data[13], data[16], data[19], data[22], data[25],
];
let mut c_buffer = [
data[0] + data[2],
data[3] + data[5],
data[6] + data[8],
data[9] + data[11],
data[12] + data[14],
data[15] + data[17],
data[18] + data[20],
data[21] + data[23],
data[24] + data[26],
];
let mut s_buffer = [
data[0] - data[2],
data[5] - data[3],
data[6] - data[8],
data[11] - data[9],
data[12] - data[14],
data[17] - data[15],
data[18] - data[20],
data[23] - data[21],
data[24] - data[26],
];
self.bf9.exec(&mut InPlaceStore::new(&mut a_buffer));
self.bf9.exec(&mut InPlaceStore::new(&mut c_buffer));
self.bf9.exec(&mut InPlaceStore::new(&mut s_buffer));
let mut k = 0usize;
let mut uk = 0usize;
let q_modules = 9;
let s = 2 * 27 / 3;
{
const S: usize = 8;
let c_v = AvxStoreF::load(unsafe { c_buffer.get_unchecked(k..) });
let s_v =
AvxStoreF::load(unsafe { s_buffer.get_unchecked(q_modules - k - S..) }).reverse();
let a_v = AvxStoreF::load(unsafe { a_buffer.get_unchecked(k..) });
let twiddle_re = unsafe { *self.twiddle.get_unchecked(uk) };
let twiddle_im = unsafe { *self.twiddle.get_unchecked(uk + 1) };
let mut u0 = fma(c_v, twiddle_re, s_v * twiddle_im);
let mut u1 = u0;
let mut v0 = fma(c_v, twiddle_im, -s_v * twiddle_re);
u0 += a_v;
u1 *= f32::HALF;
v0 *= f32::SQRT_3_OVER_2;
u1 = u1 - a_v;
let uc0 = u1 - v0;
let uc1 = u1 + v0;
u0.write(data.slice_from_mut(k..));
uc1.write(data.slice_from_mut(s + k..));
uc0.reverse().write(data.slice_from_mut(s - S - k..));
k += 8;
uk += 2;
}
{
const S: usize = 1;
let c_v = AvxStoreF::load1(unsafe { c_buffer.get_unchecked(k..) });
let s_v = AvxStoreF::load1(unsafe { s_buffer.get_unchecked(q_modules - k - S..) });
let a_v = AvxStoreF::load1(unsafe { a_buffer.get_unchecked(k..) });
let twiddle_re = unsafe { *self.twiddle.get_unchecked(uk) };
let twiddle_im = unsafe { *self.twiddle.get_unchecked(uk + 1) };
let mut u0 = fma(c_v, twiddle_re, s_v * twiddle_im);
let mut u1 = u0;
let mut v0 = fma(c_v, twiddle_im, -s_v * twiddle_re);
u0 += a_v;
u1 *= f32::HALF;
v0 *= f32::SQRT_3_OVER_2;
u1 = u1 - a_v;
let uc0 = u1 - v0;
let uc1 = u1 + v0;
u0.write1(data.slice_from_mut(k..));
uc1.write1(data.slice_from_mut(s + k..));
uc0.write1(data.slice_from_mut(s - S - k..));
}
}
}
impl AvxDct4Butterfly27f {
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_impl(&self, data: &mut [f32]) -> Result<(), PxdctError> {
if !data.len().is_multiple_of(27) {
return Err(PxdctError::InvalidSizeMultiplier(data.len(), self.length()));
}
for chunk in data.chunks_exact_mut(27) {
self.exec(&mut InPlaceStore::new(chunk));
}
Ok(())
}
#[target_feature(enable = "avx2", enable = "fma")]
fn execute_into_impl(&self, input: &[f32], output: &mut [f32]) -> Result<(), PxdctError> {
use crate::util::validate_oof_sizes;
validate_oof_sizes!(input, output, 27);
use crate::bidirectional::BiStore;
for (src, dst) in input.chunks_exact(27).zip(output.chunks_exact_mut(27)) {
self.exec(&mut BiStore::new(src, dst));
}
Ok(())
}
}
impl PxdctExecutor<f32> for AvxDct4Butterfly27f {
fn execute(&self, data: &mut [f32]) -> Result<(), PxdctError> {
unsafe { self.execute_impl(data) }
}
fn execute_with_scratch(&self, data: &mut [f32], _: &mut [f32]) -> Result<(), PxdctError> {
unsafe { self.execute_impl(data) }
}
fn execute_into(&self, input: &[f32], output: &mut [f32]) -> Result<(), PxdctError> {
unsafe { self.execute_into_impl(input, output) }
}
fn execute_into_with_scratch(
&self,
input: &[f32],
output: &mut [f32],
_: &mut [f32],
) -> Result<(), PxdctError> {
unsafe { self.execute_into_impl(input, output) }
}
fn length(&self) -> usize {
27
}
fn scratch_size(&self) -> usize {
0
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::PxdctExecutor;
use crate::avx::dct2_bf_power2::gen_test_avx_butterfly;
use crate::tests::{naive_dct4, naive_dct4_f32};
gen_test_avx_butterfly!(test_bf_dct4_3, AvxDct4Butterfly3, 3, 1e-7, naive_dct4);
gen_test_avx_butterfly!(test_bf_dct4_9, AvxDct4Butterfly9, 9, 1e-7, naive_dct4);
gen_test_avx_butterfly!(
test_bf_dct4_27,
AvxDct4Butterfly27f,
27,
1e-3,
naive_dct4_f32
);
}