rustfft/sse/

sse_prime_butterflies.rs

use core::arch::x86_64::{__m128, __m128d};
use std::any::TypeId;
use std::sync::Arc;
use num_complex::Complex;

use crate::{common::FftNum, FftDirection};

use crate::array_utils::DoubleBuf;
use crate::twiddles;
use crate::{Direction, Fft, Length};

use super::sse_common::{assert_f32, assert_f64};
use super::sse_utils::*;
use super::sse_vector::*;

/* 
This file contains autogenerated butterfly algorithms for small prime-sized FFTs using the SSE instruction set.

NOTE: All of the code in this file was **autogenerated** using the following command in the project root:
    cargo run --manifest-path ./tools/gen_simd_butterflies/Cargo.toml -- sse 7 11 13 17 19 23 29 31
    
Do not make changes directly to this file. Instead, update the autogeneration script 
(Located at tools/gen_simd_butterflies/src/main.rs) and then re-run the script to generate the new code.

For these sizes, we use a variant of the naive DFT algorithm. Even though this algorithm is O(n^2),
we're able to factor out some redundant computations, and they up being faster than the fancier algorithms.

To generate more or fewer butterfly sizes, simply add or remove numbers from the command above and re-run.
The code generation script will even handle adding or removing sizes from the planner, all you need to do is run the script.
*/

pub const fn prime_butterfly_lens() -> &'static [usize] {
    &[7, 11, 13, 17, 19, 23, 29, 31, ]
}

/// Safety: The current machine must support the sse4.1 target feature
#[target_feature(enable = "sse4.1")]
pub unsafe fn construct_prime_butterfly<T: FftNum>(len: usize, direction: FftDirection) -> Arc<dyn Fft<T>> {
    let id_f32 = TypeId::of::<f32>();
    let id_f64 = TypeId::of::<f64>();
    let id_t = TypeId::of::<T>();
    if id_t == id_f32 {
        match len {
            7 => Arc::new(SseF32Butterfly7::new(direction)) as Arc<dyn Fft<T>>,
            11 => Arc::new(SseF32Butterfly11::new(direction)) as Arc<dyn Fft<T>>,
            13 => Arc::new(SseF32Butterfly13::new(direction)) as Arc<dyn Fft<T>>,
            17 => Arc::new(SseF32Butterfly17::new(direction)) as Arc<dyn Fft<T>>,
            19 => Arc::new(SseF32Butterfly19::new(direction)) as Arc<dyn Fft<T>>,
            23 => Arc::new(SseF32Butterfly23::new(direction)) as Arc<dyn Fft<T>>,
            29 => Arc::new(SseF32Butterfly29::new(direction)) as Arc<dyn Fft<T>>,
            31 => Arc::new(SseF32Butterfly31::new(direction)) as Arc<dyn Fft<T>>,
            _ => unimplemented!("Invalid SSE prime butterfly length: {len}"),
        }
    } else if id_t == id_f64 {
        match len {
            7 => Arc::new(SseF64Butterfly7::new(direction)) as Arc<dyn Fft<T>>,
            11 => Arc::new(SseF64Butterfly11::new(direction)) as Arc<dyn Fft<T>>,
            13 => Arc::new(SseF64Butterfly13::new(direction)) as Arc<dyn Fft<T>>,
            17 => Arc::new(SseF64Butterfly17::new(direction)) as Arc<dyn Fft<T>>,
            19 => Arc::new(SseF64Butterfly19::new(direction)) as Arc<dyn Fft<T>>,
            23 => Arc::new(SseF64Butterfly23::new(direction)) as Arc<dyn Fft<T>>,
            29 => Arc::new(SseF64Butterfly29::new(direction)) as Arc<dyn Fft<T>>,
            31 => Arc::new(SseF64Butterfly31::new(direction)) as Arc<dyn Fft<T>>,
            _ => unimplemented!("Invalid SSE prime butterfly length: {len}"),
        }
    } else {
        unimplemented!("Not f32 or f64");
    }
}

#[inline(always)]
fn make_twiddles<const TW: usize, T: FftNum>(len: usize, direction: FftDirection) -> [Complex<T>; TW] {
    let mut i = 1;
    [(); TW].map(|_| {
        let twiddle = twiddles::compute_twiddle(i, len, direction);
        i += 1;
        twiddle
    })
}

struct SseF32Butterfly7<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 3],
    twiddles_im: [__m128; 3],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly7, 7, |this: &SseF32Butterfly7<_>| this.direction);
impl<T: FftNum> SseF32Butterfly7<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(7, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[3]),
            extract_hi_lo_f32(input_packed[0], input_packed[4]),
            extract_lo_hi_f32(input_packed[1], input_packed[4]),
            extract_hi_lo_f32(input_packed[1], input_packed[5]),
            extract_lo_hi_f32(input_packed[2], input_packed[5]),
            extract_hi_lo_f32(input_packed[2], input_packed[6]),
            extract_lo_hi_f32(input_packed[3], input_packed[6]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_hi_f32(out[6], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 7]) -> [__m128; 7] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p6, x1m6] =  SseVector::column_butterfly2([values[1], values[6]]);
        let x1m6 = SseVector::apply_rotate90(rotate, x1m6);
        let y00 = SseVector::add(y00, x1p6);
        let [x2p5, x2m5] =  SseVector::column_butterfly2([values[2], values[5]]);
        let x2m5 = SseVector::apply_rotate90(rotate, x2m5);
        let y00 = SseVector::add(y00, x2p5);
        let [x3p4, x3m4] =  SseVector::column_butterfly2([values[3], values[4]]);
        let x3m4 = SseVector::apply_rotate90(rotate, x3m4);
        let y00 = SseVector::add(y00, x3p4);

        let m0106a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p6);
        let m0106a = SseVector::fmadd(m0106a, self.twiddles_re[1], x2p5);
        let m0106a = SseVector::fmadd(m0106a, self.twiddles_re[2], x3p4);
        let m0106b = SseVector::mul(self.twiddles_im[0], x1m6);
        let m0106b = SseVector::fmadd(m0106b, self.twiddles_im[1], x2m5);
        let m0106b = SseVector::fmadd(m0106b, self.twiddles_im[2], x3m4);
        let [y01, y06] = SseVector::column_butterfly2([m0106a, m0106b]);

        let m0205a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p6);
        let m0205a = SseVector::fmadd(m0205a, self.twiddles_re[2], x2p5);
        let m0205a = SseVector::fmadd(m0205a, self.twiddles_re[0], x3p4);
        let m0205b = SseVector::mul(self.twiddles_im[1], x1m6);
        let m0205b = SseVector::nmadd(m0205b, self.twiddles_im[2], x2m5);
        let m0205b = SseVector::nmadd(m0205b, self.twiddles_im[0], x3m4);
        let [y02, y05] = SseVector::column_butterfly2([m0205a, m0205b]);

        let m0304a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p6);
        let m0304a = SseVector::fmadd(m0304a, self.twiddles_re[0], x2p5);
        let m0304a = SseVector::fmadd(m0304a, self.twiddles_re[1], x3p4);
        let m0304b = SseVector::mul(self.twiddles_im[2], x1m6);
        let m0304b = SseVector::nmadd(m0304b, self.twiddles_im[0], x2m5);
        let m0304b = SseVector::fmadd(m0304b, self.twiddles_im[1], x3m4);
        let [y03, y04] = SseVector::column_butterfly2([m0304a, m0304b]);


        [y00, y01, y02, y03, y04, y05, y06]
    }
}

struct SseF64Butterfly7<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 3],
    twiddles_im: [__m128d; 3],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly7, 7, |this: &SseF64Butterfly7<_>| this.direction);
impl<T: FftNum> SseF64Butterfly7<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(7, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 7]) -> [__m128d; 7] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p6, x1m6] =  SseVector::column_butterfly2([values[1], values[6]]);
        let x1m6 = SseVector::apply_rotate90(rotate, x1m6);
        let y00 = SseVector::add(y00, x1p6);
        let [x2p5, x2m5] =  SseVector::column_butterfly2([values[2], values[5]]);
        let x2m5 = SseVector::apply_rotate90(rotate, x2m5);
        let y00 = SseVector::add(y00, x2p5);
        let [x3p4, x3m4] =  SseVector::column_butterfly2([values[3], values[4]]);
        let x3m4 = SseVector::apply_rotate90(rotate, x3m4);
        let y00 = SseVector::add(y00, x3p4);

        let m0106a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p6);
        let m0106a = SseVector::fmadd(m0106a, self.twiddles_re[1], x2p5);
        let m0106a = SseVector::fmadd(m0106a, self.twiddles_re[2], x3p4);
        let m0106b = SseVector::mul(self.twiddles_im[0], x1m6);
        let m0106b = SseVector::fmadd(m0106b, self.twiddles_im[1], x2m5);
        let m0106b = SseVector::fmadd(m0106b, self.twiddles_im[2], x3m4);
        let [y01, y06] = SseVector::column_butterfly2([m0106a, m0106b]);

        let m0205a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p6);
        let m0205a = SseVector::fmadd(m0205a, self.twiddles_re[2], x2p5);
        let m0205a = SseVector::fmadd(m0205a, self.twiddles_re[0], x3p4);
        let m0205b = SseVector::mul(self.twiddles_im[1], x1m6);
        let m0205b = SseVector::nmadd(m0205b, self.twiddles_im[2], x2m5);
        let m0205b = SseVector::nmadd(m0205b, self.twiddles_im[0], x3m4);
        let [y02, y05] = SseVector::column_butterfly2([m0205a, m0205b]);

        let m0304a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p6);
        let m0304a = SseVector::fmadd(m0304a, self.twiddles_re[0], x2p5);
        let m0304a = SseVector::fmadd(m0304a, self.twiddles_re[1], x3p4);
        let m0304b = SseVector::mul(self.twiddles_im[2], x1m6);
        let m0304b = SseVector::nmadd(m0304b, self.twiddles_im[0], x2m5);
        let m0304b = SseVector::fmadd(m0304b, self.twiddles_im[1], x3m4);
        let [y03, y04] = SseVector::column_butterfly2([m0304a, m0304b]);


        [y00, y01, y02, y03, y04, y05, y06]
    }
}

struct SseF32Butterfly11<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 5],
    twiddles_im: [__m128; 5],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly11, 11, |this: &SseF32Butterfly11<_>| this.direction);
impl<T: FftNum> SseF32Butterfly11<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(11, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[5]),
            extract_hi_lo_f32(input_packed[0], input_packed[6]),
            extract_lo_hi_f32(input_packed[1], input_packed[6]),
            extract_hi_lo_f32(input_packed[1], input_packed[7]),
            extract_lo_hi_f32(input_packed[2], input_packed[7]),
            extract_hi_lo_f32(input_packed[2], input_packed[8]),
            extract_lo_hi_f32(input_packed[3], input_packed[8]),
            extract_hi_lo_f32(input_packed[3], input_packed[9]),
            extract_lo_hi_f32(input_packed[4], input_packed[9]),
            extract_hi_lo_f32(input_packed[4], input_packed[10]),
            extract_lo_hi_f32(input_packed[5], input_packed[10]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_hi_f32(out[10], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 11]) -> [__m128; 11] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p10, x1m10] =  SseVector::column_butterfly2([values[1], values[10]]);
        let x1m10 = SseVector::apply_rotate90(rotate, x1m10);
        let y00 = SseVector::add(y00, x1p10);
        let [x2p9, x2m9] =  SseVector::column_butterfly2([values[2], values[9]]);
        let x2m9 = SseVector::apply_rotate90(rotate, x2m9);
        let y00 = SseVector::add(y00, x2p9);
        let [x3p8, x3m8] =  SseVector::column_butterfly2([values[3], values[8]]);
        let x3m8 = SseVector::apply_rotate90(rotate, x3m8);
        let y00 = SseVector::add(y00, x3p8);
        let [x4p7, x4m7] =  SseVector::column_butterfly2([values[4], values[7]]);
        let x4m7 = SseVector::apply_rotate90(rotate, x4m7);
        let y00 = SseVector::add(y00, x4p7);
        let [x5p6, x5m6] =  SseVector::column_butterfly2([values[5], values[6]]);
        let x5m6 = SseVector::apply_rotate90(rotate, x5m6);
        let y00 = SseVector::add(y00, x5p6);

        let m0110a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p10);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[1], x2p9);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[2], x3p8);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[3], x4p7);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[4], x5p6);
        let m0110b = SseVector::mul(self.twiddles_im[0], x1m10);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[1], x2m9);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[2], x3m8);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[3], x4m7);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[4], x5m6);
        let [y01, y10] = SseVector::column_butterfly2([m0110a, m0110b]);

        let m0209a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p10);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[3], x2p9);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[4], x3p8);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[2], x4p7);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[0], x5p6);
        let m0209b = SseVector::mul(self.twiddles_im[1], x1m10);
        let m0209b = SseVector::fmadd(m0209b, self.twiddles_im[3], x2m9);
        let m0209b = SseVector::nmadd(m0209b, self.twiddles_im[4], x3m8);
        let m0209b = SseVector::nmadd(m0209b, self.twiddles_im[2], x4m7);
        let m0209b = SseVector::nmadd(m0209b, self.twiddles_im[0], x5m6);
        let [y02, y09] = SseVector::column_butterfly2([m0209a, m0209b]);

        let m0308a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p10);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[4], x2p9);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[1], x3p8);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[0], x4p7);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[3], x5p6);
        let m0308b = SseVector::mul(self.twiddles_im[2], x1m10);
        let m0308b = SseVector::nmadd(m0308b, self.twiddles_im[4], x2m9);
        let m0308b = SseVector::nmadd(m0308b, self.twiddles_im[1], x3m8);
        let m0308b = SseVector::fmadd(m0308b, self.twiddles_im[0], x4m7);
        let m0308b = SseVector::fmadd(m0308b, self.twiddles_im[3], x5m6);
        let [y03, y08] = SseVector::column_butterfly2([m0308a, m0308b]);

        let m0407a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p10);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[2], x2p9);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[0], x3p8);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[4], x4p7);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[1], x5p6);
        let m0407b = SseVector::mul(self.twiddles_im[3], x1m10);
        let m0407b = SseVector::nmadd(m0407b, self.twiddles_im[2], x2m9);
        let m0407b = SseVector::fmadd(m0407b, self.twiddles_im[0], x3m8);
        let m0407b = SseVector::fmadd(m0407b, self.twiddles_im[4], x4m7);
        let m0407b = SseVector::nmadd(m0407b, self.twiddles_im[1], x5m6);
        let [y04, y07] = SseVector::column_butterfly2([m0407a, m0407b]);

        let m0506a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p10);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[0], x2p9);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[3], x3p8);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[1], x4p7);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[2], x5p6);
        let m0506b = SseVector::mul(self.twiddles_im[4], x1m10);
        let m0506b = SseVector::nmadd(m0506b, self.twiddles_im[0], x2m9);
        let m0506b = SseVector::fmadd(m0506b, self.twiddles_im[3], x3m8);
        let m0506b = SseVector::nmadd(m0506b, self.twiddles_im[1], x4m7);
        let m0506b = SseVector::fmadd(m0506b, self.twiddles_im[2], x5m6);
        let [y05, y06] = SseVector::column_butterfly2([m0506a, m0506b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10]
    }
}

struct SseF64Butterfly11<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 5],
    twiddles_im: [__m128d; 5],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly11, 11, |this: &SseF64Butterfly11<_>| this.direction);
impl<T: FftNum> SseF64Butterfly11<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(11, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 11]) -> [__m128d; 11] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p10, x1m10] =  SseVector::column_butterfly2([values[1], values[10]]);
        let x1m10 = SseVector::apply_rotate90(rotate, x1m10);
        let y00 = SseVector::add(y00, x1p10);
        let [x2p9, x2m9] =  SseVector::column_butterfly2([values[2], values[9]]);
        let x2m9 = SseVector::apply_rotate90(rotate, x2m9);
        let y00 = SseVector::add(y00, x2p9);
        let [x3p8, x3m8] =  SseVector::column_butterfly2([values[3], values[8]]);
        let x3m8 = SseVector::apply_rotate90(rotate, x3m8);
        let y00 = SseVector::add(y00, x3p8);
        let [x4p7, x4m7] =  SseVector::column_butterfly2([values[4], values[7]]);
        let x4m7 = SseVector::apply_rotate90(rotate, x4m7);
        let y00 = SseVector::add(y00, x4p7);
        let [x5p6, x5m6] =  SseVector::column_butterfly2([values[5], values[6]]);
        let x5m6 = SseVector::apply_rotate90(rotate, x5m6);
        let y00 = SseVector::add(y00, x5p6);

        let m0110a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p10);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[1], x2p9);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[2], x3p8);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[3], x4p7);
        let m0110a = SseVector::fmadd(m0110a, self.twiddles_re[4], x5p6);
        let m0110b = SseVector::mul(self.twiddles_im[0], x1m10);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[1], x2m9);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[2], x3m8);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[3], x4m7);
        let m0110b = SseVector::fmadd(m0110b, self.twiddles_im[4], x5m6);
        let [y01, y10] = SseVector::column_butterfly2([m0110a, m0110b]);

        let m0209a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p10);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[3], x2p9);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[4], x3p8);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[2], x4p7);
        let m0209a = SseVector::fmadd(m0209a, self.twiddles_re[0], x5p6);
        let m0209b = SseVector::mul(self.twiddles_im[1], x1m10);
        let m0209b = SseVector::fmadd(m0209b, self.twiddles_im[3], x2m9);
        let m0209b = SseVector::nmadd(m0209b, self.twiddles_im[4], x3m8);
        let m0209b = SseVector::nmadd(m0209b, self.twiddles_im[2], x4m7);
        let m0209b = SseVector::nmadd(m0209b, self.twiddles_im[0], x5m6);
        let [y02, y09] = SseVector::column_butterfly2([m0209a, m0209b]);

        let m0308a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p10);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[4], x2p9);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[1], x3p8);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[0], x4p7);
        let m0308a = SseVector::fmadd(m0308a, self.twiddles_re[3], x5p6);
        let m0308b = SseVector::mul(self.twiddles_im[2], x1m10);
        let m0308b = SseVector::nmadd(m0308b, self.twiddles_im[4], x2m9);
        let m0308b = SseVector::nmadd(m0308b, self.twiddles_im[1], x3m8);
        let m0308b = SseVector::fmadd(m0308b, self.twiddles_im[0], x4m7);
        let m0308b = SseVector::fmadd(m0308b, self.twiddles_im[3], x5m6);
        let [y03, y08] = SseVector::column_butterfly2([m0308a, m0308b]);

        let m0407a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p10);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[2], x2p9);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[0], x3p8);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[4], x4p7);
        let m0407a = SseVector::fmadd(m0407a, self.twiddles_re[1], x5p6);
        let m0407b = SseVector::mul(self.twiddles_im[3], x1m10);
        let m0407b = SseVector::nmadd(m0407b, self.twiddles_im[2], x2m9);
        let m0407b = SseVector::fmadd(m0407b, self.twiddles_im[0], x3m8);
        let m0407b = SseVector::fmadd(m0407b, self.twiddles_im[4], x4m7);
        let m0407b = SseVector::nmadd(m0407b, self.twiddles_im[1], x5m6);
        let [y04, y07] = SseVector::column_butterfly2([m0407a, m0407b]);

        let m0506a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p10);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[0], x2p9);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[3], x3p8);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[1], x4p7);
        let m0506a = SseVector::fmadd(m0506a, self.twiddles_re[2], x5p6);
        let m0506b = SseVector::mul(self.twiddles_im[4], x1m10);
        let m0506b = SseVector::nmadd(m0506b, self.twiddles_im[0], x2m9);
        let m0506b = SseVector::fmadd(m0506b, self.twiddles_im[3], x3m8);
        let m0506b = SseVector::nmadd(m0506b, self.twiddles_im[1], x4m7);
        let m0506b = SseVector::fmadd(m0506b, self.twiddles_im[2], x5m6);
        let [y05, y06] = SseVector::column_butterfly2([m0506a, m0506b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10]
    }
}

struct SseF32Butterfly13<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 6],
    twiddles_im: [__m128; 6],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly13, 13, |this: &SseF32Butterfly13<_>| this.direction);
impl<T: FftNum> SseF32Butterfly13<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(13, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20,22,24 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[6]),
            extract_hi_lo_f32(input_packed[0], input_packed[7]),
            extract_lo_hi_f32(input_packed[1], input_packed[7]),
            extract_hi_lo_f32(input_packed[1], input_packed[8]),
            extract_lo_hi_f32(input_packed[2], input_packed[8]),
            extract_hi_lo_f32(input_packed[2], input_packed[9]),
            extract_lo_hi_f32(input_packed[3], input_packed[9]),
            extract_hi_lo_f32(input_packed[3], input_packed[10]),
            extract_lo_hi_f32(input_packed[4], input_packed[10]),
            extract_hi_lo_f32(input_packed[4], input_packed[11]),
            extract_lo_hi_f32(input_packed[5], input_packed[11]),
            extract_hi_lo_f32(input_packed[5], input_packed[12]),
            extract_lo_hi_f32(input_packed[6], input_packed[12]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_lo_f32(out[10], out[11]),
            extract_lo_hi_f32(out[12], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
            extract_hi_hi_f32(out[11], out[12]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10,11,12 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 13]) -> [__m128; 13] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p12, x1m12] =  SseVector::column_butterfly2([values[1], values[12]]);
        let x1m12 = SseVector::apply_rotate90(rotate, x1m12);
        let y00 = SseVector::add(y00, x1p12);
        let [x2p11, x2m11] =  SseVector::column_butterfly2([values[2], values[11]]);
        let x2m11 = SseVector::apply_rotate90(rotate, x2m11);
        let y00 = SseVector::add(y00, x2p11);
        let [x3p10, x3m10] =  SseVector::column_butterfly2([values[3], values[10]]);
        let x3m10 = SseVector::apply_rotate90(rotate, x3m10);
        let y00 = SseVector::add(y00, x3p10);
        let [x4p9, x4m9] =  SseVector::column_butterfly2([values[4], values[9]]);
        let x4m9 = SseVector::apply_rotate90(rotate, x4m9);
        let y00 = SseVector::add(y00, x4p9);
        let [x5p8, x5m8] =  SseVector::column_butterfly2([values[5], values[8]]);
        let x5m8 = SseVector::apply_rotate90(rotate, x5m8);
        let y00 = SseVector::add(y00, x5p8);
        let [x6p7, x6m7] =  SseVector::column_butterfly2([values[6], values[7]]);
        let x6m7 = SseVector::apply_rotate90(rotate, x6m7);
        let y00 = SseVector::add(y00, x6p7);

        let m0112a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p12);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[1], x2p11);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[2], x3p10);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[3], x4p9);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[4], x5p8);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[5], x6p7);
        let m0112b = SseVector::mul(self.twiddles_im[0], x1m12);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[1], x2m11);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[2], x3m10);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[3], x4m9);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[4], x5m8);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[5], x6m7);
        let [y01, y12] = SseVector::column_butterfly2([m0112a, m0112b]);

        let m0211a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p12);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[3], x2p11);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[5], x3p10);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[4], x4p9);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[2], x5p8);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[0], x6p7);
        let m0211b = SseVector::mul(self.twiddles_im[1], x1m12);
        let m0211b = SseVector::fmadd(m0211b, self.twiddles_im[3], x2m11);
        let m0211b = SseVector::fmadd(m0211b, self.twiddles_im[5], x3m10);
        let m0211b = SseVector::nmadd(m0211b, self.twiddles_im[4], x4m9);
        let m0211b = SseVector::nmadd(m0211b, self.twiddles_im[2], x5m8);
        let m0211b = SseVector::nmadd(m0211b, self.twiddles_im[0], x6m7);
        let [y02, y11] = SseVector::column_butterfly2([m0211a, m0211b]);

        let m0310a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p12);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[5], x2p11);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[3], x3p10);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[0], x4p9);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[1], x5p8);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[4], x6p7);
        let m0310b = SseVector::mul(self.twiddles_im[2], x1m12);
        let m0310b = SseVector::fmadd(m0310b, self.twiddles_im[5], x2m11);
        let m0310b = SseVector::nmadd(m0310b, self.twiddles_im[3], x3m10);
        let m0310b = SseVector::nmadd(m0310b, self.twiddles_im[0], x4m9);
        let m0310b = SseVector::fmadd(m0310b, self.twiddles_im[1], x5m8);
        let m0310b = SseVector::fmadd(m0310b, self.twiddles_im[4], x6m7);
        let [y03, y10] = SseVector::column_butterfly2([m0310a, m0310b]);

        let m0409a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p12);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[4], x2p11);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[0], x3p10);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[2], x4p9);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[5], x5p8);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[1], x6p7);
        let m0409b = SseVector::mul(self.twiddles_im[3], x1m12);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[4], x2m11);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[0], x3m10);
        let m0409b = SseVector::fmadd(m0409b, self.twiddles_im[2], x4m9);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[5], x5m8);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[1], x6m7);
        let [y04, y09] = SseVector::column_butterfly2([m0409a, m0409b]);

        let m0508a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p12);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[2], x2p11);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[1], x3p10);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[5], x4p9);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[0], x5p8);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[3], x6p7);
        let m0508b = SseVector::mul(self.twiddles_im[4], x1m12);
        let m0508b = SseVector::nmadd(m0508b, self.twiddles_im[2], x2m11);
        let m0508b = SseVector::fmadd(m0508b, self.twiddles_im[1], x3m10);
        let m0508b = SseVector::nmadd(m0508b, self.twiddles_im[5], x4m9);
        let m0508b = SseVector::nmadd(m0508b, self.twiddles_im[0], x5m8);
        let m0508b = SseVector::fmadd(m0508b, self.twiddles_im[3], x6m7);
        let [y05, y08] = SseVector::column_butterfly2([m0508a, m0508b]);

        let m0607a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p12);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[0], x2p11);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[4], x3p10);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[1], x4p9);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[3], x5p8);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[2], x6p7);
        let m0607b = SseVector::mul(self.twiddles_im[5], x1m12);
        let m0607b = SseVector::nmadd(m0607b, self.twiddles_im[0], x2m11);
        let m0607b = SseVector::fmadd(m0607b, self.twiddles_im[4], x3m10);
        let m0607b = SseVector::nmadd(m0607b, self.twiddles_im[1], x4m9);
        let m0607b = SseVector::fmadd(m0607b, self.twiddles_im[3], x5m8);
        let m0607b = SseVector::nmadd(m0607b, self.twiddles_im[2], x6m7);
        let [y06, y07] = SseVector::column_butterfly2([m0607a, m0607b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12]
    }
}

struct SseF64Butterfly13<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 6],
    twiddles_im: [__m128d; 6],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly13, 13, |this: &SseF64Butterfly13<_>| this.direction);
impl<T: FftNum> SseF64Butterfly13<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(13, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 13]) -> [__m128d; 13] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p12, x1m12] =  SseVector::column_butterfly2([values[1], values[12]]);
        let x1m12 = SseVector::apply_rotate90(rotate, x1m12);
        let y00 = SseVector::add(y00, x1p12);
        let [x2p11, x2m11] =  SseVector::column_butterfly2([values[2], values[11]]);
        let x2m11 = SseVector::apply_rotate90(rotate, x2m11);
        let y00 = SseVector::add(y00, x2p11);
        let [x3p10, x3m10] =  SseVector::column_butterfly2([values[3], values[10]]);
        let x3m10 = SseVector::apply_rotate90(rotate, x3m10);
        let y00 = SseVector::add(y00, x3p10);
        let [x4p9, x4m9] =  SseVector::column_butterfly2([values[4], values[9]]);
        let x4m9 = SseVector::apply_rotate90(rotate, x4m9);
        let y00 = SseVector::add(y00, x4p9);
        let [x5p8, x5m8] =  SseVector::column_butterfly2([values[5], values[8]]);
        let x5m8 = SseVector::apply_rotate90(rotate, x5m8);
        let y00 = SseVector::add(y00, x5p8);
        let [x6p7, x6m7] =  SseVector::column_butterfly2([values[6], values[7]]);
        let x6m7 = SseVector::apply_rotate90(rotate, x6m7);
        let y00 = SseVector::add(y00, x6p7);

        let m0112a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p12);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[1], x2p11);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[2], x3p10);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[3], x4p9);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[4], x5p8);
        let m0112a = SseVector::fmadd(m0112a, self.twiddles_re[5], x6p7);
        let m0112b = SseVector::mul(self.twiddles_im[0], x1m12);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[1], x2m11);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[2], x3m10);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[3], x4m9);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[4], x5m8);
        let m0112b = SseVector::fmadd(m0112b, self.twiddles_im[5], x6m7);
        let [y01, y12] = SseVector::column_butterfly2([m0112a, m0112b]);

        let m0211a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p12);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[3], x2p11);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[5], x3p10);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[4], x4p9);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[2], x5p8);
        let m0211a = SseVector::fmadd(m0211a, self.twiddles_re[0], x6p7);
        let m0211b = SseVector::mul(self.twiddles_im[1], x1m12);
        let m0211b = SseVector::fmadd(m0211b, self.twiddles_im[3], x2m11);
        let m0211b = SseVector::fmadd(m0211b, self.twiddles_im[5], x3m10);
        let m0211b = SseVector::nmadd(m0211b, self.twiddles_im[4], x4m9);
        let m0211b = SseVector::nmadd(m0211b, self.twiddles_im[2], x5m8);
        let m0211b = SseVector::nmadd(m0211b, self.twiddles_im[0], x6m7);
        let [y02, y11] = SseVector::column_butterfly2([m0211a, m0211b]);

        let m0310a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p12);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[5], x2p11);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[3], x3p10);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[0], x4p9);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[1], x5p8);
        let m0310a = SseVector::fmadd(m0310a, self.twiddles_re[4], x6p7);
        let m0310b = SseVector::mul(self.twiddles_im[2], x1m12);
        let m0310b = SseVector::fmadd(m0310b, self.twiddles_im[5], x2m11);
        let m0310b = SseVector::nmadd(m0310b, self.twiddles_im[3], x3m10);
        let m0310b = SseVector::nmadd(m0310b, self.twiddles_im[0], x4m9);
        let m0310b = SseVector::fmadd(m0310b, self.twiddles_im[1], x5m8);
        let m0310b = SseVector::fmadd(m0310b, self.twiddles_im[4], x6m7);
        let [y03, y10] = SseVector::column_butterfly2([m0310a, m0310b]);

        let m0409a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p12);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[4], x2p11);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[0], x3p10);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[2], x4p9);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[5], x5p8);
        let m0409a = SseVector::fmadd(m0409a, self.twiddles_re[1], x6p7);
        let m0409b = SseVector::mul(self.twiddles_im[3], x1m12);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[4], x2m11);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[0], x3m10);
        let m0409b = SseVector::fmadd(m0409b, self.twiddles_im[2], x4m9);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[5], x5m8);
        let m0409b = SseVector::nmadd(m0409b, self.twiddles_im[1], x6m7);
        let [y04, y09] = SseVector::column_butterfly2([m0409a, m0409b]);

        let m0508a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p12);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[2], x2p11);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[1], x3p10);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[5], x4p9);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[0], x5p8);
        let m0508a = SseVector::fmadd(m0508a, self.twiddles_re[3], x6p7);
        let m0508b = SseVector::mul(self.twiddles_im[4], x1m12);
        let m0508b = SseVector::nmadd(m0508b, self.twiddles_im[2], x2m11);
        let m0508b = SseVector::fmadd(m0508b, self.twiddles_im[1], x3m10);
        let m0508b = SseVector::nmadd(m0508b, self.twiddles_im[5], x4m9);
        let m0508b = SseVector::nmadd(m0508b, self.twiddles_im[0], x5m8);
        let m0508b = SseVector::fmadd(m0508b, self.twiddles_im[3], x6m7);
        let [y05, y08] = SseVector::column_butterfly2([m0508a, m0508b]);

        let m0607a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p12);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[0], x2p11);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[4], x3p10);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[1], x4p9);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[3], x5p8);
        let m0607a = SseVector::fmadd(m0607a, self.twiddles_re[2], x6p7);
        let m0607b = SseVector::mul(self.twiddles_im[5], x1m12);
        let m0607b = SseVector::nmadd(m0607b, self.twiddles_im[0], x2m11);
        let m0607b = SseVector::fmadd(m0607b, self.twiddles_im[4], x3m10);
        let m0607b = SseVector::nmadd(m0607b, self.twiddles_im[1], x4m9);
        let m0607b = SseVector::fmadd(m0607b, self.twiddles_im[3], x5m8);
        let m0607b = SseVector::nmadd(m0607b, self.twiddles_im[2], x6m7);
        let [y06, y07] = SseVector::column_butterfly2([m0607a, m0607b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12]
    }
}

struct SseF32Butterfly17<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 8],
    twiddles_im: [__m128; 8],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly17, 17, |this: &SseF32Butterfly17<_>| this.direction);
impl<T: FftNum> SseF32Butterfly17<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(17, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[8]),
            extract_hi_lo_f32(input_packed[0], input_packed[9]),
            extract_lo_hi_f32(input_packed[1], input_packed[9]),
            extract_hi_lo_f32(input_packed[1], input_packed[10]),
            extract_lo_hi_f32(input_packed[2], input_packed[10]),
            extract_hi_lo_f32(input_packed[2], input_packed[11]),
            extract_lo_hi_f32(input_packed[3], input_packed[11]),
            extract_hi_lo_f32(input_packed[3], input_packed[12]),
            extract_lo_hi_f32(input_packed[4], input_packed[12]),
            extract_hi_lo_f32(input_packed[4], input_packed[13]),
            extract_lo_hi_f32(input_packed[5], input_packed[13]),
            extract_hi_lo_f32(input_packed[5], input_packed[14]),
            extract_lo_hi_f32(input_packed[6], input_packed[14]),
            extract_hi_lo_f32(input_packed[6], input_packed[15]),
            extract_lo_hi_f32(input_packed[7], input_packed[15]),
            extract_hi_lo_f32(input_packed[7], input_packed[16]),
            extract_lo_hi_f32(input_packed[8], input_packed[16]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_lo_f32(out[10], out[11]),
            extract_lo_lo_f32(out[12], out[13]),
            extract_lo_lo_f32(out[14], out[15]),
            extract_lo_hi_f32(out[16], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
            extract_hi_hi_f32(out[11], out[12]),
            extract_hi_hi_f32(out[13], out[14]),
            extract_hi_hi_f32(out[15], out[16]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 17]) -> [__m128; 17] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p16, x1m16] =  SseVector::column_butterfly2([values[1], values[16]]);
        let x1m16 = SseVector::apply_rotate90(rotate, x1m16);
        let y00 = SseVector::add(y00, x1p16);
        let [x2p15, x2m15] =  SseVector::column_butterfly2([values[2], values[15]]);
        let x2m15 = SseVector::apply_rotate90(rotate, x2m15);
        let y00 = SseVector::add(y00, x2p15);
        let [x3p14, x3m14] =  SseVector::column_butterfly2([values[3], values[14]]);
        let x3m14 = SseVector::apply_rotate90(rotate, x3m14);
        let y00 = SseVector::add(y00, x3p14);
        let [x4p13, x4m13] =  SseVector::column_butterfly2([values[4], values[13]]);
        let x4m13 = SseVector::apply_rotate90(rotate, x4m13);
        let y00 = SseVector::add(y00, x4p13);
        let [x5p12, x5m12] =  SseVector::column_butterfly2([values[5], values[12]]);
        let x5m12 = SseVector::apply_rotate90(rotate, x5m12);
        let y00 = SseVector::add(y00, x5p12);
        let [x6p11, x6m11] =  SseVector::column_butterfly2([values[6], values[11]]);
        let x6m11 = SseVector::apply_rotate90(rotate, x6m11);
        let y00 = SseVector::add(y00, x6p11);
        let [x7p10, x7m10] =  SseVector::column_butterfly2([values[7], values[10]]);
        let x7m10 = SseVector::apply_rotate90(rotate, x7m10);
        let y00 = SseVector::add(y00, x7p10);
        let [x8p9, x8m9] =  SseVector::column_butterfly2([values[8], values[9]]);
        let x8m9 = SseVector::apply_rotate90(rotate, x8m9);
        let y00 = SseVector::add(y00, x8p9);

        let m0116a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p16);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[1], x2p15);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[2], x3p14);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[3], x4p13);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[4], x5p12);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[5], x6p11);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[6], x7p10);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[7], x8p9);
        let m0116b = SseVector::mul(self.twiddles_im[0], x1m16);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[1], x2m15);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[2], x3m14);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[3], x4m13);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[4], x5m12);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[5], x6m11);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[6], x7m10);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[7], x8m9);
        let [y01, y16] = SseVector::column_butterfly2([m0116a, m0116b]);

        let m0215a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p16);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[3], x2p15);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[5], x3p14);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[7], x4p13);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[6], x5p12);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[4], x6p11);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[2], x7p10);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[0], x8p9);
        let m0215b = SseVector::mul(self.twiddles_im[1], x1m16);
        let m0215b = SseVector::fmadd(m0215b, self.twiddles_im[3], x2m15);
        let m0215b = SseVector::fmadd(m0215b, self.twiddles_im[5], x3m14);
        let m0215b = SseVector::fmadd(m0215b, self.twiddles_im[7], x4m13);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[6], x5m12);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[4], x6m11);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[2], x7m10);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[0], x8m9);
        let [y02, y15] = SseVector::column_butterfly2([m0215a, m0215b]);

        let m0314a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p16);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[5], x2p15);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[7], x3p14);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[4], x4p13);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[1], x5p12);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[0], x6p11);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[3], x7p10);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[6], x8p9);
        let m0314b = SseVector::mul(self.twiddles_im[2], x1m16);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[5], x2m15);
        let m0314b = SseVector::nmadd(m0314b, self.twiddles_im[7], x3m14);
        let m0314b = SseVector::nmadd(m0314b, self.twiddles_im[4], x4m13);
        let m0314b = SseVector::nmadd(m0314b, self.twiddles_im[1], x5m12);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[0], x6m11);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[3], x7m10);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[6], x8m9);
        let [y03, y14] = SseVector::column_butterfly2([m0314a, m0314b]);

        let m0413a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p16);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[7], x2p15);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[4], x3p14);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[0], x4p13);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[2], x5p12);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[6], x6p11);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[5], x7p10);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[1], x8p9);
        let m0413b = SseVector::mul(self.twiddles_im[3], x1m16);
        let m0413b = SseVector::fmadd(m0413b, self.twiddles_im[7], x2m15);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[4], x3m14);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[0], x4m13);
        let m0413b = SseVector::fmadd(m0413b, self.twiddles_im[2], x5m12);
        let m0413b = SseVector::fmadd(m0413b, self.twiddles_im[6], x6m11);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[5], x7m10);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[1], x8m9);
        let [y04, y13] = SseVector::column_butterfly2([m0413a, m0413b]);

        let m0512a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p16);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[6], x2p15);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[1], x3p14);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[2], x4p13);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[7], x5p12);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[3], x6p11);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[0], x7p10);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[5], x8p9);
        let m0512b = SseVector::mul(self.twiddles_im[4], x1m16);
        let m0512b = SseVector::nmadd(m0512b, self.twiddles_im[6], x2m15);
        let m0512b = SseVector::nmadd(m0512b, self.twiddles_im[1], x3m14);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[2], x4m13);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[7], x5m12);
        let m0512b = SseVector::nmadd(m0512b, self.twiddles_im[3], x6m11);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[0], x7m10);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[5], x8m9);
        let [y05, y12] = SseVector::column_butterfly2([m0512a, m0512b]);

        let m0611a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p16);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[4], x2p15);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[0], x3p14);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[6], x4p13);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[3], x5p12);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[1], x6p11);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[7], x7p10);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[2], x8p9);
        let m0611b = SseVector::mul(self.twiddles_im[5], x1m16);
        let m0611b = SseVector::nmadd(m0611b, self.twiddles_im[4], x2m15);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[0], x3m14);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[6], x4m13);
        let m0611b = SseVector::nmadd(m0611b, self.twiddles_im[3], x5m12);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[1], x6m11);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[7], x7m10);
        let m0611b = SseVector::nmadd(m0611b, self.twiddles_im[2], x8m9);
        let [y06, y11] = SseVector::column_butterfly2([m0611a, m0611b]);

        let m0710a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p16);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[2], x2p15);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[3], x3p14);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[5], x4p13);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[0], x5p12);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[7], x6p11);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[1], x7p10);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[4], x8p9);
        let m0710b = SseVector::mul(self.twiddles_im[6], x1m16);
        let m0710b = SseVector::nmadd(m0710b, self.twiddles_im[2], x2m15);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[3], x3m14);
        let m0710b = SseVector::nmadd(m0710b, self.twiddles_im[5], x4m13);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[0], x5m12);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[7], x6m11);
        let m0710b = SseVector::nmadd(m0710b, self.twiddles_im[1], x7m10);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[4], x8m9);
        let [y07, y10] = SseVector::column_butterfly2([m0710a, m0710b]);

        let m0809a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p16);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[0], x2p15);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[6], x3p14);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[1], x4p13);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[5], x5p12);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[2], x6p11);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[4], x7p10);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[3], x8p9);
        let m0809b = SseVector::mul(self.twiddles_im[7], x1m16);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[0], x2m15);
        let m0809b = SseVector::fmadd(m0809b, self.twiddles_im[6], x3m14);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[1], x4m13);
        let m0809b = SseVector::fmadd(m0809b, self.twiddles_im[5], x5m12);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[2], x6m11);
        let m0809b = SseVector::fmadd(m0809b, self.twiddles_im[4], x7m10);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[3], x8m9);
        let [y08, y09] = SseVector::column_butterfly2([m0809a, m0809b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16]
    }
}

struct SseF64Butterfly17<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 8],
    twiddles_im: [__m128d; 8],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly17, 17, |this: &SseF64Butterfly17<_>| this.direction);
impl<T: FftNum> SseF64Butterfly17<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(17, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 17]) -> [__m128d; 17] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p16, x1m16] =  SseVector::column_butterfly2([values[1], values[16]]);
        let x1m16 = SseVector::apply_rotate90(rotate, x1m16);
        let y00 = SseVector::add(y00, x1p16);
        let [x2p15, x2m15] =  SseVector::column_butterfly2([values[2], values[15]]);
        let x2m15 = SseVector::apply_rotate90(rotate, x2m15);
        let y00 = SseVector::add(y00, x2p15);
        let [x3p14, x3m14] =  SseVector::column_butterfly2([values[3], values[14]]);
        let x3m14 = SseVector::apply_rotate90(rotate, x3m14);
        let y00 = SseVector::add(y00, x3p14);
        let [x4p13, x4m13] =  SseVector::column_butterfly2([values[4], values[13]]);
        let x4m13 = SseVector::apply_rotate90(rotate, x4m13);
        let y00 = SseVector::add(y00, x4p13);
        let [x5p12, x5m12] =  SseVector::column_butterfly2([values[5], values[12]]);
        let x5m12 = SseVector::apply_rotate90(rotate, x5m12);
        let y00 = SseVector::add(y00, x5p12);
        let [x6p11, x6m11] =  SseVector::column_butterfly2([values[6], values[11]]);
        let x6m11 = SseVector::apply_rotate90(rotate, x6m11);
        let y00 = SseVector::add(y00, x6p11);
        let [x7p10, x7m10] =  SseVector::column_butterfly2([values[7], values[10]]);
        let x7m10 = SseVector::apply_rotate90(rotate, x7m10);
        let y00 = SseVector::add(y00, x7p10);
        let [x8p9, x8m9] =  SseVector::column_butterfly2([values[8], values[9]]);
        let x8m9 = SseVector::apply_rotate90(rotate, x8m9);
        let y00 = SseVector::add(y00, x8p9);

        let m0116a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p16);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[1], x2p15);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[2], x3p14);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[3], x4p13);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[4], x5p12);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[5], x6p11);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[6], x7p10);
        let m0116a = SseVector::fmadd(m0116a, self.twiddles_re[7], x8p9);
        let m0116b = SseVector::mul(self.twiddles_im[0], x1m16);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[1], x2m15);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[2], x3m14);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[3], x4m13);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[4], x5m12);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[5], x6m11);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[6], x7m10);
        let m0116b = SseVector::fmadd(m0116b, self.twiddles_im[7], x8m9);
        let [y01, y16] = SseVector::column_butterfly2([m0116a, m0116b]);

        let m0215a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p16);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[3], x2p15);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[5], x3p14);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[7], x4p13);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[6], x5p12);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[4], x6p11);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[2], x7p10);
        let m0215a = SseVector::fmadd(m0215a, self.twiddles_re[0], x8p9);
        let m0215b = SseVector::mul(self.twiddles_im[1], x1m16);
        let m0215b = SseVector::fmadd(m0215b, self.twiddles_im[3], x2m15);
        let m0215b = SseVector::fmadd(m0215b, self.twiddles_im[5], x3m14);
        let m0215b = SseVector::fmadd(m0215b, self.twiddles_im[7], x4m13);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[6], x5m12);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[4], x6m11);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[2], x7m10);
        let m0215b = SseVector::nmadd(m0215b, self.twiddles_im[0], x8m9);
        let [y02, y15] = SseVector::column_butterfly2([m0215a, m0215b]);

        let m0314a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p16);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[5], x2p15);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[7], x3p14);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[4], x4p13);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[1], x5p12);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[0], x6p11);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[3], x7p10);
        let m0314a = SseVector::fmadd(m0314a, self.twiddles_re[6], x8p9);
        let m0314b = SseVector::mul(self.twiddles_im[2], x1m16);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[5], x2m15);
        let m0314b = SseVector::nmadd(m0314b, self.twiddles_im[7], x3m14);
        let m0314b = SseVector::nmadd(m0314b, self.twiddles_im[4], x4m13);
        let m0314b = SseVector::nmadd(m0314b, self.twiddles_im[1], x5m12);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[0], x6m11);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[3], x7m10);
        let m0314b = SseVector::fmadd(m0314b, self.twiddles_im[6], x8m9);
        let [y03, y14] = SseVector::column_butterfly2([m0314a, m0314b]);

        let m0413a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p16);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[7], x2p15);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[4], x3p14);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[0], x4p13);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[2], x5p12);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[6], x6p11);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[5], x7p10);
        let m0413a = SseVector::fmadd(m0413a, self.twiddles_re[1], x8p9);
        let m0413b = SseVector::mul(self.twiddles_im[3], x1m16);
        let m0413b = SseVector::fmadd(m0413b, self.twiddles_im[7], x2m15);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[4], x3m14);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[0], x4m13);
        let m0413b = SseVector::fmadd(m0413b, self.twiddles_im[2], x5m12);
        let m0413b = SseVector::fmadd(m0413b, self.twiddles_im[6], x6m11);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[5], x7m10);
        let m0413b = SseVector::nmadd(m0413b, self.twiddles_im[1], x8m9);
        let [y04, y13] = SseVector::column_butterfly2([m0413a, m0413b]);

        let m0512a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p16);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[6], x2p15);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[1], x3p14);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[2], x4p13);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[7], x5p12);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[3], x6p11);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[0], x7p10);
        let m0512a = SseVector::fmadd(m0512a, self.twiddles_re[5], x8p9);
        let m0512b = SseVector::mul(self.twiddles_im[4], x1m16);
        let m0512b = SseVector::nmadd(m0512b, self.twiddles_im[6], x2m15);
        let m0512b = SseVector::nmadd(m0512b, self.twiddles_im[1], x3m14);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[2], x4m13);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[7], x5m12);
        let m0512b = SseVector::nmadd(m0512b, self.twiddles_im[3], x6m11);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[0], x7m10);
        let m0512b = SseVector::fmadd(m0512b, self.twiddles_im[5], x8m9);
        let [y05, y12] = SseVector::column_butterfly2([m0512a, m0512b]);

        let m0611a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p16);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[4], x2p15);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[0], x3p14);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[6], x4p13);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[3], x5p12);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[1], x6p11);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[7], x7p10);
        let m0611a = SseVector::fmadd(m0611a, self.twiddles_re[2], x8p9);
        let m0611b = SseVector::mul(self.twiddles_im[5], x1m16);
        let m0611b = SseVector::nmadd(m0611b, self.twiddles_im[4], x2m15);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[0], x3m14);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[6], x4m13);
        let m0611b = SseVector::nmadd(m0611b, self.twiddles_im[3], x5m12);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[1], x6m11);
        let m0611b = SseVector::fmadd(m0611b, self.twiddles_im[7], x7m10);
        let m0611b = SseVector::nmadd(m0611b, self.twiddles_im[2], x8m9);
        let [y06, y11] = SseVector::column_butterfly2([m0611a, m0611b]);

        let m0710a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p16);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[2], x2p15);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[3], x3p14);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[5], x4p13);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[0], x5p12);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[7], x6p11);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[1], x7p10);
        let m0710a = SseVector::fmadd(m0710a, self.twiddles_re[4], x8p9);
        let m0710b = SseVector::mul(self.twiddles_im[6], x1m16);
        let m0710b = SseVector::nmadd(m0710b, self.twiddles_im[2], x2m15);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[3], x3m14);
        let m0710b = SseVector::nmadd(m0710b, self.twiddles_im[5], x4m13);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[0], x5m12);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[7], x6m11);
        let m0710b = SseVector::nmadd(m0710b, self.twiddles_im[1], x7m10);
        let m0710b = SseVector::fmadd(m0710b, self.twiddles_im[4], x8m9);
        let [y07, y10] = SseVector::column_butterfly2([m0710a, m0710b]);

        let m0809a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p16);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[0], x2p15);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[6], x3p14);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[1], x4p13);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[5], x5p12);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[2], x6p11);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[4], x7p10);
        let m0809a = SseVector::fmadd(m0809a, self.twiddles_re[3], x8p9);
        let m0809b = SseVector::mul(self.twiddles_im[7], x1m16);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[0], x2m15);
        let m0809b = SseVector::fmadd(m0809b, self.twiddles_im[6], x3m14);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[1], x4m13);
        let m0809b = SseVector::fmadd(m0809b, self.twiddles_im[5], x5m12);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[2], x6m11);
        let m0809b = SseVector::fmadd(m0809b, self.twiddles_im[4], x7m10);
        let m0809b = SseVector::nmadd(m0809b, self.twiddles_im[3], x8m9);
        let [y08, y09] = SseVector::column_butterfly2([m0809a, m0809b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16]
    }
}

struct SseF32Butterfly19<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 9],
    twiddles_im: [__m128; 9],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly19, 19, |this: &SseF32Butterfly19<_>| this.direction);
impl<T: FftNum> SseF32Butterfly19<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(19, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[9]),
            extract_hi_lo_f32(input_packed[0], input_packed[10]),
            extract_lo_hi_f32(input_packed[1], input_packed[10]),
            extract_hi_lo_f32(input_packed[1], input_packed[11]),
            extract_lo_hi_f32(input_packed[2], input_packed[11]),
            extract_hi_lo_f32(input_packed[2], input_packed[12]),
            extract_lo_hi_f32(input_packed[3], input_packed[12]),
            extract_hi_lo_f32(input_packed[3], input_packed[13]),
            extract_lo_hi_f32(input_packed[4], input_packed[13]),
            extract_hi_lo_f32(input_packed[4], input_packed[14]),
            extract_lo_hi_f32(input_packed[5], input_packed[14]),
            extract_hi_lo_f32(input_packed[5], input_packed[15]),
            extract_lo_hi_f32(input_packed[6], input_packed[15]),
            extract_hi_lo_f32(input_packed[6], input_packed[16]),
            extract_lo_hi_f32(input_packed[7], input_packed[16]),
            extract_hi_lo_f32(input_packed[7], input_packed[17]),
            extract_lo_hi_f32(input_packed[8], input_packed[17]),
            extract_hi_lo_f32(input_packed[8], input_packed[18]),
            extract_lo_hi_f32(input_packed[9], input_packed[18]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_lo_f32(out[10], out[11]),
            extract_lo_lo_f32(out[12], out[13]),
            extract_lo_lo_f32(out[14], out[15]),
            extract_lo_lo_f32(out[16], out[17]),
            extract_lo_hi_f32(out[18], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
            extract_hi_hi_f32(out[11], out[12]),
            extract_hi_hi_f32(out[13], out[14]),
            extract_hi_hi_f32(out[15], out[16]),
            extract_hi_hi_f32(out[17], out[18]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 19]) -> [__m128; 19] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p18, x1m18] =  SseVector::column_butterfly2([values[1], values[18]]);
        let x1m18 = SseVector::apply_rotate90(rotate, x1m18);
        let y00 = SseVector::add(y00, x1p18);
        let [x2p17, x2m17] =  SseVector::column_butterfly2([values[2], values[17]]);
        let x2m17 = SseVector::apply_rotate90(rotate, x2m17);
        let y00 = SseVector::add(y00, x2p17);
        let [x3p16, x3m16] =  SseVector::column_butterfly2([values[3], values[16]]);
        let x3m16 = SseVector::apply_rotate90(rotate, x3m16);
        let y00 = SseVector::add(y00, x3p16);
        let [x4p15, x4m15] =  SseVector::column_butterfly2([values[4], values[15]]);
        let x4m15 = SseVector::apply_rotate90(rotate, x4m15);
        let y00 = SseVector::add(y00, x4p15);
        let [x5p14, x5m14] =  SseVector::column_butterfly2([values[5], values[14]]);
        let x5m14 = SseVector::apply_rotate90(rotate, x5m14);
        let y00 = SseVector::add(y00, x5p14);
        let [x6p13, x6m13] =  SseVector::column_butterfly2([values[6], values[13]]);
        let x6m13 = SseVector::apply_rotate90(rotate, x6m13);
        let y00 = SseVector::add(y00, x6p13);
        let [x7p12, x7m12] =  SseVector::column_butterfly2([values[7], values[12]]);
        let x7m12 = SseVector::apply_rotate90(rotate, x7m12);
        let y00 = SseVector::add(y00, x7p12);
        let [x8p11, x8m11] =  SseVector::column_butterfly2([values[8], values[11]]);
        let x8m11 = SseVector::apply_rotate90(rotate, x8m11);
        let y00 = SseVector::add(y00, x8p11);
        let [x9p10, x9m10] =  SseVector::column_butterfly2([values[9], values[10]]);
        let x9m10 = SseVector::apply_rotate90(rotate, x9m10);
        let y00 = SseVector::add(y00, x9p10);

        let m0118a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p18);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[1], x2p17);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[2], x3p16);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[3], x4p15);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[4], x5p14);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[5], x6p13);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[6], x7p12);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[7], x8p11);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[8], x9p10);
        let m0118b = SseVector::mul(self.twiddles_im[0], x1m18);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[1], x2m17);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[2], x3m16);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[3], x4m15);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[4], x5m14);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[5], x6m13);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[6], x7m12);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[7], x8m11);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[8], x9m10);
        let [y01, y18] = SseVector::column_butterfly2([m0118a, m0118b]);

        let m0217a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p18);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[3], x2p17);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[5], x3p16);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[7], x4p15);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[8], x5p14);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[6], x6p13);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[4], x7p12);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[2], x8p11);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[0], x9p10);
        let m0217b = SseVector::mul(self.twiddles_im[1], x1m18);
        let m0217b = SseVector::fmadd(m0217b, self.twiddles_im[3], x2m17);
        let m0217b = SseVector::fmadd(m0217b, self.twiddles_im[5], x3m16);
        let m0217b = SseVector::fmadd(m0217b, self.twiddles_im[7], x4m15);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[8], x5m14);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[6], x6m13);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[4], x7m12);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[2], x8m11);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[0], x9m10);
        let [y02, y17] = SseVector::column_butterfly2([m0217a, m0217b]);

        let m0316a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p18);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[5], x2p17);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[8], x3p16);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[6], x4p15);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[3], x5p14);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[0], x6p13);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[1], x7p12);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[4], x8p11);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[7], x9p10);
        let m0316b = SseVector::mul(self.twiddles_im[2], x1m18);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[5], x2m17);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[8], x3m16);
        let m0316b = SseVector::nmadd(m0316b, self.twiddles_im[6], x4m15);
        let m0316b = SseVector::nmadd(m0316b, self.twiddles_im[3], x5m14);
        let m0316b = SseVector::nmadd(m0316b, self.twiddles_im[0], x6m13);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[1], x7m12);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[4], x8m11);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[7], x9m10);
        let [y03, y16] = SseVector::column_butterfly2([m0316a, m0316b]);

        let m0415a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p18);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[7], x2p17);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[6], x3p16);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[2], x4p15);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[0], x5p14);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[4], x6p13);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[8], x7p12);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[5], x8p11);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[1], x9p10);
        let m0415b = SseVector::mul(self.twiddles_im[3], x1m18);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[7], x2m17);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[6], x3m16);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[2], x4m15);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[0], x5m14);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[4], x6m13);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[8], x7m12);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[5], x8m11);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[1], x9m10);
        let [y04, y15] = SseVector::column_butterfly2([m0415a, m0415b]);

        let m0514a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p18);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[8], x2p17);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[3], x3p16);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[0], x4p15);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[5], x5p14);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[7], x6p13);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[2], x7p12);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[1], x8p11);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[6], x9p10);
        let m0514b = SseVector::mul(self.twiddles_im[4], x1m18);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[8], x2m17);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[3], x3m16);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[0], x4m15);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[5], x5m14);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[7], x6m13);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[2], x7m12);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[1], x8m11);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[6], x9m10);
        let [y05, y14] = SseVector::column_butterfly2([m0514a, m0514b]);

        let m0613a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p18);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[6], x2p17);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[0], x3p16);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[4], x4p15);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[7], x5p14);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[1], x6p13);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[3], x7p12);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[8], x8p11);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[2], x9p10);
        let m0613b = SseVector::mul(self.twiddles_im[5], x1m18);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[6], x2m17);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[0], x3m16);
        let m0613b = SseVector::fmadd(m0613b, self.twiddles_im[4], x4m15);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[7], x5m14);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[1], x6m13);
        let m0613b = SseVector::fmadd(m0613b, self.twiddles_im[3], x7m12);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[8], x8m11);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[2], x9m10);
        let [y06, y13] = SseVector::column_butterfly2([m0613a, m0613b]);

        let m0712a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p18);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[4], x2p17);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[1], x3p16);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[8], x4p15);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[2], x5p14);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[3], x6p13);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[7], x7p12);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[0], x8p11);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[5], x9p10);
        let m0712b = SseVector::mul(self.twiddles_im[6], x1m18);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[4], x2m17);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[1], x3m16);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[8], x4m15);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[2], x5m14);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[3], x6m13);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[7], x7m12);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[0], x8m11);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[5], x9m10);
        let [y07, y12] = SseVector::column_butterfly2([m0712a, m0712b]);

        let m0811a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p18);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[2], x2p17);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[4], x3p16);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[5], x4p15);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[1], x5p14);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[8], x6p13);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[0], x7p12);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[6], x8p11);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[3], x9p10);
        let m0811b = SseVector::mul(self.twiddles_im[7], x1m18);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[2], x2m17);
        let m0811b = SseVector::fmadd(m0811b, self.twiddles_im[4], x3m16);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[5], x4m15);
        let m0811b = SseVector::fmadd(m0811b, self.twiddles_im[1], x5m14);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[8], x6m13);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[0], x7m12);
        let m0811b = SseVector::fmadd(m0811b, self.twiddles_im[6], x8m11);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[3], x9m10);
        let [y08, y11] = SseVector::column_butterfly2([m0811a, m0811b]);

        let m0910a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p18);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[0], x2p17);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[7], x3p16);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[1], x4p15);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[6], x5p14);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[2], x6p13);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[5], x7p12);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[3], x8p11);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[4], x9p10);
        let m0910b = SseVector::mul(self.twiddles_im[8], x1m18);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[0], x2m17);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[7], x3m16);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[1], x4m15);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[6], x5m14);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[2], x6m13);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[5], x7m12);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[3], x8m11);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[4], x9m10);
        let [y09, y10] = SseVector::column_butterfly2([m0910a, m0910b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18]
    }
}

struct SseF64Butterfly19<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 9],
    twiddles_im: [__m128d; 9],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly19, 19, |this: &SseF64Butterfly19<_>| this.direction);
impl<T: FftNum> SseF64Butterfly19<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(19, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 19]) -> [__m128d; 19] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p18, x1m18] =  SseVector::column_butterfly2([values[1], values[18]]);
        let x1m18 = SseVector::apply_rotate90(rotate, x1m18);
        let y00 = SseVector::add(y00, x1p18);
        let [x2p17, x2m17] =  SseVector::column_butterfly2([values[2], values[17]]);
        let x2m17 = SseVector::apply_rotate90(rotate, x2m17);
        let y00 = SseVector::add(y00, x2p17);
        let [x3p16, x3m16] =  SseVector::column_butterfly2([values[3], values[16]]);
        let x3m16 = SseVector::apply_rotate90(rotate, x3m16);
        let y00 = SseVector::add(y00, x3p16);
        let [x4p15, x4m15] =  SseVector::column_butterfly2([values[4], values[15]]);
        let x4m15 = SseVector::apply_rotate90(rotate, x4m15);
        let y00 = SseVector::add(y00, x4p15);
        let [x5p14, x5m14] =  SseVector::column_butterfly2([values[5], values[14]]);
        let x5m14 = SseVector::apply_rotate90(rotate, x5m14);
        let y00 = SseVector::add(y00, x5p14);
        let [x6p13, x6m13] =  SseVector::column_butterfly2([values[6], values[13]]);
        let x6m13 = SseVector::apply_rotate90(rotate, x6m13);
        let y00 = SseVector::add(y00, x6p13);
        let [x7p12, x7m12] =  SseVector::column_butterfly2([values[7], values[12]]);
        let x7m12 = SseVector::apply_rotate90(rotate, x7m12);
        let y00 = SseVector::add(y00, x7p12);
        let [x8p11, x8m11] =  SseVector::column_butterfly2([values[8], values[11]]);
        let x8m11 = SseVector::apply_rotate90(rotate, x8m11);
        let y00 = SseVector::add(y00, x8p11);
        let [x9p10, x9m10] =  SseVector::column_butterfly2([values[9], values[10]]);
        let x9m10 = SseVector::apply_rotate90(rotate, x9m10);
        let y00 = SseVector::add(y00, x9p10);

        let m0118a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p18);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[1], x2p17);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[2], x3p16);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[3], x4p15);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[4], x5p14);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[5], x6p13);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[6], x7p12);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[7], x8p11);
        let m0118a = SseVector::fmadd(m0118a, self.twiddles_re[8], x9p10);
        let m0118b = SseVector::mul(self.twiddles_im[0], x1m18);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[1], x2m17);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[2], x3m16);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[3], x4m15);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[4], x5m14);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[5], x6m13);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[6], x7m12);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[7], x8m11);
        let m0118b = SseVector::fmadd(m0118b, self.twiddles_im[8], x9m10);
        let [y01, y18] = SseVector::column_butterfly2([m0118a, m0118b]);

        let m0217a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p18);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[3], x2p17);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[5], x3p16);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[7], x4p15);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[8], x5p14);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[6], x6p13);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[4], x7p12);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[2], x8p11);
        let m0217a = SseVector::fmadd(m0217a, self.twiddles_re[0], x9p10);
        let m0217b = SseVector::mul(self.twiddles_im[1], x1m18);
        let m0217b = SseVector::fmadd(m0217b, self.twiddles_im[3], x2m17);
        let m0217b = SseVector::fmadd(m0217b, self.twiddles_im[5], x3m16);
        let m0217b = SseVector::fmadd(m0217b, self.twiddles_im[7], x4m15);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[8], x5m14);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[6], x6m13);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[4], x7m12);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[2], x8m11);
        let m0217b = SseVector::nmadd(m0217b, self.twiddles_im[0], x9m10);
        let [y02, y17] = SseVector::column_butterfly2([m0217a, m0217b]);

        let m0316a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p18);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[5], x2p17);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[8], x3p16);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[6], x4p15);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[3], x5p14);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[0], x6p13);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[1], x7p12);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[4], x8p11);
        let m0316a = SseVector::fmadd(m0316a, self.twiddles_re[7], x9p10);
        let m0316b = SseVector::mul(self.twiddles_im[2], x1m18);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[5], x2m17);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[8], x3m16);
        let m0316b = SseVector::nmadd(m0316b, self.twiddles_im[6], x4m15);
        let m0316b = SseVector::nmadd(m0316b, self.twiddles_im[3], x5m14);
        let m0316b = SseVector::nmadd(m0316b, self.twiddles_im[0], x6m13);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[1], x7m12);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[4], x8m11);
        let m0316b = SseVector::fmadd(m0316b, self.twiddles_im[7], x9m10);
        let [y03, y16] = SseVector::column_butterfly2([m0316a, m0316b]);

        let m0415a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p18);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[7], x2p17);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[6], x3p16);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[2], x4p15);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[0], x5p14);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[4], x6p13);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[8], x7p12);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[5], x8p11);
        let m0415a = SseVector::fmadd(m0415a, self.twiddles_re[1], x9p10);
        let m0415b = SseVector::mul(self.twiddles_im[3], x1m18);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[7], x2m17);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[6], x3m16);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[2], x4m15);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[0], x5m14);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[4], x6m13);
        let m0415b = SseVector::fmadd(m0415b, self.twiddles_im[8], x7m12);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[5], x8m11);
        let m0415b = SseVector::nmadd(m0415b, self.twiddles_im[1], x9m10);
        let [y04, y15] = SseVector::column_butterfly2([m0415a, m0415b]);

        let m0514a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p18);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[8], x2p17);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[3], x3p16);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[0], x4p15);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[5], x5p14);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[7], x6p13);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[2], x7p12);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[1], x8p11);
        let m0514a = SseVector::fmadd(m0514a, self.twiddles_re[6], x9p10);
        let m0514b = SseVector::mul(self.twiddles_im[4], x1m18);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[8], x2m17);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[3], x3m16);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[0], x4m15);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[5], x5m14);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[7], x6m13);
        let m0514b = SseVector::nmadd(m0514b, self.twiddles_im[2], x7m12);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[1], x8m11);
        let m0514b = SseVector::fmadd(m0514b, self.twiddles_im[6], x9m10);
        let [y05, y14] = SseVector::column_butterfly2([m0514a, m0514b]);

        let m0613a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p18);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[6], x2p17);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[0], x3p16);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[4], x4p15);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[7], x5p14);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[1], x6p13);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[3], x7p12);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[8], x8p11);
        let m0613a = SseVector::fmadd(m0613a, self.twiddles_re[2], x9p10);
        let m0613b = SseVector::mul(self.twiddles_im[5], x1m18);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[6], x2m17);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[0], x3m16);
        let m0613b = SseVector::fmadd(m0613b, self.twiddles_im[4], x4m15);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[7], x5m14);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[1], x6m13);
        let m0613b = SseVector::fmadd(m0613b, self.twiddles_im[3], x7m12);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[8], x8m11);
        let m0613b = SseVector::nmadd(m0613b, self.twiddles_im[2], x9m10);
        let [y06, y13] = SseVector::column_butterfly2([m0613a, m0613b]);

        let m0712a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p18);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[4], x2p17);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[1], x3p16);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[8], x4p15);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[2], x5p14);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[3], x6p13);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[7], x7p12);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[0], x8p11);
        let m0712a = SseVector::fmadd(m0712a, self.twiddles_re[5], x9p10);
        let m0712b = SseVector::mul(self.twiddles_im[6], x1m18);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[4], x2m17);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[1], x3m16);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[8], x4m15);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[2], x5m14);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[3], x6m13);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[7], x7m12);
        let m0712b = SseVector::nmadd(m0712b, self.twiddles_im[0], x8m11);
        let m0712b = SseVector::fmadd(m0712b, self.twiddles_im[5], x9m10);
        let [y07, y12] = SseVector::column_butterfly2([m0712a, m0712b]);

        let m0811a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p18);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[2], x2p17);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[4], x3p16);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[5], x4p15);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[1], x5p14);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[8], x6p13);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[0], x7p12);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[6], x8p11);
        let m0811a = SseVector::fmadd(m0811a, self.twiddles_re[3], x9p10);
        let m0811b = SseVector::mul(self.twiddles_im[7], x1m18);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[2], x2m17);
        let m0811b = SseVector::fmadd(m0811b, self.twiddles_im[4], x3m16);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[5], x4m15);
        let m0811b = SseVector::fmadd(m0811b, self.twiddles_im[1], x5m14);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[8], x6m13);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[0], x7m12);
        let m0811b = SseVector::fmadd(m0811b, self.twiddles_im[6], x8m11);
        let m0811b = SseVector::nmadd(m0811b, self.twiddles_im[3], x9m10);
        let [y08, y11] = SseVector::column_butterfly2([m0811a, m0811b]);

        let m0910a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p18);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[0], x2p17);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[7], x3p16);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[1], x4p15);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[6], x5p14);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[2], x6p13);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[5], x7p12);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[3], x8p11);
        let m0910a = SseVector::fmadd(m0910a, self.twiddles_re[4], x9p10);
        let m0910b = SseVector::mul(self.twiddles_im[8], x1m18);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[0], x2m17);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[7], x3m16);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[1], x4m15);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[6], x5m14);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[2], x6m13);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[5], x7m12);
        let m0910b = SseVector::nmadd(m0910b, self.twiddles_im[3], x8m11);
        let m0910b = SseVector::fmadd(m0910b, self.twiddles_im[4], x9m10);
        let [y09, y10] = SseVector::column_butterfly2([m0910a, m0910b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18]
    }
}

struct SseF32Butterfly23<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 11],
    twiddles_im: [__m128; 11],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly23, 23, |this: &SseF32Butterfly23<_>| this.direction);
impl<T: FftNum> SseF32Butterfly23<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(23, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[11]),
            extract_hi_lo_f32(input_packed[0], input_packed[12]),
            extract_lo_hi_f32(input_packed[1], input_packed[12]),
            extract_hi_lo_f32(input_packed[1], input_packed[13]),
            extract_lo_hi_f32(input_packed[2], input_packed[13]),
            extract_hi_lo_f32(input_packed[2], input_packed[14]),
            extract_lo_hi_f32(input_packed[3], input_packed[14]),
            extract_hi_lo_f32(input_packed[3], input_packed[15]),
            extract_lo_hi_f32(input_packed[4], input_packed[15]),
            extract_hi_lo_f32(input_packed[4], input_packed[16]),
            extract_lo_hi_f32(input_packed[5], input_packed[16]),
            extract_hi_lo_f32(input_packed[5], input_packed[17]),
            extract_lo_hi_f32(input_packed[6], input_packed[17]),
            extract_hi_lo_f32(input_packed[6], input_packed[18]),
            extract_lo_hi_f32(input_packed[7], input_packed[18]),
            extract_hi_lo_f32(input_packed[7], input_packed[19]),
            extract_lo_hi_f32(input_packed[8], input_packed[19]),
            extract_hi_lo_f32(input_packed[8], input_packed[20]),
            extract_lo_hi_f32(input_packed[9], input_packed[20]),
            extract_hi_lo_f32(input_packed[9], input_packed[21]),
            extract_lo_hi_f32(input_packed[10], input_packed[21]),
            extract_hi_lo_f32(input_packed[10], input_packed[22]),
            extract_lo_hi_f32(input_packed[11], input_packed[22]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_lo_f32(out[10], out[11]),
            extract_lo_lo_f32(out[12], out[13]),
            extract_lo_lo_f32(out[14], out[15]),
            extract_lo_lo_f32(out[16], out[17]),
            extract_lo_lo_f32(out[18], out[19]),
            extract_lo_lo_f32(out[20], out[21]),
            extract_lo_hi_f32(out[22], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
            extract_hi_hi_f32(out[11], out[12]),
            extract_hi_hi_f32(out[13], out[14]),
            extract_hi_hi_f32(out[15], out[16]),
            extract_hi_hi_f32(out[17], out[18]),
            extract_hi_hi_f32(out[19], out[20]),
            extract_hi_hi_f32(out[21], out[22]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 23]) -> [__m128; 23] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p22, x1m22] =  SseVector::column_butterfly2([values[1], values[22]]);
        let x1m22 = SseVector::apply_rotate90(rotate, x1m22);
        let y00 = SseVector::add(y00, x1p22);
        let [x2p21, x2m21] =  SseVector::column_butterfly2([values[2], values[21]]);
        let x2m21 = SseVector::apply_rotate90(rotate, x2m21);
        let y00 = SseVector::add(y00, x2p21);
        let [x3p20, x3m20] =  SseVector::column_butterfly2([values[3], values[20]]);
        let x3m20 = SseVector::apply_rotate90(rotate, x3m20);
        let y00 = SseVector::add(y00, x3p20);
        let [x4p19, x4m19] =  SseVector::column_butterfly2([values[4], values[19]]);
        let x4m19 = SseVector::apply_rotate90(rotate, x4m19);
        let y00 = SseVector::add(y00, x4p19);
        let [x5p18, x5m18] =  SseVector::column_butterfly2([values[5], values[18]]);
        let x5m18 = SseVector::apply_rotate90(rotate, x5m18);
        let y00 = SseVector::add(y00, x5p18);
        let [x6p17, x6m17] =  SseVector::column_butterfly2([values[6], values[17]]);
        let x6m17 = SseVector::apply_rotate90(rotate, x6m17);
        let y00 = SseVector::add(y00, x6p17);
        let [x7p16, x7m16] =  SseVector::column_butterfly2([values[7], values[16]]);
        let x7m16 = SseVector::apply_rotate90(rotate, x7m16);
        let y00 = SseVector::add(y00, x7p16);
        let [x8p15, x8m15] =  SseVector::column_butterfly2([values[8], values[15]]);
        let x8m15 = SseVector::apply_rotate90(rotate, x8m15);
        let y00 = SseVector::add(y00, x8p15);
        let [x9p14, x9m14] =  SseVector::column_butterfly2([values[9], values[14]]);
        let x9m14 = SseVector::apply_rotate90(rotate, x9m14);
        let y00 = SseVector::add(y00, x9p14);
        let [x10p13, x10m13] =  SseVector::column_butterfly2([values[10], values[13]]);
        let x10m13 = SseVector::apply_rotate90(rotate, x10m13);
        let y00 = SseVector::add(y00, x10p13);
        let [x11p12, x11m12] =  SseVector::column_butterfly2([values[11], values[12]]);
        let x11m12 = SseVector::apply_rotate90(rotate, x11m12);
        let y00 = SseVector::add(y00, x11p12);

        let m0122a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p22);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[1], x2p21);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[2], x3p20);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[3], x4p19);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[4], x5p18);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[5], x6p17);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[6], x7p16);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[7], x8p15);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[8], x9p14);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[9], x10p13);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[10], x11p12);
        let m0122b = SseVector::mul(self.twiddles_im[0], x1m22);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[1], x2m21);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[2], x3m20);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[3], x4m19);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[4], x5m18);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[5], x6m17);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[6], x7m16);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[7], x8m15);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[8], x9m14);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[9], x10m13);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[10], x11m12);
        let [y01, y22] = SseVector::column_butterfly2([m0122a, m0122b]);

        let m0221a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p22);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[3], x2p21);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[5], x3p20);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[7], x4p19);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[9], x5p18);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[10], x6p17);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[8], x7p16);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[6], x8p15);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[4], x9p14);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[2], x10p13);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[0], x11p12);
        let m0221b = SseVector::mul(self.twiddles_im[1], x1m22);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[3], x2m21);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[5], x3m20);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[7], x4m19);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[9], x5m18);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[10], x6m17);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[8], x7m16);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[6], x8m15);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[4], x9m14);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[2], x10m13);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[0], x11m12);
        let [y02, y21] = SseVector::column_butterfly2([m0221a, m0221b]);

        let m0320a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p22);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[5], x2p21);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[8], x3p20);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[10], x4p19);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[7], x5p18);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[4], x6p17);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[1], x7p16);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[0], x8p15);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[3], x9p14);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[6], x10p13);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[9], x11p12);
        let m0320b = SseVector::mul(self.twiddles_im[2], x1m22);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[5], x2m21);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[8], x3m20);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[10], x4m19);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[7], x5m18);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[4], x6m17);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[1], x7m16);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[0], x8m15);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[3], x9m14);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[6], x10m13);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[9], x11m12);
        let [y03, y20] = SseVector::column_butterfly2([m0320a, m0320b]);

        let m0419a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p22);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[7], x2p21);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[10], x3p20);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[6], x4p19);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[2], x5p18);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[0], x6p17);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[4], x7p16);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[8], x8p15);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[9], x9p14);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[5], x10p13);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[1], x11p12);
        let m0419b = SseVector::mul(self.twiddles_im[3], x1m22);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[7], x2m21);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[10], x3m20);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[6], x4m19);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[2], x5m18);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[0], x6m17);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[4], x7m16);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[8], x8m15);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[9], x9m14);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[5], x10m13);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[1], x11m12);
        let [y04, y19] = SseVector::column_butterfly2([m0419a, m0419b]);

        let m0518a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p22);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[9], x2p21);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[7], x3p20);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[2], x4p19);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[1], x5p18);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[6], x6p17);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[10], x7p16);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[5], x8p15);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[0], x9p14);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[3], x10p13);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[8], x11p12);
        let m0518b = SseVector::mul(self.twiddles_im[4], x1m22);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[9], x2m21);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[7], x3m20);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[2], x4m19);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[1], x5m18);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[6], x6m17);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[10], x7m16);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[5], x8m15);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[0], x9m14);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[3], x10m13);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[8], x11m12);
        let [y05, y18] = SseVector::column_butterfly2([m0518a, m0518b]);

        let m0617a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p22);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[10], x2p21);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[4], x3p20);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[0], x4p19);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[6], x5p18);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[9], x6p17);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[3], x7p16);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[1], x8p15);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[7], x9p14);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[8], x10p13);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[2], x11p12);
        let m0617b = SseVector::mul(self.twiddles_im[5], x1m22);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[10], x2m21);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[4], x3m20);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[0], x4m19);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[6], x5m18);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[9], x6m17);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[3], x7m16);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[1], x8m15);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[7], x9m14);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[8], x10m13);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[2], x11m12);
        let [y06, y17] = SseVector::column_butterfly2([m0617a, m0617b]);

        let m0716a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p22);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[8], x2p21);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[1], x3p20);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[4], x4p19);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[10], x5p18);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[3], x6p17);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[2], x7p16);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[9], x8p15);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[5], x9p14);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[0], x10p13);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[7], x11p12);
        let m0716b = SseVector::mul(self.twiddles_im[6], x1m22);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[8], x2m21);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[1], x3m20);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[4], x4m19);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[10], x5m18);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[3], x6m17);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[2], x7m16);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[9], x8m15);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[5], x9m14);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[0], x10m13);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[7], x11m12);
        let [y07, y16] = SseVector::column_butterfly2([m0716a, m0716b]);

        let m0815a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p22);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[6], x2p21);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[0], x3p20);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[8], x4p19);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[5], x5p18);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[1], x6p17);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[9], x7p16);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[4], x8p15);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[2], x9p14);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[10], x10p13);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[3], x11p12);
        let m0815b = SseVector::mul(self.twiddles_im[7], x1m22);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[6], x2m21);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[0], x3m20);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[8], x4m19);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[5], x5m18);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[1], x6m17);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[9], x7m16);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[4], x8m15);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[2], x9m14);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[10], x10m13);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[3], x11m12);
        let [y08, y15] = SseVector::column_butterfly2([m0815a, m0815b]);

        let m0914a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p22);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[4], x2p21);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[3], x3p20);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[9], x4p19);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[0], x5p18);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[7], x6p17);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[5], x7p16);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[2], x8p15);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[10], x9p14);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[1], x10p13);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[6], x11p12);
        let m0914b = SseVector::mul(self.twiddles_im[8], x1m22);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[4], x2m21);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[3], x3m20);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[9], x4m19);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[0], x5m18);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[7], x6m17);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[5], x7m16);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[2], x8m15);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[10], x9m14);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[1], x10m13);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[6], x11m12);
        let [y09, y14] = SseVector::column_butterfly2([m0914a, m0914b]);

        let m1013a = SseVector::fmadd(values[0], self.twiddles_re[9], x1p22);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[2], x2p21);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[6], x3p20);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[5], x4p19);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[3], x5p18);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[8], x6p17);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[0], x7p16);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[10], x8p15);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[1], x9p14);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[7], x10p13);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[4], x11p12);
        let m1013b = SseVector::mul(self.twiddles_im[9], x1m22);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[2], x2m21);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[6], x3m20);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[5], x4m19);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[3], x5m18);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[8], x6m17);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[0], x7m16);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[10], x8m15);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[1], x9m14);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[7], x10m13);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[4], x11m12);
        let [y10, y13] = SseVector::column_butterfly2([m1013a, m1013b]);

        let m1112a = SseVector::fmadd(values[0], self.twiddles_re[10], x1p22);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[0], x2p21);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[9], x3p20);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[1], x4p19);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[8], x5p18);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[2], x6p17);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[7], x7p16);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[3], x8p15);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[6], x9p14);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[4], x10p13);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[5], x11p12);
        let m1112b = SseVector::mul(self.twiddles_im[10], x1m22);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[0], x2m21);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[9], x3m20);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[1], x4m19);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[8], x5m18);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[2], x6m17);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[7], x7m16);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[3], x8m15);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[6], x9m14);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[4], x10m13);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[5], x11m12);
        let [y11, y12] = SseVector::column_butterfly2([m1112a, m1112b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20, y21, y22]
    }
}

struct SseF64Butterfly23<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 11],
    twiddles_im: [__m128d; 11],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly23, 23, |this: &SseF64Butterfly23<_>| this.direction);
impl<T: FftNum> SseF64Butterfly23<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(23, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 23]) -> [__m128d; 23] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p22, x1m22] =  SseVector::column_butterfly2([values[1], values[22]]);
        let x1m22 = SseVector::apply_rotate90(rotate, x1m22);
        let y00 = SseVector::add(y00, x1p22);
        let [x2p21, x2m21] =  SseVector::column_butterfly2([values[2], values[21]]);
        let x2m21 = SseVector::apply_rotate90(rotate, x2m21);
        let y00 = SseVector::add(y00, x2p21);
        let [x3p20, x3m20] =  SseVector::column_butterfly2([values[3], values[20]]);
        let x3m20 = SseVector::apply_rotate90(rotate, x3m20);
        let y00 = SseVector::add(y00, x3p20);
        let [x4p19, x4m19] =  SseVector::column_butterfly2([values[4], values[19]]);
        let x4m19 = SseVector::apply_rotate90(rotate, x4m19);
        let y00 = SseVector::add(y00, x4p19);
        let [x5p18, x5m18] =  SseVector::column_butterfly2([values[5], values[18]]);
        let x5m18 = SseVector::apply_rotate90(rotate, x5m18);
        let y00 = SseVector::add(y00, x5p18);
        let [x6p17, x6m17] =  SseVector::column_butterfly2([values[6], values[17]]);
        let x6m17 = SseVector::apply_rotate90(rotate, x6m17);
        let y00 = SseVector::add(y00, x6p17);
        let [x7p16, x7m16] =  SseVector::column_butterfly2([values[7], values[16]]);
        let x7m16 = SseVector::apply_rotate90(rotate, x7m16);
        let y00 = SseVector::add(y00, x7p16);
        let [x8p15, x8m15] =  SseVector::column_butterfly2([values[8], values[15]]);
        let x8m15 = SseVector::apply_rotate90(rotate, x8m15);
        let y00 = SseVector::add(y00, x8p15);
        let [x9p14, x9m14] =  SseVector::column_butterfly2([values[9], values[14]]);
        let x9m14 = SseVector::apply_rotate90(rotate, x9m14);
        let y00 = SseVector::add(y00, x9p14);
        let [x10p13, x10m13] =  SseVector::column_butterfly2([values[10], values[13]]);
        let x10m13 = SseVector::apply_rotate90(rotate, x10m13);
        let y00 = SseVector::add(y00, x10p13);
        let [x11p12, x11m12] =  SseVector::column_butterfly2([values[11], values[12]]);
        let x11m12 = SseVector::apply_rotate90(rotate, x11m12);
        let y00 = SseVector::add(y00, x11p12);

        let m0122a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p22);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[1], x2p21);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[2], x3p20);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[3], x4p19);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[4], x5p18);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[5], x6p17);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[6], x7p16);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[7], x8p15);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[8], x9p14);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[9], x10p13);
        let m0122a = SseVector::fmadd(m0122a, self.twiddles_re[10], x11p12);
        let m0122b = SseVector::mul(self.twiddles_im[0], x1m22);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[1], x2m21);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[2], x3m20);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[3], x4m19);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[4], x5m18);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[5], x6m17);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[6], x7m16);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[7], x8m15);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[8], x9m14);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[9], x10m13);
        let m0122b = SseVector::fmadd(m0122b, self.twiddles_im[10], x11m12);
        let [y01, y22] = SseVector::column_butterfly2([m0122a, m0122b]);

        let m0221a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p22);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[3], x2p21);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[5], x3p20);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[7], x4p19);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[9], x5p18);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[10], x6p17);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[8], x7p16);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[6], x8p15);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[4], x9p14);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[2], x10p13);
        let m0221a = SseVector::fmadd(m0221a, self.twiddles_re[0], x11p12);
        let m0221b = SseVector::mul(self.twiddles_im[1], x1m22);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[3], x2m21);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[5], x3m20);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[7], x4m19);
        let m0221b = SseVector::fmadd(m0221b, self.twiddles_im[9], x5m18);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[10], x6m17);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[8], x7m16);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[6], x8m15);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[4], x9m14);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[2], x10m13);
        let m0221b = SseVector::nmadd(m0221b, self.twiddles_im[0], x11m12);
        let [y02, y21] = SseVector::column_butterfly2([m0221a, m0221b]);

        let m0320a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p22);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[5], x2p21);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[8], x3p20);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[10], x4p19);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[7], x5p18);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[4], x6p17);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[1], x7p16);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[0], x8p15);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[3], x9p14);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[6], x10p13);
        let m0320a = SseVector::fmadd(m0320a, self.twiddles_re[9], x11p12);
        let m0320b = SseVector::mul(self.twiddles_im[2], x1m22);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[5], x2m21);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[8], x3m20);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[10], x4m19);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[7], x5m18);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[4], x6m17);
        let m0320b = SseVector::nmadd(m0320b, self.twiddles_im[1], x7m16);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[0], x8m15);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[3], x9m14);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[6], x10m13);
        let m0320b = SseVector::fmadd(m0320b, self.twiddles_im[9], x11m12);
        let [y03, y20] = SseVector::column_butterfly2([m0320a, m0320b]);

        let m0419a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p22);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[7], x2p21);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[10], x3p20);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[6], x4p19);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[2], x5p18);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[0], x6p17);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[4], x7p16);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[8], x8p15);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[9], x9p14);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[5], x10p13);
        let m0419a = SseVector::fmadd(m0419a, self.twiddles_re[1], x11p12);
        let m0419b = SseVector::mul(self.twiddles_im[3], x1m22);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[7], x2m21);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[10], x3m20);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[6], x4m19);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[2], x5m18);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[0], x6m17);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[4], x7m16);
        let m0419b = SseVector::fmadd(m0419b, self.twiddles_im[8], x8m15);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[9], x9m14);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[5], x10m13);
        let m0419b = SseVector::nmadd(m0419b, self.twiddles_im[1], x11m12);
        let [y04, y19] = SseVector::column_butterfly2([m0419a, m0419b]);

        let m0518a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p22);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[9], x2p21);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[7], x3p20);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[2], x4p19);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[1], x5p18);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[6], x6p17);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[10], x7p16);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[5], x8p15);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[0], x9p14);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[3], x10p13);
        let m0518a = SseVector::fmadd(m0518a, self.twiddles_re[8], x11p12);
        let m0518b = SseVector::mul(self.twiddles_im[4], x1m22);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[9], x2m21);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[7], x3m20);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[2], x4m19);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[1], x5m18);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[6], x6m17);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[10], x7m16);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[5], x8m15);
        let m0518b = SseVector::nmadd(m0518b, self.twiddles_im[0], x9m14);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[3], x10m13);
        let m0518b = SseVector::fmadd(m0518b, self.twiddles_im[8], x11m12);
        let [y05, y18] = SseVector::column_butterfly2([m0518a, m0518b]);

        let m0617a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p22);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[10], x2p21);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[4], x3p20);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[0], x4p19);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[6], x5p18);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[9], x6p17);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[3], x7p16);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[1], x8p15);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[7], x9p14);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[8], x10p13);
        let m0617a = SseVector::fmadd(m0617a, self.twiddles_re[2], x11p12);
        let m0617b = SseVector::mul(self.twiddles_im[5], x1m22);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[10], x2m21);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[4], x3m20);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[0], x4m19);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[6], x5m18);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[9], x6m17);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[3], x7m16);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[1], x8m15);
        let m0617b = SseVector::fmadd(m0617b, self.twiddles_im[7], x9m14);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[8], x10m13);
        let m0617b = SseVector::nmadd(m0617b, self.twiddles_im[2], x11m12);
        let [y06, y17] = SseVector::column_butterfly2([m0617a, m0617b]);

        let m0716a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p22);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[8], x2p21);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[1], x3p20);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[4], x4p19);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[10], x5p18);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[3], x6p17);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[2], x7p16);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[9], x8p15);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[5], x9p14);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[0], x10p13);
        let m0716a = SseVector::fmadd(m0716a, self.twiddles_re[7], x11p12);
        let m0716b = SseVector::mul(self.twiddles_im[6], x1m22);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[8], x2m21);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[1], x3m20);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[4], x4m19);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[10], x5m18);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[3], x6m17);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[2], x7m16);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[9], x8m15);
        let m0716b = SseVector::nmadd(m0716b, self.twiddles_im[5], x9m14);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[0], x10m13);
        let m0716b = SseVector::fmadd(m0716b, self.twiddles_im[7], x11m12);
        let [y07, y16] = SseVector::column_butterfly2([m0716a, m0716b]);

        let m0815a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p22);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[6], x2p21);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[0], x3p20);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[8], x4p19);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[5], x5p18);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[1], x6p17);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[9], x7p16);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[4], x8p15);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[2], x9p14);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[10], x10p13);
        let m0815a = SseVector::fmadd(m0815a, self.twiddles_re[3], x11p12);
        let m0815b = SseVector::mul(self.twiddles_im[7], x1m22);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[6], x2m21);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[0], x3m20);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[8], x4m19);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[5], x5m18);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[1], x6m17);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[9], x7m16);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[4], x8m15);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[2], x9m14);
        let m0815b = SseVector::fmadd(m0815b, self.twiddles_im[10], x10m13);
        let m0815b = SseVector::nmadd(m0815b, self.twiddles_im[3], x11m12);
        let [y08, y15] = SseVector::column_butterfly2([m0815a, m0815b]);

        let m0914a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p22);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[4], x2p21);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[3], x3p20);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[9], x4p19);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[0], x5p18);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[7], x6p17);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[5], x7p16);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[2], x8p15);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[10], x9p14);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[1], x10p13);
        let m0914a = SseVector::fmadd(m0914a, self.twiddles_re[6], x11p12);
        let m0914b = SseVector::mul(self.twiddles_im[8], x1m22);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[4], x2m21);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[3], x3m20);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[9], x4m19);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[0], x5m18);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[7], x6m17);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[5], x7m16);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[2], x8m15);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[10], x9m14);
        let m0914b = SseVector::nmadd(m0914b, self.twiddles_im[1], x10m13);
        let m0914b = SseVector::fmadd(m0914b, self.twiddles_im[6], x11m12);
        let [y09, y14] = SseVector::column_butterfly2([m0914a, m0914b]);

        let m1013a = SseVector::fmadd(values[0], self.twiddles_re[9], x1p22);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[2], x2p21);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[6], x3p20);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[5], x4p19);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[3], x5p18);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[8], x6p17);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[0], x7p16);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[10], x8p15);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[1], x9p14);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[7], x10p13);
        let m1013a = SseVector::fmadd(m1013a, self.twiddles_re[4], x11p12);
        let m1013b = SseVector::mul(self.twiddles_im[9], x1m22);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[2], x2m21);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[6], x3m20);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[5], x4m19);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[3], x5m18);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[8], x6m17);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[0], x7m16);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[10], x8m15);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[1], x9m14);
        let m1013b = SseVector::fmadd(m1013b, self.twiddles_im[7], x10m13);
        let m1013b = SseVector::nmadd(m1013b, self.twiddles_im[4], x11m12);
        let [y10, y13] = SseVector::column_butterfly2([m1013a, m1013b]);

        let m1112a = SseVector::fmadd(values[0], self.twiddles_re[10], x1p22);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[0], x2p21);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[9], x3p20);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[1], x4p19);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[8], x5p18);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[2], x6p17);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[7], x7p16);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[3], x8p15);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[6], x9p14);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[4], x10p13);
        let m1112a = SseVector::fmadd(m1112a, self.twiddles_re[5], x11p12);
        let m1112b = SseVector::mul(self.twiddles_im[10], x1m22);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[0], x2m21);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[9], x3m20);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[1], x4m19);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[8], x5m18);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[2], x6m17);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[7], x7m16);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[3], x8m15);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[6], x9m14);
        let m1112b = SseVector::nmadd(m1112b, self.twiddles_im[4], x10m13);
        let m1112b = SseVector::fmadd(m1112b, self.twiddles_im[5], x11m12);
        let [y11, y12] = SseVector::column_butterfly2([m1112a, m1112b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20, y21, y22]
    }
}

struct SseF32Butterfly29<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 14],
    twiddles_im: [__m128; 14],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly29, 29, |this: &SseF32Butterfly29<_>| this.direction);
impl<T: FftNum> SseF32Butterfly29<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(29, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[14]),
            extract_hi_lo_f32(input_packed[0], input_packed[15]),
            extract_lo_hi_f32(input_packed[1], input_packed[15]),
            extract_hi_lo_f32(input_packed[1], input_packed[16]),
            extract_lo_hi_f32(input_packed[2], input_packed[16]),
            extract_hi_lo_f32(input_packed[2], input_packed[17]),
            extract_lo_hi_f32(input_packed[3], input_packed[17]),
            extract_hi_lo_f32(input_packed[3], input_packed[18]),
            extract_lo_hi_f32(input_packed[4], input_packed[18]),
            extract_hi_lo_f32(input_packed[4], input_packed[19]),
            extract_lo_hi_f32(input_packed[5], input_packed[19]),
            extract_hi_lo_f32(input_packed[5], input_packed[20]),
            extract_lo_hi_f32(input_packed[6], input_packed[20]),
            extract_hi_lo_f32(input_packed[6], input_packed[21]),
            extract_lo_hi_f32(input_packed[7], input_packed[21]),
            extract_hi_lo_f32(input_packed[7], input_packed[22]),
            extract_lo_hi_f32(input_packed[8], input_packed[22]),
            extract_hi_lo_f32(input_packed[8], input_packed[23]),
            extract_lo_hi_f32(input_packed[9], input_packed[23]),
            extract_hi_lo_f32(input_packed[9], input_packed[24]),
            extract_lo_hi_f32(input_packed[10], input_packed[24]),
            extract_hi_lo_f32(input_packed[10], input_packed[25]),
            extract_lo_hi_f32(input_packed[11], input_packed[25]),
            extract_hi_lo_f32(input_packed[11], input_packed[26]),
            extract_lo_hi_f32(input_packed[12], input_packed[26]),
            extract_hi_lo_f32(input_packed[12], input_packed[27]),
            extract_lo_hi_f32(input_packed[13], input_packed[27]),
            extract_hi_lo_f32(input_packed[13], input_packed[28]),
            extract_lo_hi_f32(input_packed[14], input_packed[28]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_lo_f32(out[10], out[11]),
            extract_lo_lo_f32(out[12], out[13]),
            extract_lo_lo_f32(out[14], out[15]),
            extract_lo_lo_f32(out[16], out[17]),
            extract_lo_lo_f32(out[18], out[19]),
            extract_lo_lo_f32(out[20], out[21]),
            extract_lo_lo_f32(out[22], out[23]),
            extract_lo_lo_f32(out[24], out[25]),
            extract_lo_lo_f32(out[26], out[27]),
            extract_lo_hi_f32(out[28], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
            extract_hi_hi_f32(out[11], out[12]),
            extract_hi_hi_f32(out[13], out[14]),
            extract_hi_hi_f32(out[15], out[16]),
            extract_hi_hi_f32(out[17], out[18]),
            extract_hi_hi_f32(out[19], out[20]),
            extract_hi_hi_f32(out[21], out[22]),
            extract_hi_hi_f32(out[23], out[24]),
            extract_hi_hi_f32(out[25], out[26]),
            extract_hi_hi_f32(out[27], out[28]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 29]) -> [__m128; 29] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p28, x1m28] =  SseVector::column_butterfly2([values[1], values[28]]);
        let x1m28 = SseVector::apply_rotate90(rotate, x1m28);
        let y00 = SseVector::add(y00, x1p28);
        let [x2p27, x2m27] =  SseVector::column_butterfly2([values[2], values[27]]);
        let x2m27 = SseVector::apply_rotate90(rotate, x2m27);
        let y00 = SseVector::add(y00, x2p27);
        let [x3p26, x3m26] =  SseVector::column_butterfly2([values[3], values[26]]);
        let x3m26 = SseVector::apply_rotate90(rotate, x3m26);
        let y00 = SseVector::add(y00, x3p26);
        let [x4p25, x4m25] =  SseVector::column_butterfly2([values[4], values[25]]);
        let x4m25 = SseVector::apply_rotate90(rotate, x4m25);
        let y00 = SseVector::add(y00, x4p25);
        let [x5p24, x5m24] =  SseVector::column_butterfly2([values[5], values[24]]);
        let x5m24 = SseVector::apply_rotate90(rotate, x5m24);
        let y00 = SseVector::add(y00, x5p24);
        let [x6p23, x6m23] =  SseVector::column_butterfly2([values[6], values[23]]);
        let x6m23 = SseVector::apply_rotate90(rotate, x6m23);
        let y00 = SseVector::add(y00, x6p23);
        let [x7p22, x7m22] =  SseVector::column_butterfly2([values[7], values[22]]);
        let x7m22 = SseVector::apply_rotate90(rotate, x7m22);
        let y00 = SseVector::add(y00, x7p22);
        let [x8p21, x8m21] =  SseVector::column_butterfly2([values[8], values[21]]);
        let x8m21 = SseVector::apply_rotate90(rotate, x8m21);
        let y00 = SseVector::add(y00, x8p21);
        let [x9p20, x9m20] =  SseVector::column_butterfly2([values[9], values[20]]);
        let x9m20 = SseVector::apply_rotate90(rotate, x9m20);
        let y00 = SseVector::add(y00, x9p20);
        let [x10p19, x10m19] =  SseVector::column_butterfly2([values[10], values[19]]);
        let x10m19 = SseVector::apply_rotate90(rotate, x10m19);
        let y00 = SseVector::add(y00, x10p19);
        let [x11p18, x11m18] =  SseVector::column_butterfly2([values[11], values[18]]);
        let x11m18 = SseVector::apply_rotate90(rotate, x11m18);
        let y00 = SseVector::add(y00, x11p18);
        let [x12p17, x12m17] =  SseVector::column_butterfly2([values[12], values[17]]);
        let x12m17 = SseVector::apply_rotate90(rotate, x12m17);
        let y00 = SseVector::add(y00, x12p17);
        let [x13p16, x13m16] =  SseVector::column_butterfly2([values[13], values[16]]);
        let x13m16 = SseVector::apply_rotate90(rotate, x13m16);
        let y00 = SseVector::add(y00, x13p16);
        let [x14p15, x14m15] =  SseVector::column_butterfly2([values[14], values[15]]);
        let x14m15 = SseVector::apply_rotate90(rotate, x14m15);
        let y00 = SseVector::add(y00, x14p15);

        let m0128a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p28);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[1], x2p27);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[2], x3p26);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[3], x4p25);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[4], x5p24);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[5], x6p23);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[6], x7p22);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[7], x8p21);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[8], x9p20);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[9], x10p19);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[10], x11p18);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[11], x12p17);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[12], x13p16);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[13], x14p15);
        let m0128b = SseVector::mul(self.twiddles_im[0], x1m28);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[1], x2m27);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[2], x3m26);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[3], x4m25);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[4], x5m24);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[5], x6m23);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[6], x7m22);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[7], x8m21);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[8], x9m20);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[9], x10m19);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[10], x11m18);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[11], x12m17);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[12], x13m16);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[13], x14m15);
        let [y01, y28] = SseVector::column_butterfly2([m0128a, m0128b]);

        let m0227a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p28);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[3], x2p27);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[5], x3p26);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[7], x4p25);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[9], x5p24);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[11], x6p23);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[13], x7p22);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[12], x8p21);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[10], x9p20);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[8], x10p19);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[6], x11p18);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[4], x12p17);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[2], x13p16);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[0], x14p15);
        let m0227b = SseVector::mul(self.twiddles_im[1], x1m28);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[3], x2m27);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[5], x3m26);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[7], x4m25);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[9], x5m24);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[11], x6m23);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[13], x7m22);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[12], x8m21);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[10], x9m20);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[8], x10m19);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[6], x11m18);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[4], x12m17);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[2], x13m16);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[0], x14m15);
        let [y02, y27] = SseVector::column_butterfly2([m0227a, m0227b]);

        let m0326a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p28);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[5], x2p27);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[8], x3p26);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[11], x4p25);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[13], x5p24);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[10], x6p23);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[7], x7p22);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[4], x8p21);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[1], x9p20);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[0], x10p19);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[3], x11p18);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[6], x12p17);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[9], x13p16);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[12], x14p15);
        let m0326b = SseVector::mul(self.twiddles_im[2], x1m28);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[5], x2m27);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[8], x3m26);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[11], x4m25);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[13], x5m24);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[10], x6m23);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[7], x7m22);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[4], x8m21);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[1], x9m20);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[0], x10m19);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[3], x11m18);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[6], x12m17);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[9], x13m16);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[12], x14m15);
        let [y03, y26] = SseVector::column_butterfly2([m0326a, m0326b]);

        let m0425a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p28);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[7], x2p27);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[11], x3p26);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[12], x4p25);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[8], x5p24);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[4], x6p23);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[0], x7p22);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[2], x8p21);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[6], x9p20);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[10], x10p19);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[13], x11p18);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[9], x12p17);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[5], x13p16);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[1], x14p15);
        let m0425b = SseVector::mul(self.twiddles_im[3], x1m28);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[7], x2m27);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[11], x3m26);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[12], x4m25);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[8], x5m24);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[4], x6m23);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[0], x7m22);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[2], x8m21);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[6], x9m20);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[10], x10m19);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[13], x11m18);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[9], x12m17);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[5], x13m16);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[1], x14m15);
        let [y04, y25] = SseVector::column_butterfly2([m0425a, m0425b]);

        let m0524a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p28);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[9], x2p27);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[13], x3p26);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[8], x4p25);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[3], x5p24);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[0], x6p23);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[5], x7p22);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[10], x8p21);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[12], x9p20);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[7], x10p19);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[2], x11p18);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[1], x12p17);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[6], x13p16);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[11], x14p15);
        let m0524b = SseVector::mul(self.twiddles_im[4], x1m28);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[9], x2m27);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[13], x3m26);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[8], x4m25);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[3], x5m24);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[0], x6m23);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[5], x7m22);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[10], x8m21);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[12], x9m20);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[7], x10m19);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[2], x11m18);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[1], x12m17);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[6], x13m16);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[11], x14m15);
        let [y05, y24] = SseVector::column_butterfly2([m0524a, m0524b]);

        let m0623a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p28);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[11], x2p27);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[10], x3p26);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[4], x4p25);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[0], x5p24);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[6], x6p23);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[12], x7p22);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[9], x8p21);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[3], x9p20);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[1], x10p19);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[7], x11p18);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[13], x12p17);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[8], x13p16);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[2], x14p15);
        let m0623b = SseVector::mul(self.twiddles_im[5], x1m28);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[11], x2m27);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[10], x3m26);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[4], x4m25);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[0], x5m24);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[6], x6m23);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[12], x7m22);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[9], x8m21);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[3], x9m20);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[1], x10m19);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[7], x11m18);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[13], x12m17);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[8], x13m16);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[2], x14m15);
        let [y06, y23] = SseVector::column_butterfly2([m0623a, m0623b]);

        let m0722a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p28);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[13], x2p27);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[7], x3p26);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[0], x4p25);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[5], x5p24);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[12], x6p23);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[8], x7p22);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[1], x8p21);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[4], x9p20);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[11], x10p19);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[9], x11p18);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[2], x12p17);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[3], x13p16);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[10], x14p15);
        let m0722b = SseVector::mul(self.twiddles_im[6], x1m28);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[13], x2m27);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[7], x3m26);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[0], x4m25);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[5], x5m24);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[12], x6m23);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[8], x7m22);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[1], x8m21);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[4], x9m20);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[11], x10m19);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[9], x11m18);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[2], x12m17);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[3], x13m16);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[10], x14m15);
        let [y07, y22] = SseVector::column_butterfly2([m0722a, m0722b]);

        let m0821a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p28);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[12], x2p27);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[4], x3p26);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[2], x4p25);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[10], x5p24);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[9], x6p23);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[1], x7p22);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[5], x8p21);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[13], x9p20);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[6], x10p19);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[0], x11p18);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[8], x12p17);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[11], x13p16);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[3], x14p15);
        let m0821b = SseVector::mul(self.twiddles_im[7], x1m28);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[12], x2m27);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[4], x3m26);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[2], x4m25);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[10], x5m24);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[9], x6m23);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[1], x7m22);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[5], x8m21);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[13], x9m20);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[6], x10m19);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[0], x11m18);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[8], x12m17);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[11], x13m16);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[3], x14m15);
        let [y08, y21] = SseVector::column_butterfly2([m0821a, m0821b]);

        let m0920a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p28);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[10], x2p27);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[1], x3p26);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[6], x4p25);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[12], x5p24);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[3], x6p23);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[4], x7p22);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[13], x8p21);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[5], x9p20);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[2], x10p19);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[11], x11p18);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[7], x12p17);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[0], x13p16);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[9], x14p15);
        let m0920b = SseVector::mul(self.twiddles_im[8], x1m28);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[10], x2m27);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[1], x3m26);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[6], x4m25);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[12], x5m24);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[3], x6m23);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[4], x7m22);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[13], x8m21);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[5], x9m20);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[2], x10m19);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[11], x11m18);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[7], x12m17);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[0], x13m16);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[9], x14m15);
        let [y09, y20] = SseVector::column_butterfly2([m0920a, m0920b]);

        let m1019a = SseVector::fmadd(values[0], self.twiddles_re[9], x1p28);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[8], x2p27);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[0], x3p26);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[10], x4p25);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[7], x5p24);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[1], x6p23);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[11], x7p22);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[6], x8p21);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[2], x9p20);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[12], x10p19);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[5], x11p18);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[3], x12p17);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[13], x13p16);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[4], x14p15);
        let m1019b = SseVector::mul(self.twiddles_im[9], x1m28);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[8], x2m27);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[0], x3m26);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[10], x4m25);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[7], x5m24);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[1], x6m23);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[11], x7m22);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[6], x8m21);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[2], x9m20);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[12], x10m19);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[5], x11m18);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[3], x12m17);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[13], x13m16);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[4], x14m15);
        let [y10, y19] = SseVector::column_butterfly2([m1019a, m1019b]);

        let m1118a = SseVector::fmadd(values[0], self.twiddles_re[10], x1p28);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[6], x2p27);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[3], x3p26);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[13], x4p25);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[2], x5p24);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[7], x6p23);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[9], x7p22);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[0], x8p21);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[11], x9p20);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[5], x10p19);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[4], x11p18);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[12], x12p17);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[1], x13p16);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[8], x14p15);
        let m1118b = SseVector::mul(self.twiddles_im[10], x1m28);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[6], x2m27);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[3], x3m26);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[13], x4m25);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[2], x5m24);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[7], x6m23);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[9], x7m22);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[0], x8m21);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[11], x9m20);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[5], x10m19);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[4], x11m18);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[12], x12m17);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[1], x13m16);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[8], x14m15);
        let [y11, y18] = SseVector::column_butterfly2([m1118a, m1118b]);

        let m1217a = SseVector::fmadd(values[0], self.twiddles_re[11], x1p28);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[4], x2p27);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[6], x3p26);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[9], x4p25);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[1], x5p24);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[13], x6p23);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[2], x7p22);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[8], x8p21);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[7], x9p20);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[3], x10p19);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[12], x11p18);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[0], x12p17);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[10], x13p16);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[5], x14p15);
        let m1217b = SseVector::mul(self.twiddles_im[11], x1m28);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[4], x2m27);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[6], x3m26);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[9], x4m25);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[1], x5m24);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[13], x6m23);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[2], x7m22);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[8], x8m21);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[7], x9m20);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[3], x10m19);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[12], x11m18);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[0], x12m17);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[10], x13m16);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[5], x14m15);
        let [y12, y17] = SseVector::column_butterfly2([m1217a, m1217b]);

        let m1316a = SseVector::fmadd(values[0], self.twiddles_re[12], x1p28);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[2], x2p27);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[9], x3p26);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[5], x4p25);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[6], x5p24);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[8], x6p23);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[3], x7p22);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[11], x8p21);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[0], x9p20);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[13], x10p19);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[1], x11p18);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[10], x12p17);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[4], x13p16);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[7], x14p15);
        let m1316b = SseVector::mul(self.twiddles_im[12], x1m28);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[2], x2m27);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[9], x3m26);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[5], x4m25);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[6], x5m24);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[8], x6m23);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[3], x7m22);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[11], x8m21);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[0], x9m20);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[13], x10m19);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[1], x11m18);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[10], x12m17);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[4], x13m16);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[7], x14m15);
        let [y13, y16] = SseVector::column_butterfly2([m1316a, m1316b]);

        let m1415a = SseVector::fmadd(values[0], self.twiddles_re[13], x1p28);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[0], x2p27);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[12], x3p26);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[1], x4p25);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[11], x5p24);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[2], x6p23);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[10], x7p22);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[3], x8p21);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[9], x9p20);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[4], x10p19);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[8], x11p18);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[5], x12p17);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[7], x13p16);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[6], x14p15);
        let m1415b = SseVector::mul(self.twiddles_im[13], x1m28);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[0], x2m27);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[12], x3m26);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[1], x4m25);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[11], x5m24);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[2], x6m23);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[10], x7m22);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[3], x8m21);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[9], x9m20);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[4], x10m19);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[8], x11m18);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[5], x12m17);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[7], x13m16);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[6], x14m15);
        let [y14, y15] = SseVector::column_butterfly2([m1415a, m1415b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20, y21, y22, y23, y24, y25, y26, y27, y28]
    }
}

struct SseF64Butterfly29<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 14],
    twiddles_im: [__m128d; 14],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly29, 29, |this: &SseF64Butterfly29<_>| this.direction);
impl<T: FftNum> SseF64Butterfly29<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(29, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 29]) -> [__m128d; 29] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p28, x1m28] =  SseVector::column_butterfly2([values[1], values[28]]);
        let x1m28 = SseVector::apply_rotate90(rotate, x1m28);
        let y00 = SseVector::add(y00, x1p28);
        let [x2p27, x2m27] =  SseVector::column_butterfly2([values[2], values[27]]);
        let x2m27 = SseVector::apply_rotate90(rotate, x2m27);
        let y00 = SseVector::add(y00, x2p27);
        let [x3p26, x3m26] =  SseVector::column_butterfly2([values[3], values[26]]);
        let x3m26 = SseVector::apply_rotate90(rotate, x3m26);
        let y00 = SseVector::add(y00, x3p26);
        let [x4p25, x4m25] =  SseVector::column_butterfly2([values[4], values[25]]);
        let x4m25 = SseVector::apply_rotate90(rotate, x4m25);
        let y00 = SseVector::add(y00, x4p25);
        let [x5p24, x5m24] =  SseVector::column_butterfly2([values[5], values[24]]);
        let x5m24 = SseVector::apply_rotate90(rotate, x5m24);
        let y00 = SseVector::add(y00, x5p24);
        let [x6p23, x6m23] =  SseVector::column_butterfly2([values[6], values[23]]);
        let x6m23 = SseVector::apply_rotate90(rotate, x6m23);
        let y00 = SseVector::add(y00, x6p23);
        let [x7p22, x7m22] =  SseVector::column_butterfly2([values[7], values[22]]);
        let x7m22 = SseVector::apply_rotate90(rotate, x7m22);
        let y00 = SseVector::add(y00, x7p22);
        let [x8p21, x8m21] =  SseVector::column_butterfly2([values[8], values[21]]);
        let x8m21 = SseVector::apply_rotate90(rotate, x8m21);
        let y00 = SseVector::add(y00, x8p21);
        let [x9p20, x9m20] =  SseVector::column_butterfly2([values[9], values[20]]);
        let x9m20 = SseVector::apply_rotate90(rotate, x9m20);
        let y00 = SseVector::add(y00, x9p20);
        let [x10p19, x10m19] =  SseVector::column_butterfly2([values[10], values[19]]);
        let x10m19 = SseVector::apply_rotate90(rotate, x10m19);
        let y00 = SseVector::add(y00, x10p19);
        let [x11p18, x11m18] =  SseVector::column_butterfly2([values[11], values[18]]);
        let x11m18 = SseVector::apply_rotate90(rotate, x11m18);
        let y00 = SseVector::add(y00, x11p18);
        let [x12p17, x12m17] =  SseVector::column_butterfly2([values[12], values[17]]);
        let x12m17 = SseVector::apply_rotate90(rotate, x12m17);
        let y00 = SseVector::add(y00, x12p17);
        let [x13p16, x13m16] =  SseVector::column_butterfly2([values[13], values[16]]);
        let x13m16 = SseVector::apply_rotate90(rotate, x13m16);
        let y00 = SseVector::add(y00, x13p16);
        let [x14p15, x14m15] =  SseVector::column_butterfly2([values[14], values[15]]);
        let x14m15 = SseVector::apply_rotate90(rotate, x14m15);
        let y00 = SseVector::add(y00, x14p15);

        let m0128a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p28);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[1], x2p27);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[2], x3p26);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[3], x4p25);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[4], x5p24);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[5], x6p23);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[6], x7p22);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[7], x8p21);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[8], x9p20);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[9], x10p19);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[10], x11p18);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[11], x12p17);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[12], x13p16);
        let m0128a = SseVector::fmadd(m0128a, self.twiddles_re[13], x14p15);
        let m0128b = SseVector::mul(self.twiddles_im[0], x1m28);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[1], x2m27);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[2], x3m26);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[3], x4m25);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[4], x5m24);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[5], x6m23);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[6], x7m22);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[7], x8m21);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[8], x9m20);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[9], x10m19);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[10], x11m18);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[11], x12m17);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[12], x13m16);
        let m0128b = SseVector::fmadd(m0128b, self.twiddles_im[13], x14m15);
        let [y01, y28] = SseVector::column_butterfly2([m0128a, m0128b]);

        let m0227a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p28);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[3], x2p27);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[5], x3p26);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[7], x4p25);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[9], x5p24);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[11], x6p23);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[13], x7p22);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[12], x8p21);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[10], x9p20);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[8], x10p19);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[6], x11p18);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[4], x12p17);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[2], x13p16);
        let m0227a = SseVector::fmadd(m0227a, self.twiddles_re[0], x14p15);
        let m0227b = SseVector::mul(self.twiddles_im[1], x1m28);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[3], x2m27);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[5], x3m26);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[7], x4m25);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[9], x5m24);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[11], x6m23);
        let m0227b = SseVector::fmadd(m0227b, self.twiddles_im[13], x7m22);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[12], x8m21);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[10], x9m20);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[8], x10m19);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[6], x11m18);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[4], x12m17);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[2], x13m16);
        let m0227b = SseVector::nmadd(m0227b, self.twiddles_im[0], x14m15);
        let [y02, y27] = SseVector::column_butterfly2([m0227a, m0227b]);

        let m0326a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p28);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[5], x2p27);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[8], x3p26);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[11], x4p25);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[13], x5p24);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[10], x6p23);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[7], x7p22);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[4], x8p21);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[1], x9p20);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[0], x10p19);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[3], x11p18);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[6], x12p17);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[9], x13p16);
        let m0326a = SseVector::fmadd(m0326a, self.twiddles_re[12], x14p15);
        let m0326b = SseVector::mul(self.twiddles_im[2], x1m28);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[5], x2m27);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[8], x3m26);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[11], x4m25);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[13], x5m24);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[10], x6m23);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[7], x7m22);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[4], x8m21);
        let m0326b = SseVector::nmadd(m0326b, self.twiddles_im[1], x9m20);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[0], x10m19);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[3], x11m18);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[6], x12m17);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[9], x13m16);
        let m0326b = SseVector::fmadd(m0326b, self.twiddles_im[12], x14m15);
        let [y03, y26] = SseVector::column_butterfly2([m0326a, m0326b]);

        let m0425a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p28);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[7], x2p27);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[11], x3p26);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[12], x4p25);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[8], x5p24);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[4], x6p23);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[0], x7p22);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[2], x8p21);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[6], x9p20);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[10], x10p19);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[13], x11p18);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[9], x12p17);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[5], x13p16);
        let m0425a = SseVector::fmadd(m0425a, self.twiddles_re[1], x14p15);
        let m0425b = SseVector::mul(self.twiddles_im[3], x1m28);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[7], x2m27);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[11], x3m26);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[12], x4m25);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[8], x5m24);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[4], x6m23);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[0], x7m22);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[2], x8m21);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[6], x9m20);
        let m0425b = SseVector::fmadd(m0425b, self.twiddles_im[10], x10m19);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[13], x11m18);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[9], x12m17);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[5], x13m16);
        let m0425b = SseVector::nmadd(m0425b, self.twiddles_im[1], x14m15);
        let [y04, y25] = SseVector::column_butterfly2([m0425a, m0425b]);

        let m0524a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p28);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[9], x2p27);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[13], x3p26);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[8], x4p25);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[3], x5p24);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[0], x6p23);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[5], x7p22);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[10], x8p21);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[12], x9p20);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[7], x10p19);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[2], x11p18);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[1], x12p17);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[6], x13p16);
        let m0524a = SseVector::fmadd(m0524a, self.twiddles_re[11], x14p15);
        let m0524b = SseVector::mul(self.twiddles_im[4], x1m28);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[9], x2m27);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[13], x3m26);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[8], x4m25);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[3], x5m24);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[0], x6m23);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[5], x7m22);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[10], x8m21);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[12], x9m20);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[7], x10m19);
        let m0524b = SseVector::nmadd(m0524b, self.twiddles_im[2], x11m18);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[1], x12m17);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[6], x13m16);
        let m0524b = SseVector::fmadd(m0524b, self.twiddles_im[11], x14m15);
        let [y05, y24] = SseVector::column_butterfly2([m0524a, m0524b]);

        let m0623a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p28);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[11], x2p27);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[10], x3p26);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[4], x4p25);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[0], x5p24);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[6], x6p23);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[12], x7p22);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[9], x8p21);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[3], x9p20);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[1], x10p19);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[7], x11p18);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[13], x12p17);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[8], x13p16);
        let m0623a = SseVector::fmadd(m0623a, self.twiddles_re[2], x14p15);
        let m0623b = SseVector::mul(self.twiddles_im[5], x1m28);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[11], x2m27);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[10], x3m26);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[4], x4m25);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[0], x5m24);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[6], x6m23);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[12], x7m22);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[9], x8m21);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[3], x9m20);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[1], x10m19);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[7], x11m18);
        let m0623b = SseVector::fmadd(m0623b, self.twiddles_im[13], x12m17);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[8], x13m16);
        let m0623b = SseVector::nmadd(m0623b, self.twiddles_im[2], x14m15);
        let [y06, y23] = SseVector::column_butterfly2([m0623a, m0623b]);

        let m0722a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p28);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[13], x2p27);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[7], x3p26);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[0], x4p25);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[5], x5p24);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[12], x6p23);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[8], x7p22);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[1], x8p21);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[4], x9p20);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[11], x10p19);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[9], x11p18);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[2], x12p17);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[3], x13p16);
        let m0722a = SseVector::fmadd(m0722a, self.twiddles_re[10], x14p15);
        let m0722b = SseVector::mul(self.twiddles_im[6], x1m28);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[13], x2m27);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[7], x3m26);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[0], x4m25);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[5], x5m24);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[12], x6m23);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[8], x7m22);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[1], x8m21);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[4], x9m20);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[11], x10m19);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[9], x11m18);
        let m0722b = SseVector::nmadd(m0722b, self.twiddles_im[2], x12m17);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[3], x13m16);
        let m0722b = SseVector::fmadd(m0722b, self.twiddles_im[10], x14m15);
        let [y07, y22] = SseVector::column_butterfly2([m0722a, m0722b]);

        let m0821a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p28);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[12], x2p27);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[4], x3p26);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[2], x4p25);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[10], x5p24);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[9], x6p23);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[1], x7p22);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[5], x8p21);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[13], x9p20);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[6], x10p19);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[0], x11p18);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[8], x12p17);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[11], x13p16);
        let m0821a = SseVector::fmadd(m0821a, self.twiddles_re[3], x14p15);
        let m0821b = SseVector::mul(self.twiddles_im[7], x1m28);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[12], x2m27);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[4], x3m26);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[2], x4m25);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[10], x5m24);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[9], x6m23);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[1], x7m22);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[5], x8m21);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[13], x9m20);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[6], x10m19);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[0], x11m18);
        let m0821b = SseVector::fmadd(m0821b, self.twiddles_im[8], x12m17);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[11], x13m16);
        let m0821b = SseVector::nmadd(m0821b, self.twiddles_im[3], x14m15);
        let [y08, y21] = SseVector::column_butterfly2([m0821a, m0821b]);

        let m0920a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p28);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[10], x2p27);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[1], x3p26);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[6], x4p25);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[12], x5p24);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[3], x6p23);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[4], x7p22);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[13], x8p21);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[5], x9p20);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[2], x10p19);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[11], x11p18);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[7], x12p17);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[0], x13p16);
        let m0920a = SseVector::fmadd(m0920a, self.twiddles_re[9], x14p15);
        let m0920b = SseVector::mul(self.twiddles_im[8], x1m28);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[10], x2m27);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[1], x3m26);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[6], x4m25);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[12], x5m24);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[3], x6m23);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[4], x7m22);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[13], x8m21);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[5], x9m20);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[2], x10m19);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[11], x11m18);
        let m0920b = SseVector::nmadd(m0920b, self.twiddles_im[7], x12m17);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[0], x13m16);
        let m0920b = SseVector::fmadd(m0920b, self.twiddles_im[9], x14m15);
        let [y09, y20] = SseVector::column_butterfly2([m0920a, m0920b]);

        let m1019a = SseVector::fmadd(values[0], self.twiddles_re[9], x1p28);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[8], x2p27);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[0], x3p26);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[10], x4p25);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[7], x5p24);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[1], x6p23);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[11], x7p22);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[6], x8p21);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[2], x9p20);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[12], x10p19);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[5], x11p18);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[3], x12p17);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[13], x13p16);
        let m1019a = SseVector::fmadd(m1019a, self.twiddles_re[4], x14p15);
        let m1019b = SseVector::mul(self.twiddles_im[9], x1m28);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[8], x2m27);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[0], x3m26);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[10], x4m25);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[7], x5m24);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[1], x6m23);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[11], x7m22);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[6], x8m21);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[2], x9m20);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[12], x10m19);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[5], x11m18);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[3], x12m17);
        let m1019b = SseVector::fmadd(m1019b, self.twiddles_im[13], x13m16);
        let m1019b = SseVector::nmadd(m1019b, self.twiddles_im[4], x14m15);
        let [y10, y19] = SseVector::column_butterfly2([m1019a, m1019b]);

        let m1118a = SseVector::fmadd(values[0], self.twiddles_re[10], x1p28);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[6], x2p27);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[3], x3p26);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[13], x4p25);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[2], x5p24);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[7], x6p23);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[9], x7p22);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[0], x8p21);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[11], x9p20);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[5], x10p19);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[4], x11p18);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[12], x12p17);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[1], x13p16);
        let m1118a = SseVector::fmadd(m1118a, self.twiddles_re[8], x14p15);
        let m1118b = SseVector::mul(self.twiddles_im[10], x1m28);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[6], x2m27);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[3], x3m26);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[13], x4m25);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[2], x5m24);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[7], x6m23);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[9], x7m22);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[0], x8m21);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[11], x9m20);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[5], x10m19);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[4], x11m18);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[12], x12m17);
        let m1118b = SseVector::nmadd(m1118b, self.twiddles_im[1], x13m16);
        let m1118b = SseVector::fmadd(m1118b, self.twiddles_im[8], x14m15);
        let [y11, y18] = SseVector::column_butterfly2([m1118a, m1118b]);

        let m1217a = SseVector::fmadd(values[0], self.twiddles_re[11], x1p28);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[4], x2p27);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[6], x3p26);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[9], x4p25);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[1], x5p24);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[13], x6p23);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[2], x7p22);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[8], x8p21);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[7], x9p20);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[3], x10p19);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[12], x11p18);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[0], x12p17);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[10], x13p16);
        let m1217a = SseVector::fmadd(m1217a, self.twiddles_re[5], x14p15);
        let m1217b = SseVector::mul(self.twiddles_im[11], x1m28);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[4], x2m27);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[6], x3m26);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[9], x4m25);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[1], x5m24);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[13], x6m23);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[2], x7m22);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[8], x8m21);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[7], x9m20);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[3], x10m19);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[12], x11m18);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[0], x12m17);
        let m1217b = SseVector::fmadd(m1217b, self.twiddles_im[10], x13m16);
        let m1217b = SseVector::nmadd(m1217b, self.twiddles_im[5], x14m15);
        let [y12, y17] = SseVector::column_butterfly2([m1217a, m1217b]);

        let m1316a = SseVector::fmadd(values[0], self.twiddles_re[12], x1p28);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[2], x2p27);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[9], x3p26);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[5], x4p25);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[6], x5p24);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[8], x6p23);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[3], x7p22);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[11], x8p21);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[0], x9p20);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[13], x10p19);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[1], x11p18);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[10], x12p17);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[4], x13p16);
        let m1316a = SseVector::fmadd(m1316a, self.twiddles_re[7], x14p15);
        let m1316b = SseVector::mul(self.twiddles_im[12], x1m28);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[2], x2m27);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[9], x3m26);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[5], x4m25);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[6], x5m24);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[8], x6m23);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[3], x7m22);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[11], x8m21);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[0], x9m20);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[13], x10m19);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[1], x11m18);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[10], x12m17);
        let m1316b = SseVector::nmadd(m1316b, self.twiddles_im[4], x13m16);
        let m1316b = SseVector::fmadd(m1316b, self.twiddles_im[7], x14m15);
        let [y13, y16] = SseVector::column_butterfly2([m1316a, m1316b]);

        let m1415a = SseVector::fmadd(values[0], self.twiddles_re[13], x1p28);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[0], x2p27);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[12], x3p26);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[1], x4p25);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[11], x5p24);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[2], x6p23);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[10], x7p22);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[3], x8p21);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[9], x9p20);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[4], x10p19);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[8], x11p18);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[5], x12p17);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[7], x13p16);
        let m1415a = SseVector::fmadd(m1415a, self.twiddles_re[6], x14p15);
        let m1415b = SseVector::mul(self.twiddles_im[13], x1m28);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[0], x2m27);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[12], x3m26);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[1], x4m25);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[11], x5m24);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[2], x6m23);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[10], x7m22);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[3], x8m21);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[9], x9m20);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[4], x10m19);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[8], x11m18);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[5], x12m17);
        let m1415b = SseVector::fmadd(m1415b, self.twiddles_im[7], x13m16);
        let m1415b = SseVector::nmadd(m1415b, self.twiddles_im[6], x14m15);
        let [y14, y15] = SseVector::column_butterfly2([m1415a, m1415b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20, y21, y22, y23, y24, y25, y26, y27, y28]
    }
}

struct SseF32Butterfly31<T> {
    direction: FftDirection,
    twiddles_re: [__m128; 15],
    twiddles_im: [__m128; 15],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f32_butterfly!(SseF32Butterfly31, 31, |this: &SseF32Butterfly31<_>| this.direction);
impl<T: FftNum> SseF32Butterfly31<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f32::<T>();
        let twiddles = make_twiddles(31, direction);
        Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let values = read_partial1_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30 });

        let out = self.perform_parallel_fft_direct(values);
        
        write_partial_lo_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30 } ); 
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_contiguous(&self, mut buffer: impl SseArrayMut<f32>) {
        let input_packed = read_complex_to_array!(buffer, { 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60 });

        let values = [
            extract_lo_hi_f32(input_packed[0], input_packed[15]),
            extract_hi_lo_f32(input_packed[0], input_packed[16]),
            extract_lo_hi_f32(input_packed[1], input_packed[16]),
            extract_hi_lo_f32(input_packed[1], input_packed[17]),
            extract_lo_hi_f32(input_packed[2], input_packed[17]),
            extract_hi_lo_f32(input_packed[2], input_packed[18]),
            extract_lo_hi_f32(input_packed[3], input_packed[18]),
            extract_hi_lo_f32(input_packed[3], input_packed[19]),
            extract_lo_hi_f32(input_packed[4], input_packed[19]),
            extract_hi_lo_f32(input_packed[4], input_packed[20]),
            extract_lo_hi_f32(input_packed[5], input_packed[20]),
            extract_hi_lo_f32(input_packed[5], input_packed[21]),
            extract_lo_hi_f32(input_packed[6], input_packed[21]),
            extract_hi_lo_f32(input_packed[6], input_packed[22]),
            extract_lo_hi_f32(input_packed[7], input_packed[22]),
            extract_hi_lo_f32(input_packed[7], input_packed[23]),
            extract_lo_hi_f32(input_packed[8], input_packed[23]),
            extract_hi_lo_f32(input_packed[8], input_packed[24]),
            extract_lo_hi_f32(input_packed[9], input_packed[24]),
            extract_hi_lo_f32(input_packed[9], input_packed[25]),
            extract_lo_hi_f32(input_packed[10], input_packed[25]),
            extract_hi_lo_f32(input_packed[10], input_packed[26]),
            extract_lo_hi_f32(input_packed[11], input_packed[26]),
            extract_hi_lo_f32(input_packed[11], input_packed[27]),
            extract_lo_hi_f32(input_packed[12], input_packed[27]),
            extract_hi_lo_f32(input_packed[12], input_packed[28]),
            extract_lo_hi_f32(input_packed[13], input_packed[28]),
            extract_hi_lo_f32(input_packed[13], input_packed[29]),
            extract_lo_hi_f32(input_packed[14], input_packed[29]),
            extract_hi_lo_f32(input_packed[14], input_packed[30]),
            extract_lo_hi_f32(input_packed[15], input_packed[30]),
        ];

        let out = self.perform_parallel_fft_direct(values);

        let out_packed = [
            extract_lo_lo_f32(out[0], out[1]),
            extract_lo_lo_f32(out[2], out[3]),
            extract_lo_lo_f32(out[4], out[5]),
            extract_lo_lo_f32(out[6], out[7]),
            extract_lo_lo_f32(out[8], out[9]),
            extract_lo_lo_f32(out[10], out[11]),
            extract_lo_lo_f32(out[12], out[13]),
            extract_lo_lo_f32(out[14], out[15]),
            extract_lo_lo_f32(out[16], out[17]),
            extract_lo_lo_f32(out[18], out[19]),
            extract_lo_lo_f32(out[20], out[21]),
            extract_lo_lo_f32(out[22], out[23]),
            extract_lo_lo_f32(out[24], out[25]),
            extract_lo_lo_f32(out[26], out[27]),
            extract_lo_lo_f32(out[28], out[29]),
            extract_lo_hi_f32(out[30], out[0]),
            extract_hi_hi_f32(out[1], out[2]),
            extract_hi_hi_f32(out[3], out[4]),
            extract_hi_hi_f32(out[5], out[6]),
            extract_hi_hi_f32(out[7], out[8]),
            extract_hi_hi_f32(out[9], out[10]),
            extract_hi_hi_f32(out[11], out[12]),
            extract_hi_hi_f32(out[13], out[14]),
            extract_hi_hi_f32(out[15], out[16]),
            extract_hi_hi_f32(out[17], out[18]),
            extract_hi_hi_f32(out[19], out[20]),
            extract_hi_hi_f32(out[21], out[22]),
            extract_hi_hi_f32(out[23], out[24]),
            extract_hi_hi_f32(out[25], out[26]),
            extract_hi_hi_f32(out[27], out[28]),
            extract_hi_hi_f32(out[29], out[30]),
        ];

        write_complex_to_array_strided!(out_packed, buffer, 2, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30 });
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_parallel_fft_direct(&self, values: [__m128; 31]) -> [__m128; 31] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p30, x1m30] =  SseVector::column_butterfly2([values[1], values[30]]);
        let x1m30 = SseVector::apply_rotate90(rotate, x1m30);
        let y00 = SseVector::add(y00, x1p30);
        let [x2p29, x2m29] =  SseVector::column_butterfly2([values[2], values[29]]);
        let x2m29 = SseVector::apply_rotate90(rotate, x2m29);
        let y00 = SseVector::add(y00, x2p29);
        let [x3p28, x3m28] =  SseVector::column_butterfly2([values[3], values[28]]);
        let x3m28 = SseVector::apply_rotate90(rotate, x3m28);
        let y00 = SseVector::add(y00, x3p28);
        let [x4p27, x4m27] =  SseVector::column_butterfly2([values[4], values[27]]);
        let x4m27 = SseVector::apply_rotate90(rotate, x4m27);
        let y00 = SseVector::add(y00, x4p27);
        let [x5p26, x5m26] =  SseVector::column_butterfly2([values[5], values[26]]);
        let x5m26 = SseVector::apply_rotate90(rotate, x5m26);
        let y00 = SseVector::add(y00, x5p26);
        let [x6p25, x6m25] =  SseVector::column_butterfly2([values[6], values[25]]);
        let x6m25 = SseVector::apply_rotate90(rotate, x6m25);
        let y00 = SseVector::add(y00, x6p25);
        let [x7p24, x7m24] =  SseVector::column_butterfly2([values[7], values[24]]);
        let x7m24 = SseVector::apply_rotate90(rotate, x7m24);
        let y00 = SseVector::add(y00, x7p24);
        let [x8p23, x8m23] =  SseVector::column_butterfly2([values[8], values[23]]);
        let x8m23 = SseVector::apply_rotate90(rotate, x8m23);
        let y00 = SseVector::add(y00, x8p23);
        let [x9p22, x9m22] =  SseVector::column_butterfly2([values[9], values[22]]);
        let x9m22 = SseVector::apply_rotate90(rotate, x9m22);
        let y00 = SseVector::add(y00, x9p22);
        let [x10p21, x10m21] =  SseVector::column_butterfly2([values[10], values[21]]);
        let x10m21 = SseVector::apply_rotate90(rotate, x10m21);
        let y00 = SseVector::add(y00, x10p21);
        let [x11p20, x11m20] =  SseVector::column_butterfly2([values[11], values[20]]);
        let x11m20 = SseVector::apply_rotate90(rotate, x11m20);
        let y00 = SseVector::add(y00, x11p20);
        let [x12p19, x12m19] =  SseVector::column_butterfly2([values[12], values[19]]);
        let x12m19 = SseVector::apply_rotate90(rotate, x12m19);
        let y00 = SseVector::add(y00, x12p19);
        let [x13p18, x13m18] =  SseVector::column_butterfly2([values[13], values[18]]);
        let x13m18 = SseVector::apply_rotate90(rotate, x13m18);
        let y00 = SseVector::add(y00, x13p18);
        let [x14p17, x14m17] =  SseVector::column_butterfly2([values[14], values[17]]);
        let x14m17 = SseVector::apply_rotate90(rotate, x14m17);
        let y00 = SseVector::add(y00, x14p17);
        let [x15p16, x15m16] =  SseVector::column_butterfly2([values[15], values[16]]);
        let x15m16 = SseVector::apply_rotate90(rotate, x15m16);
        let y00 = SseVector::add(y00, x15p16);

        let m0130a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p30);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[1], x2p29);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[2], x3p28);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[3], x4p27);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[4], x5p26);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[5], x6p25);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[6], x7p24);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[7], x8p23);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[8], x9p22);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[9], x10p21);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[10], x11p20);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[11], x12p19);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[12], x13p18);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[13], x14p17);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[14], x15p16);
        let m0130b = SseVector::mul(self.twiddles_im[0], x1m30);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[1], x2m29);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[2], x3m28);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[3], x4m27);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[4], x5m26);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[5], x6m25);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[6], x7m24);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[7], x8m23);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[8], x9m22);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[9], x10m21);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[10], x11m20);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[11], x12m19);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[12], x13m18);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[13], x14m17);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[14], x15m16);
        let [y01, y30] = SseVector::column_butterfly2([m0130a, m0130b]);

        let m0229a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p30);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[3], x2p29);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[5], x3p28);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[7], x4p27);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[9], x5p26);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[11], x6p25);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[13], x7p24);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[14], x8p23);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[12], x9p22);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[10], x10p21);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[8], x11p20);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[6], x12p19);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[4], x13p18);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[2], x14p17);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[0], x15p16);
        let m0229b = SseVector::mul(self.twiddles_im[1], x1m30);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[3], x2m29);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[5], x3m28);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[7], x4m27);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[9], x5m26);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[11], x6m25);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[13], x7m24);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[14], x8m23);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[12], x9m22);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[10], x10m21);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[8], x11m20);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[6], x12m19);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[4], x13m18);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[2], x14m17);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[0], x15m16);
        let [y02, y29] = SseVector::column_butterfly2([m0229a, m0229b]);

        let m0328a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p30);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[5], x2p29);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[8], x3p28);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[11], x4p27);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[14], x5p26);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[12], x6p25);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[9], x7p24);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[6], x8p23);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[3], x9p22);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[0], x10p21);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[1], x11p20);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[4], x12p19);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[7], x13p18);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[10], x14p17);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[13], x15p16);
        let m0328b = SseVector::mul(self.twiddles_im[2], x1m30);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[5], x2m29);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[8], x3m28);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[11], x4m27);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[14], x5m26);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[12], x6m25);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[9], x7m24);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[6], x8m23);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[3], x9m22);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[0], x10m21);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[1], x11m20);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[4], x12m19);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[7], x13m18);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[10], x14m17);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[13], x15m16);
        let [y03, y28] = SseVector::column_butterfly2([m0328a, m0328b]);

        let m0427a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p30);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[7], x2p29);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[11], x3p28);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[14], x4p27);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[10], x5p26);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[6], x6p25);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[2], x7p24);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[0], x8p23);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[4], x9p22);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[8], x10p21);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[12], x11p20);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[13], x12p19);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[9], x13p18);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[5], x14p17);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[1], x15p16);
        let m0427b = SseVector::mul(self.twiddles_im[3], x1m30);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[7], x2m29);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[11], x3m28);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[14], x4m27);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[10], x5m26);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[6], x6m25);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[2], x7m24);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[0], x8m23);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[4], x9m22);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[8], x10m21);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[12], x11m20);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[13], x12m19);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[9], x13m18);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[5], x14m17);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[1], x15m16);
        let [y04, y27] = SseVector::column_butterfly2([m0427a, m0427b]);

        let m0526a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p30);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[9], x2p29);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[14], x3p28);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[10], x4p27);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[5], x5p26);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[0], x6p25);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[3], x7p24);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[8], x8p23);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[13], x9p22);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[11], x10p21);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[6], x11p20);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[1], x12p19);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[2], x13p18);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[7], x14p17);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[12], x15p16);
        let m0526b = SseVector::mul(self.twiddles_im[4], x1m30);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[9], x2m29);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[14], x3m28);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[10], x4m27);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[5], x5m26);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[0], x6m25);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[3], x7m24);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[8], x8m23);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[13], x9m22);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[11], x10m21);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[6], x11m20);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[1], x12m19);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[2], x13m18);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[7], x14m17);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[12], x15m16);
        let [y05, y26] = SseVector::column_butterfly2([m0526a, m0526b]);

        let m0625a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p30);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[11], x2p29);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[12], x3p28);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[6], x4p27);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[0], x5p26);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[4], x6p25);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[10], x7p24);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[13], x8p23);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[7], x9p22);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[1], x10p21);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[3], x11p20);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[9], x12p19);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[14], x13p18);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[8], x14p17);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[2], x15p16);
        let m0625b = SseVector::mul(self.twiddles_im[5], x1m30);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[11], x2m29);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[12], x3m28);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[6], x4m27);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[0], x5m26);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[4], x6m25);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[10], x7m24);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[13], x8m23);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[7], x9m22);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[1], x10m21);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[3], x11m20);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[9], x12m19);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[14], x13m18);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[8], x14m17);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[2], x15m16);
        let [y06, y25] = SseVector::column_butterfly2([m0625a, m0625b]);

        let m0724a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p30);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[13], x2p29);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[9], x3p28);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[2], x4p27);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[3], x5p26);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[10], x6p25);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[12], x7p24);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[5], x8p23);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[0], x9p22);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[7], x10p21);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[14], x11p20);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[8], x12p19);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[1], x13p18);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[4], x14p17);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[11], x15p16);
        let m0724b = SseVector::mul(self.twiddles_im[6], x1m30);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[13], x2m29);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[9], x3m28);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[2], x4m27);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[3], x5m26);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[10], x6m25);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[12], x7m24);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[5], x8m23);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[0], x9m22);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[7], x10m21);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[14], x11m20);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[8], x12m19);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[1], x13m18);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[4], x14m17);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[11], x15m16);
        let [y07, y24] = SseVector::column_butterfly2([m0724a, m0724b]);

        let m0823a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p30);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[14], x2p29);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[6], x3p28);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[0], x4p27);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[8], x5p26);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[13], x6p25);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[5], x7p24);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[1], x8p23);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[9], x9p22);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[12], x10p21);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[4], x11p20);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[2], x12p19);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[10], x13p18);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[11], x14p17);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[3], x15p16);
        let m0823b = SseVector::mul(self.twiddles_im[7], x1m30);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[14], x2m29);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[6], x3m28);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[0], x4m27);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[8], x5m26);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[13], x6m25);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[5], x7m24);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[1], x8m23);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[9], x9m22);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[12], x10m21);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[4], x11m20);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[2], x12m19);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[10], x13m18);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[11], x14m17);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[3], x15m16);
        let [y08, y23] = SseVector::column_butterfly2([m0823a, m0823b]);

        let m0922a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p30);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[12], x2p29);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[3], x3p28);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[4], x4p27);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[13], x5p26);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[7], x6p25);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[0], x7p24);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[9], x8p23);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[11], x9p22);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[2], x10p21);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[5], x11p20);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[14], x12p19);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[6], x13p18);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[1], x14p17);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[10], x15p16);
        let m0922b = SseVector::mul(self.twiddles_im[8], x1m30);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[12], x2m29);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[3], x3m28);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[4], x4m27);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[13], x5m26);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[7], x6m25);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[0], x7m24);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[9], x8m23);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[11], x9m22);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[2], x10m21);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[5], x11m20);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[14], x12m19);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[6], x13m18);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[1], x14m17);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[10], x15m16);
        let [y09, y22] = SseVector::column_butterfly2([m0922a, m0922b]);

        let m1021a = SseVector::fmadd(values[0], self.twiddles_re[9], x1p30);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[10], x2p29);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[0], x3p28);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[8], x4p27);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[11], x5p26);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[1], x6p25);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[7], x7p24);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[12], x8p23);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[2], x9p22);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[6], x10p21);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[13], x11p20);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[3], x12p19);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[5], x13p18);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[14], x14p17);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[4], x15p16);
        let m1021b = SseVector::mul(self.twiddles_im[9], x1m30);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[10], x2m29);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[0], x3m28);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[8], x4m27);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[11], x5m26);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[1], x6m25);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[7], x7m24);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[12], x8m23);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[2], x9m22);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[6], x10m21);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[13], x11m20);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[3], x12m19);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[5], x13m18);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[14], x14m17);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[4], x15m16);
        let [y10, y21] = SseVector::column_butterfly2([m1021a, m1021b]);

        let m1120a = SseVector::fmadd(values[0], self.twiddles_re[10], x1p30);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[8], x2p29);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[1], x3p28);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[12], x4p27);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[6], x5p26);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[3], x6p25);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[14], x7p24);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[4], x8p23);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[5], x9p22);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[13], x10p21);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[2], x11p20);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[7], x12p19);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[11], x13p18);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[0], x14p17);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[9], x15p16);
        let m1120b = SseVector::mul(self.twiddles_im[10], x1m30);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[8], x2m29);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[1], x3m28);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[12], x4m27);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[6], x5m26);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[3], x6m25);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[14], x7m24);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[4], x8m23);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[5], x9m22);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[13], x10m21);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[2], x11m20);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[7], x12m19);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[11], x13m18);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[0], x14m17);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[9], x15m16);
        let [y11, y20] = SseVector::column_butterfly2([m1120a, m1120b]);

        let m1219a = SseVector::fmadd(values[0], self.twiddles_re[11], x1p30);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[6], x2p29);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[4], x3p28);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[13], x4p27);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[1], x5p26);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[9], x6p25);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[8], x7p24);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[2], x8p23);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[14], x9p22);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[3], x10p21);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[7], x11p20);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[10], x12p19);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[0], x13p18);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[12], x14p17);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[5], x15p16);
        let m1219b = SseVector::mul(self.twiddles_im[11], x1m30);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[6], x2m29);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[4], x3m28);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[13], x4m27);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[1], x5m26);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[9], x6m25);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[8], x7m24);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[2], x8m23);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[14], x9m22);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[3], x10m21);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[7], x11m20);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[10], x12m19);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[0], x13m18);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[12], x14m17);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[5], x15m16);
        let [y12, y19] = SseVector::column_butterfly2([m1219a, m1219b]);

        let m1318a = SseVector::fmadd(values[0], self.twiddles_re[12], x1p30);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[4], x2p29);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[7], x3p28);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[9], x4p27);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[2], x5p26);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[14], x6p25);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[1], x7p24);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[10], x8p23);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[6], x9p22);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[5], x10p21);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[11], x11p20);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[0], x12p19);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[13], x13p18);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[3], x14p17);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[8], x15p16);
        let m1318b = SseVector::mul(self.twiddles_im[12], x1m30);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[4], x2m29);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[7], x3m28);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[9], x4m27);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[2], x5m26);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[14], x6m25);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[1], x7m24);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[10], x8m23);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[6], x9m22);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[5], x10m21);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[11], x11m20);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[0], x12m19);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[13], x13m18);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[3], x14m17);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[8], x15m16);
        let [y13, y18] = SseVector::column_butterfly2([m1318a, m1318b]);

        let m1417a = SseVector::fmadd(values[0], self.twiddles_re[13], x1p30);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[2], x2p29);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[10], x3p28);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[5], x4p27);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[7], x5p26);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[8], x6p25);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[4], x7p24);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[11], x8p23);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[1], x9p22);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[14], x10p21);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[0], x11p20);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[12], x12p19);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[3], x13p18);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[9], x14p17);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[6], x15p16);
        let m1417b = SseVector::mul(self.twiddles_im[13], x1m30);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[2], x2m29);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[10], x3m28);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[5], x4m27);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[7], x5m26);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[8], x6m25);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[4], x7m24);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[11], x8m23);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[1], x9m22);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[14], x10m21);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[0], x11m20);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[12], x12m19);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[3], x13m18);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[9], x14m17);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[6], x15m16);
        let [y14, y17] = SseVector::column_butterfly2([m1417a, m1417b]);

        let m1516a = SseVector::fmadd(values[0], self.twiddles_re[14], x1p30);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[0], x2p29);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[13], x3p28);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[1], x4p27);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[12], x5p26);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[2], x6p25);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[11], x7p24);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[3], x8p23);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[10], x9p22);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[4], x10p21);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[9], x11p20);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[5], x12p19);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[8], x13p18);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[6], x14p17);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[7], x15p16);
        let m1516b = SseVector::mul(self.twiddles_im[14], x1m30);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[0], x2m29);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[13], x3m28);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[1], x4m27);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[12], x5m26);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[2], x6m25);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[11], x7m24);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[3], x8m23);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[10], x9m22);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[4], x10m21);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[9], x11m20);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[5], x12m19);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[8], x13m18);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[6], x14m17);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[7], x15m16);
        let [y15, y16] = SseVector::column_butterfly2([m1516a, m1516b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20, y21, y22, y23, y24, y25, y26, y27, y28, y29, y30]
    }
}

struct SseF64Butterfly31<T> {
    direction: FftDirection,
    twiddles_re: [__m128d; 15],
    twiddles_im: [__m128d; 15],
    _phantom: std::marker::PhantomData<T>,
}

boilerplate_fft_sse_f64_butterfly!(SseF64Butterfly31, 31, |this: &SseF64Butterfly31<_>| this.direction);
impl<T: FftNum> SseF64Butterfly31<T> {
    /// Safety: The current machine must support the sse4.1 instruction set
    #[target_feature(enable = "sse4.1")]
    unsafe fn new(direction: FftDirection) -> Self {
        assert_f64::<T>();
        let twiddles = make_twiddles(31, direction);
        unsafe {Self {
            direction,
            twiddles_re: twiddles.map(|t| SseVector::broadcast_scalar(t.re)),
            twiddles_im: twiddles.map(|t| SseVector::broadcast_scalar(t.im)),
            _phantom: std::marker::PhantomData,
        }}
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_contiguous(&self, mut buffer: impl SseArrayMut<f64>) {
        let values = read_complex_to_array!(buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30 });

        let out = self.perform_fft_direct(values);

        write_complex_to_array!(out, buffer, { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30 });   
    }

    #[inline(always)]
    pub(crate) unsafe fn perform_fft_direct(&self, values: [__m128d; 31]) -> [__m128d; 31] {
        let rotate = SseVector::make_rotate90(FftDirection::Inverse);

        let y00 = values[0];
        let [x1p30, x1m30] =  SseVector::column_butterfly2([values[1], values[30]]);
        let x1m30 = SseVector::apply_rotate90(rotate, x1m30);
        let y00 = SseVector::add(y00, x1p30);
        let [x2p29, x2m29] =  SseVector::column_butterfly2([values[2], values[29]]);
        let x2m29 = SseVector::apply_rotate90(rotate, x2m29);
        let y00 = SseVector::add(y00, x2p29);
        let [x3p28, x3m28] =  SseVector::column_butterfly2([values[3], values[28]]);
        let x3m28 = SseVector::apply_rotate90(rotate, x3m28);
        let y00 = SseVector::add(y00, x3p28);
        let [x4p27, x4m27] =  SseVector::column_butterfly2([values[4], values[27]]);
        let x4m27 = SseVector::apply_rotate90(rotate, x4m27);
        let y00 = SseVector::add(y00, x4p27);
        let [x5p26, x5m26] =  SseVector::column_butterfly2([values[5], values[26]]);
        let x5m26 = SseVector::apply_rotate90(rotate, x5m26);
        let y00 = SseVector::add(y00, x5p26);
        let [x6p25, x6m25] =  SseVector::column_butterfly2([values[6], values[25]]);
        let x6m25 = SseVector::apply_rotate90(rotate, x6m25);
        let y00 = SseVector::add(y00, x6p25);
        let [x7p24, x7m24] =  SseVector::column_butterfly2([values[7], values[24]]);
        let x7m24 = SseVector::apply_rotate90(rotate, x7m24);
        let y00 = SseVector::add(y00, x7p24);
        let [x8p23, x8m23] =  SseVector::column_butterfly2([values[8], values[23]]);
        let x8m23 = SseVector::apply_rotate90(rotate, x8m23);
        let y00 = SseVector::add(y00, x8p23);
        let [x9p22, x9m22] =  SseVector::column_butterfly2([values[9], values[22]]);
        let x9m22 = SseVector::apply_rotate90(rotate, x9m22);
        let y00 = SseVector::add(y00, x9p22);
        let [x10p21, x10m21] =  SseVector::column_butterfly2([values[10], values[21]]);
        let x10m21 = SseVector::apply_rotate90(rotate, x10m21);
        let y00 = SseVector::add(y00, x10p21);
        let [x11p20, x11m20] =  SseVector::column_butterfly2([values[11], values[20]]);
        let x11m20 = SseVector::apply_rotate90(rotate, x11m20);
        let y00 = SseVector::add(y00, x11p20);
        let [x12p19, x12m19] =  SseVector::column_butterfly2([values[12], values[19]]);
        let x12m19 = SseVector::apply_rotate90(rotate, x12m19);
        let y00 = SseVector::add(y00, x12p19);
        let [x13p18, x13m18] =  SseVector::column_butterfly2([values[13], values[18]]);
        let x13m18 = SseVector::apply_rotate90(rotate, x13m18);
        let y00 = SseVector::add(y00, x13p18);
        let [x14p17, x14m17] =  SseVector::column_butterfly2([values[14], values[17]]);
        let x14m17 = SseVector::apply_rotate90(rotate, x14m17);
        let y00 = SseVector::add(y00, x14p17);
        let [x15p16, x15m16] =  SseVector::column_butterfly2([values[15], values[16]]);
        let x15m16 = SseVector::apply_rotate90(rotate, x15m16);
        let y00 = SseVector::add(y00, x15p16);

        let m0130a = SseVector::fmadd(values[0], self.twiddles_re[0], x1p30);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[1], x2p29);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[2], x3p28);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[3], x4p27);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[4], x5p26);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[5], x6p25);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[6], x7p24);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[7], x8p23);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[8], x9p22);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[9], x10p21);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[10], x11p20);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[11], x12p19);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[12], x13p18);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[13], x14p17);
        let m0130a = SseVector::fmadd(m0130a, self.twiddles_re[14], x15p16);
        let m0130b = SseVector::mul(self.twiddles_im[0], x1m30);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[1], x2m29);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[2], x3m28);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[3], x4m27);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[4], x5m26);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[5], x6m25);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[6], x7m24);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[7], x8m23);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[8], x9m22);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[9], x10m21);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[10], x11m20);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[11], x12m19);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[12], x13m18);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[13], x14m17);
        let m0130b = SseVector::fmadd(m0130b, self.twiddles_im[14], x15m16);
        let [y01, y30] = SseVector::column_butterfly2([m0130a, m0130b]);

        let m0229a = SseVector::fmadd(values[0], self.twiddles_re[1], x1p30);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[3], x2p29);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[5], x3p28);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[7], x4p27);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[9], x5p26);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[11], x6p25);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[13], x7p24);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[14], x8p23);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[12], x9p22);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[10], x10p21);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[8], x11p20);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[6], x12p19);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[4], x13p18);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[2], x14p17);
        let m0229a = SseVector::fmadd(m0229a, self.twiddles_re[0], x15p16);
        let m0229b = SseVector::mul(self.twiddles_im[1], x1m30);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[3], x2m29);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[5], x3m28);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[7], x4m27);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[9], x5m26);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[11], x6m25);
        let m0229b = SseVector::fmadd(m0229b, self.twiddles_im[13], x7m24);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[14], x8m23);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[12], x9m22);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[10], x10m21);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[8], x11m20);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[6], x12m19);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[4], x13m18);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[2], x14m17);
        let m0229b = SseVector::nmadd(m0229b, self.twiddles_im[0], x15m16);
        let [y02, y29] = SseVector::column_butterfly2([m0229a, m0229b]);

        let m0328a = SseVector::fmadd(values[0], self.twiddles_re[2], x1p30);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[5], x2p29);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[8], x3p28);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[11], x4p27);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[14], x5p26);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[12], x6p25);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[9], x7p24);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[6], x8p23);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[3], x9p22);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[0], x10p21);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[1], x11p20);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[4], x12p19);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[7], x13p18);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[10], x14p17);
        let m0328a = SseVector::fmadd(m0328a, self.twiddles_re[13], x15p16);
        let m0328b = SseVector::mul(self.twiddles_im[2], x1m30);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[5], x2m29);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[8], x3m28);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[11], x4m27);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[14], x5m26);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[12], x6m25);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[9], x7m24);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[6], x8m23);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[3], x9m22);
        let m0328b = SseVector::nmadd(m0328b, self.twiddles_im[0], x10m21);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[1], x11m20);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[4], x12m19);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[7], x13m18);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[10], x14m17);
        let m0328b = SseVector::fmadd(m0328b, self.twiddles_im[13], x15m16);
        let [y03, y28] = SseVector::column_butterfly2([m0328a, m0328b]);

        let m0427a = SseVector::fmadd(values[0], self.twiddles_re[3], x1p30);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[7], x2p29);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[11], x3p28);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[14], x4p27);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[10], x5p26);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[6], x6p25);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[2], x7p24);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[0], x8p23);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[4], x9p22);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[8], x10p21);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[12], x11p20);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[13], x12p19);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[9], x13p18);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[5], x14p17);
        let m0427a = SseVector::fmadd(m0427a, self.twiddles_re[1], x15p16);
        let m0427b = SseVector::mul(self.twiddles_im[3], x1m30);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[7], x2m29);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[11], x3m28);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[14], x4m27);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[10], x5m26);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[6], x6m25);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[2], x7m24);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[0], x8m23);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[4], x9m22);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[8], x10m21);
        let m0427b = SseVector::fmadd(m0427b, self.twiddles_im[12], x11m20);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[13], x12m19);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[9], x13m18);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[5], x14m17);
        let m0427b = SseVector::nmadd(m0427b, self.twiddles_im[1], x15m16);
        let [y04, y27] = SseVector::column_butterfly2([m0427a, m0427b]);

        let m0526a = SseVector::fmadd(values[0], self.twiddles_re[4], x1p30);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[9], x2p29);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[14], x3p28);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[10], x4p27);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[5], x5p26);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[0], x6p25);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[3], x7p24);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[8], x8p23);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[13], x9p22);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[11], x10p21);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[6], x11p20);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[1], x12p19);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[2], x13p18);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[7], x14p17);
        let m0526a = SseVector::fmadd(m0526a, self.twiddles_re[12], x15p16);
        let m0526b = SseVector::mul(self.twiddles_im[4], x1m30);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[9], x2m29);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[14], x3m28);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[10], x4m27);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[5], x5m26);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[0], x6m25);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[3], x7m24);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[8], x8m23);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[13], x9m22);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[11], x10m21);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[6], x11m20);
        let m0526b = SseVector::nmadd(m0526b, self.twiddles_im[1], x12m19);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[2], x13m18);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[7], x14m17);
        let m0526b = SseVector::fmadd(m0526b, self.twiddles_im[12], x15m16);
        let [y05, y26] = SseVector::column_butterfly2([m0526a, m0526b]);

        let m0625a = SseVector::fmadd(values[0], self.twiddles_re[5], x1p30);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[11], x2p29);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[12], x3p28);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[6], x4p27);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[0], x5p26);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[4], x6p25);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[10], x7p24);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[13], x8p23);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[7], x9p22);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[1], x10p21);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[3], x11p20);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[9], x12p19);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[14], x13p18);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[8], x14p17);
        let m0625a = SseVector::fmadd(m0625a, self.twiddles_re[2], x15p16);
        let m0625b = SseVector::mul(self.twiddles_im[5], x1m30);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[11], x2m29);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[12], x3m28);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[6], x4m27);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[0], x5m26);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[4], x6m25);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[10], x7m24);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[13], x8m23);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[7], x9m22);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[1], x10m21);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[3], x11m20);
        let m0625b = SseVector::fmadd(m0625b, self.twiddles_im[9], x12m19);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[14], x13m18);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[8], x14m17);
        let m0625b = SseVector::nmadd(m0625b, self.twiddles_im[2], x15m16);
        let [y06, y25] = SseVector::column_butterfly2([m0625a, m0625b]);

        let m0724a = SseVector::fmadd(values[0], self.twiddles_re[6], x1p30);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[13], x2p29);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[9], x3p28);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[2], x4p27);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[3], x5p26);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[10], x6p25);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[12], x7p24);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[5], x8p23);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[0], x9p22);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[7], x10p21);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[14], x11p20);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[8], x12p19);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[1], x13p18);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[4], x14p17);
        let m0724a = SseVector::fmadd(m0724a, self.twiddles_re[11], x15p16);
        let m0724b = SseVector::mul(self.twiddles_im[6], x1m30);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[13], x2m29);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[9], x3m28);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[2], x4m27);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[3], x5m26);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[10], x6m25);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[12], x7m24);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[5], x8m23);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[0], x9m22);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[7], x10m21);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[14], x11m20);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[8], x12m19);
        let m0724b = SseVector::nmadd(m0724b, self.twiddles_im[1], x13m18);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[4], x14m17);
        let m0724b = SseVector::fmadd(m0724b, self.twiddles_im[11], x15m16);
        let [y07, y24] = SseVector::column_butterfly2([m0724a, m0724b]);

        let m0823a = SseVector::fmadd(values[0], self.twiddles_re[7], x1p30);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[14], x2p29);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[6], x3p28);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[0], x4p27);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[8], x5p26);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[13], x6p25);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[5], x7p24);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[1], x8p23);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[9], x9p22);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[12], x10p21);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[4], x11p20);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[2], x12p19);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[10], x13p18);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[11], x14p17);
        let m0823a = SseVector::fmadd(m0823a, self.twiddles_re[3], x15p16);
        let m0823b = SseVector::mul(self.twiddles_im[7], x1m30);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[14], x2m29);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[6], x3m28);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[0], x4m27);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[8], x5m26);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[13], x6m25);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[5], x7m24);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[1], x8m23);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[9], x9m22);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[12], x10m21);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[4], x11m20);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[2], x12m19);
        let m0823b = SseVector::fmadd(m0823b, self.twiddles_im[10], x13m18);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[11], x14m17);
        let m0823b = SseVector::nmadd(m0823b, self.twiddles_im[3], x15m16);
        let [y08, y23] = SseVector::column_butterfly2([m0823a, m0823b]);

        let m0922a = SseVector::fmadd(values[0], self.twiddles_re[8], x1p30);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[12], x2p29);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[3], x3p28);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[4], x4p27);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[13], x5p26);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[7], x6p25);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[0], x7p24);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[9], x8p23);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[11], x9p22);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[2], x10p21);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[5], x11p20);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[14], x12p19);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[6], x13p18);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[1], x14p17);
        let m0922a = SseVector::fmadd(m0922a, self.twiddles_re[10], x15p16);
        let m0922b = SseVector::mul(self.twiddles_im[8], x1m30);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[12], x2m29);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[3], x3m28);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[4], x4m27);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[13], x5m26);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[7], x6m25);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[0], x7m24);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[9], x8m23);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[11], x9m22);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[2], x10m21);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[5], x11m20);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[14], x12m19);
        let m0922b = SseVector::nmadd(m0922b, self.twiddles_im[6], x13m18);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[1], x14m17);
        let m0922b = SseVector::fmadd(m0922b, self.twiddles_im[10], x15m16);
        let [y09, y22] = SseVector::column_butterfly2([m0922a, m0922b]);

        let m1021a = SseVector::fmadd(values[0], self.twiddles_re[9], x1p30);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[10], x2p29);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[0], x3p28);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[8], x4p27);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[11], x5p26);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[1], x6p25);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[7], x7p24);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[12], x8p23);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[2], x9p22);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[6], x10p21);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[13], x11p20);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[3], x12p19);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[5], x13p18);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[14], x14p17);
        let m1021a = SseVector::fmadd(m1021a, self.twiddles_re[4], x15p16);
        let m1021b = SseVector::mul(self.twiddles_im[9], x1m30);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[10], x2m29);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[0], x3m28);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[8], x4m27);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[11], x5m26);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[1], x6m25);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[7], x7m24);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[12], x8m23);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[2], x9m22);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[6], x10m21);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[13], x11m20);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[3], x12m19);
        let m1021b = SseVector::fmadd(m1021b, self.twiddles_im[5], x13m18);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[14], x14m17);
        let m1021b = SseVector::nmadd(m1021b, self.twiddles_im[4], x15m16);
        let [y10, y21] = SseVector::column_butterfly2([m1021a, m1021b]);

        let m1120a = SseVector::fmadd(values[0], self.twiddles_re[10], x1p30);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[8], x2p29);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[1], x3p28);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[12], x4p27);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[6], x5p26);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[3], x6p25);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[14], x7p24);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[4], x8p23);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[5], x9p22);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[13], x10p21);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[2], x11p20);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[7], x12p19);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[11], x13p18);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[0], x14p17);
        let m1120a = SseVector::fmadd(m1120a, self.twiddles_re[9], x15p16);
        let m1120b = SseVector::mul(self.twiddles_im[10], x1m30);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[8], x2m29);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[1], x3m28);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[12], x4m27);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[6], x5m26);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[3], x6m25);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[14], x7m24);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[4], x8m23);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[5], x9m22);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[13], x10m21);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[2], x11m20);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[7], x12m19);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[11], x13m18);
        let m1120b = SseVector::nmadd(m1120b, self.twiddles_im[0], x14m17);
        let m1120b = SseVector::fmadd(m1120b, self.twiddles_im[9], x15m16);
        let [y11, y20] = SseVector::column_butterfly2([m1120a, m1120b]);

        let m1219a = SseVector::fmadd(values[0], self.twiddles_re[11], x1p30);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[6], x2p29);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[4], x3p28);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[13], x4p27);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[1], x5p26);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[9], x6p25);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[8], x7p24);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[2], x8p23);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[14], x9p22);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[3], x10p21);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[7], x11p20);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[10], x12p19);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[0], x13p18);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[12], x14p17);
        let m1219a = SseVector::fmadd(m1219a, self.twiddles_re[5], x15p16);
        let m1219b = SseVector::mul(self.twiddles_im[11], x1m30);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[6], x2m29);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[4], x3m28);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[13], x4m27);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[1], x5m26);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[9], x6m25);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[8], x7m24);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[2], x8m23);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[14], x9m22);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[3], x10m21);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[7], x11m20);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[10], x12m19);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[0], x13m18);
        let m1219b = SseVector::fmadd(m1219b, self.twiddles_im[12], x14m17);
        let m1219b = SseVector::nmadd(m1219b, self.twiddles_im[5], x15m16);
        let [y12, y19] = SseVector::column_butterfly2([m1219a, m1219b]);

        let m1318a = SseVector::fmadd(values[0], self.twiddles_re[12], x1p30);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[4], x2p29);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[7], x3p28);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[9], x4p27);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[2], x5p26);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[14], x6p25);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[1], x7p24);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[10], x8p23);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[6], x9p22);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[5], x10p21);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[11], x11p20);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[0], x12p19);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[13], x13p18);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[3], x14p17);
        let m1318a = SseVector::fmadd(m1318a, self.twiddles_re[8], x15p16);
        let m1318b = SseVector::mul(self.twiddles_im[12], x1m30);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[4], x2m29);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[7], x3m28);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[9], x4m27);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[2], x5m26);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[14], x6m25);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[1], x7m24);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[10], x8m23);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[6], x9m22);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[5], x10m21);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[11], x11m20);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[0], x12m19);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[13], x13m18);
        let m1318b = SseVector::nmadd(m1318b, self.twiddles_im[3], x14m17);
        let m1318b = SseVector::fmadd(m1318b, self.twiddles_im[8], x15m16);
        let [y13, y18] = SseVector::column_butterfly2([m1318a, m1318b]);

        let m1417a = SseVector::fmadd(values[0], self.twiddles_re[13], x1p30);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[2], x2p29);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[10], x3p28);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[5], x4p27);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[7], x5p26);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[8], x6p25);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[4], x7p24);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[11], x8p23);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[1], x9p22);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[14], x10p21);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[0], x11p20);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[12], x12p19);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[3], x13p18);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[9], x14p17);
        let m1417a = SseVector::fmadd(m1417a, self.twiddles_re[6], x15p16);
        let m1417b = SseVector::mul(self.twiddles_im[13], x1m30);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[2], x2m29);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[10], x3m28);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[5], x4m27);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[7], x5m26);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[8], x6m25);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[4], x7m24);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[11], x8m23);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[1], x9m22);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[14], x10m21);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[0], x11m20);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[12], x12m19);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[3], x13m18);
        let m1417b = SseVector::fmadd(m1417b, self.twiddles_im[9], x14m17);
        let m1417b = SseVector::nmadd(m1417b, self.twiddles_im[6], x15m16);
        let [y14, y17] = SseVector::column_butterfly2([m1417a, m1417b]);

        let m1516a = SseVector::fmadd(values[0], self.twiddles_re[14], x1p30);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[0], x2p29);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[13], x3p28);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[1], x4p27);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[12], x5p26);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[2], x6p25);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[11], x7p24);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[3], x8p23);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[10], x9p22);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[4], x10p21);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[9], x11p20);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[5], x12p19);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[8], x13p18);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[6], x14p17);
        let m1516a = SseVector::fmadd(m1516a, self.twiddles_re[7], x15p16);
        let m1516b = SseVector::mul(self.twiddles_im[14], x1m30);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[0], x2m29);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[13], x3m28);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[1], x4m27);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[12], x5m26);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[2], x6m25);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[11], x7m24);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[3], x8m23);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[10], x9m22);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[4], x10m21);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[9], x11m20);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[5], x12m19);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[8], x13m18);
        let m1516b = SseVector::nmadd(m1516b, self.twiddles_im[6], x14m17);
        let m1516b = SseVector::fmadd(m1516b, self.twiddles_im[7], x15m16);
        let [y15, y16] = SseVector::column_butterfly2([m1516a, m1516b]);


        [y00, y01, y02, y03, y04, y05, y06, y07, y08, y09, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20, y21, y22, y23, y24, y25, y26, y27, y28, y29, y30]
    }
}


#[cfg(test)]
mod unit_tests {
    use super::*;
    use crate::test_utils::check_fft_algorithm;

    macro_rules! test_butterfly_32_func {
        ($test_name:ident, $struct_name:ident, $size:expr) => {
            #[test]
            fn $test_name() {
                assert!(std::arch::is_x86_feature_detected!("sse4.1"));

                let fwd = unsafe { $struct_name::new(FftDirection::Forward) };
                check_fft_algorithm::<f32>(&fwd, $size, FftDirection::Forward);

                let inv = unsafe { $struct_name::new(FftDirection::Inverse) }; 
                check_fft_algorithm::<f32>(&inv, $size, FftDirection::Inverse);
            }
        };
    }
    macro_rules! test_butterfly_64_func {
        ($test_name:ident, $struct_name:ident, $size:expr) => {
            #[test]
            fn $test_name() {
                assert!(std::arch::is_x86_feature_detected!("sse4.1"));

                let fwd = unsafe { $struct_name::new(FftDirection::Forward) };
                check_fft_algorithm::<f64>(&fwd, $size, FftDirection::Forward);

                let inv = unsafe { $struct_name::new(FftDirection::Inverse) };
                check_fft_algorithm::<f64>(&inv, $size, FftDirection::Inverse);
            }
        };
    }
    test_butterfly_32_func!(test_ssef32_butterfly7, SseF32Butterfly7, 7);
    test_butterfly_32_func!(test_ssef32_butterfly11, SseF32Butterfly11, 11);
    test_butterfly_32_func!(test_ssef32_butterfly13, SseF32Butterfly13, 13);
    test_butterfly_32_func!(test_ssef32_butterfly17, SseF32Butterfly17, 17);
    test_butterfly_32_func!(test_ssef32_butterfly19, SseF32Butterfly19, 19);
    test_butterfly_32_func!(test_ssef32_butterfly23, SseF32Butterfly23, 23);
    test_butterfly_32_func!(test_ssef32_butterfly29, SseF32Butterfly29, 29);
    test_butterfly_32_func!(test_ssef32_butterfly31, SseF32Butterfly31, 31);
    test_butterfly_64_func!(test_ssef64_butterfly7, SseF64Butterfly7, 7);
    test_butterfly_64_func!(test_ssef64_butterfly11, SseF64Butterfly11, 11);
    test_butterfly_64_func!(test_ssef64_butterfly13, SseF64Butterfly13, 13);
    test_butterfly_64_func!(test_ssef64_butterfly17, SseF64Butterfly17, 17);
    test_butterfly_64_func!(test_ssef64_butterfly19, SseF64Butterfly19, 19);
    test_butterfly_64_func!(test_ssef64_butterfly23, SseF64Butterfly23, 23);
    test_butterfly_64_func!(test_ssef64_butterfly29, SseF64Butterfly29, 29);
    test_butterfly_64_func!(test_ssef64_butterfly31, SseF64Butterfly31, 31);
}