opus-rs 0.1.13

pure Rust implementation of Opus codec
Documentation
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use crate::kiss_fft::{KissCpx, KissFftState, opus_fft_impl};
use std::f32::consts::PI;
use std::mem::MaybeUninit;

const MAX_N2: usize = 960;
const MAX_N4: usize = 480;

pub struct MdctLookup {
    pub n: usize,
    pub max_lm: usize,
    kfft: Vec<Option<KissFftState>>,
    trig: Vec<f32>,
}

impl MdctLookup {
    pub fn new(n: usize, max_lm: usize) -> Self {
        let mut kfft = Vec::new();
        let mut trig = Vec::new();
        let mut curr_n = n;

        for shift in 0..=max_lm {
            let n4 = curr_n / 4;

            if shift == 0 {
                kfft.push(KissFftState::new(n4));
            } else if let Some(base) = kfft.first().unwrap().as_ref() {
                kfft.push(KissFftState::new_sub(base, n4));
            } else {
                kfft.push(None);
            }

            let n2 = curr_n / 2;
            for i in 0..n2 {
                let angle = 2.0 * PI * (i as f32 + 0.125) / curr_n as f32;
                trig.push(angle.cos());
            }

            curr_n >>= 1;
        }

        Self {
            n,
            max_lm,
            kfft,
            trig,
        }
    }

    fn get_trig(&self, shift: usize) -> (&[f32], usize) {
        let mut offset = 0;
        let mut curr_n = self.n;
        for _ in 0..shift {
            offset += curr_n / 2;
            curr_n >>= 1;
        }
        (&self.trig[offset..offset + curr_n / 2], curr_n / 4)
    }

    pub fn get_trig_debug(&self, shift: usize) -> &[f32] {
        let (trig, _) = self.get_trig(shift);
        trig
    }

    #[inline]
    pub fn forward(
        &self,
        input: &[f32],
        output: &mut [f32],
        window: &[f32],
        overlap: usize,
        shift: usize,
        stride: usize,
    ) {
        let st = self.kfft[shift]
            .as_ref()
            .expect("FFT state not initialized");
        let n = self.n >> shift;
        let n2 = n / 2;
        let n4 = n / 4;
        let scale = st.scale();

        let (trig, _) = self.get_trig(shift);
        let overlap2 = overlap / 2;

        let mut f_buf = [MaybeUninit::<f32>::uninit(); MAX_N2];
        let mut f2_buf = [MaybeUninit::<KissCpx>::uninit(); MAX_N4];
        // SAFETY: f_buf[0..n2] is fully written by the three fold loops below
        // (loop1 + loop2 + loop3 write exactly 2*n4 = n2 elements).
        // f2_buf[0..n4] is fully written by the pre-rotation loop.
        let f = unsafe { std::slice::from_raw_parts_mut(f_buf.as_mut_ptr() as *mut f32, n2) };
        let f2 = unsafe { std::slice::from_raw_parts_mut(f2_buf.as_mut_ptr() as *mut KissCpx, n4) };

        // Assert caller invariants so LLVM can prove all loop accesses in-bounds
        // and eliminate per-element conditional checks, enabling auto-vectorization.
        // Max input index accessed = n/2 + overlap/2 - 1 (see loop analysis), so we need
        // at least n/2 + overlap/2 elements. n + overlap is the theoretical over-estimate
        // but the actual accesses stay within n/2 + overlap/2 due to the fold structure.
        assert!(input.len() >= n2 + overlap2);
        assert!(window.len() >= overlap);

        {
            let mut yp = 0usize;
            let mut xp1 = overlap2;
            let mut xp2 = n2 - 1 + overlap2;
            let mut wp1 = overlap2;
            // wp2 can underflow on the final post-loop decrement (value never read after),
            // so saturating_sub is used only here; all other pointers stay non-negative.
            let mut wp2 = overlap2.saturating_sub(1);

            let limit = (overlap + 3) / 4;
            let mid = if n4 > limit { n4 - limit } else { 0 };

            // Loop 1: windowed fold (first overlap region).
            // All indices proved valid when input.len()>=n+overlap, window.len()>=overlap.
            let loop1_iters = limit.min(n4);
            for _ in 0..loop1_iters {
                let w1 = window[wp1];
                let w2 = window[wp2];

                f[yp] = input[xp1 + n2] * w2 + input[xp2] * w1;
                yp += 1;

                f[yp] = input[xp1] * w1 - input[xp2 - n2] * w2;
                yp += 1;

                xp1 += 2;
                xp2 -= 2;
                wp1 += 2;
                wp2 = wp2.saturating_sub(2);
            }

            // Loop 2: no window (middle region, straight interleaved copy).
            for _ in limit..mid {
                f[yp] = input[xp2];
                yp += 1;

                f[yp] = input[xp1];
                yp += 1;
                xp1 += 2;
                xp2 -= 2;
            }

            // Loop 3: windowed fold (second overlap region).
            // At loop3 start, xp1 = n2 exactly (identity: overlap2 + 2*mid = n2).
            let loop3_iters = if mid > limit { n4 - mid } else { 0 };
            let mut wp1_l3 = 0usize;
            let mut wp2_l3 = overlap.saturating_sub(1);
            for _ in 0..loop3_iters {
                let w1 = window[wp1_l3];
                let w2 = window[wp2_l3];

                f[yp] = -input[xp1 - n2] * w1 + input[xp2] * w2;
                yp += 1;

                f[yp] = input[xp1] * w2 + input[xp2 + n2] * w1;
                yp += 1;

                xp1 += 2;
                xp2 -= 2;
                wp1_l3 += 2;
                wp2_l3 -= 2;
            }
        }

        // Pre-rotation with bitrev indexing
        #[cfg(target_arch = "aarch64")]
        {
            mdct_pre_rotation_neon(f, f2, trig, &st.bitrev[..n4], n4, scale);
        }
        #[cfg(not(target_arch = "aarch64"))]
        for i in 0..n4 {
            let re = f[2 * i];
            let im = f[2 * i + 1];
            let t0 = trig[i];
            let t1 = trig[n4 + i];

            let yr = re * t0 - im * t1;
            let yi = im * t0 + re * t1;

            f2[st.bitrev[i] as usize] = KissCpx::new(yr * scale, yi * scale);
        }

        opus_fft_impl(st, f2);

        // Post-rotation
        #[cfg(target_arch = "aarch64")]
        {
            mdct_post_rotation_neon(f2, trig, output, n4, n2, stride);
        }
        #[cfg(not(target_arch = "aarch64"))]
        for i in 0..n4 {
            let fp = &f2[i];
            let t0 = trig[i];
            let t1 = trig[n4 + i];

            let yr = fp.i * t1 - fp.r * t0;
            let yi = fp.r * t1 + fp.i * t0;

            output[i * 2 * stride] = yr;
            output[stride * (n2 - 1 - 2 * i)] = yi;
        }
    }

    #[inline]
    pub fn backward(
        &self,
        input: &[f32],
        output: &mut [f32],
        window: &[f32],
        overlap: usize,
        shift: usize,
        stride: usize,
    ) {
        let st = self.kfft[shift]
            .as_ref()
            .expect("FFT state not initialized");
        let n = self.n >> shift;
        let n2 = n / 2;
        let n4 = n / 4;
        let overlap2 = overlap / 2;

        let (trig, _) = self.get_trig(shift);

        let mut f2_buf = [MaybeUninit::<KissCpx>::uninit(); MAX_N4];
        // SAFETY: f2_buf[0..n4] is fully written by the pre-rotation loop below.
        let f2 = unsafe { std::slice::from_raw_parts_mut(f2_buf.as_mut_ptr() as *mut KissCpx, n4) };

        #[cfg(target_arch = "aarch64")]
        {
            mdct_backward_pre_rotation_neon(input, f2, trig, &st.bitrev[..n4], n4, n2, stride);
        }
        #[cfg(not(target_arch = "aarch64"))]
        for i in 0..n4 {
            let rev = st.bitrev[i] as usize;
            let x1 = input[2 * i * stride];
            let x2 = input[stride * (n2 - 1 - 2 * i)];
            let t0 = trig[i];
            let t1 = trig[n4 + i];

            let yr = x2 * t0 + x1 * t1;
            let yi = x1 * t0 - x2 * t1;

            f2[rev] = KissCpx::new(yi, yr);
        }

        opus_fft_impl(st, f2);

        // Post-rotate: write directly from f2 into output[overlap2..overlap2+n2].
        assert!(output.len() >= overlap2 + n2);

        #[cfg(target_arch = "aarch64")]
        {
            mdct_backward_post_rotation_neon(f2, trig, output, n4, n2, overlap2);
        }
        #[cfg(not(target_arch = "aarch64"))]
        for i in 0..((n4 + 1) >> 1) {
            let im0 = f2[i].r;
            let re0 = f2[i].i;
            let t0_0 = trig[i];
            let t1_0 = trig[n4 + i];

            let yr0 = re0 * t0_0 + im0 * t1_0;
            let yi0 = re0 * t1_0 - im0 * t0_0;

            let j = n4 - 1 - i;
            let im1 = f2[j].r;
            let re1 = f2[j].i;
            let t0_1 = trig[j];
            let t1_1 = trig[n4 + j];

            let yr1 = re1 * t0_1 + im1 * t1_1;
            let yi1 = re1 * t1_1 - im1 * t0_1;

            output[overlap2 + 2 * i] = yr0;
            output[overlap2 + n2 - 1 - 2 * i] = yi0;
            output[overlap2 + n2 - 2 - 2 * i] = yr1;
            output[overlap2 + 2 * i + 1] = yi1;
        }

        // Apply TDAC to overlap region
        #[cfg(target_arch = "aarch64")]
        {
            mdct_tdac_neon(output, window, overlap);
        }
        #[cfg(not(target_arch = "aarch64"))]
        for i in 0..overlap2 {
            let x1 = output[overlap - 1 - i];
            let x2 = output[i];
            let wp1 = window[i];
            let wp2 = window[overlap - 1 - i];

            output[i] = x2 * wp2 - x1 * wp1;
            output[overlap - 1 - i] = x2 * wp1 + x1 * wp2;
        }
    }
}

/// NEON-optimized MDCT pre-rotation: complex multiply with trig table + bitrev scatter
#[cfg(target_arch = "aarch64")]
#[inline(always)]
fn mdct_pre_rotation_neon(
    f: &[f32],
    f2: &mut [KissCpx],
    trig: &[f32],
    bitrev: &[i16],
    n4: usize,
    scale: f32,
) {
    use std::arch::aarch64::*;

    unsafe {
        let vscale = vdupq_n_f32(scale);
        let f_ptr = f.as_ptr();
        let trig_ptr = trig.as_ptr();
        let bitrev_ptr = bitrev.as_ptr();
        let f2_ptr = f2.as_mut_ptr() as *mut f32;

        // Process 4 complex pairs at a time
        let n4_vec = n4 & !3;
        let mut i = 0;

        while i < n4_vec {
            // Gather trig values: t0 = trig[i..i+4], t1 = trig[n4+i..n4+i+4]
            let t0 = vld1q_f32(trig_ptr.add(i));
            let t1 = vld1q_f32(trig_ptr.add(n4 + i));

            // Load re/im as interleaved from f[2*i], f[2*i+1]
            // f layout: [re0, im0, re1, im1, re2, im2, re3, im3, ...]
            let f0 = vld1q_f32(f_ptr.add(2 * i));      // re0, im0, re1, im1
            let f1 = vld1q_f32(f_ptr.add(2 * i + 4));   // re2, im2, re3, im3

            // Deinterleave re and im using vuzpq (unzip even/odd)
            let even_odd = vuzpq_f32(f0, f1);
            let re_v = even_odd.0; // [re0, re1, re2, re3]
            let im_v = even_odd.1; // [im0, im1, im2, im3]

            // Complex multiply: yr = re*t0 - im*t1, yi = im*t0 + re*t1
            let yr = vsubq_f32(vmulq_f32(re_v, t0), vmulq_f32(im_v, t1));
            let yi = vaddq_f32(vmulq_f32(im_v, t0), vmulq_f32(re_v, t1));

            // Apply scale
            let yr = vmulq_f32(yr, vscale);
            let yi = vmulq_f32(yi, vscale);

            // Scatter to bitrev positions (unavoidable scalar)
            let yr_arr: [f32; 4] = std::mem::transmute(yr);
            let yi_arr: [f32; 4] = std::mem::transmute(yi);

            for j in 0..4 {
                let rev = *bitrev_ptr.add(i + j) as usize;
                *f2_ptr.add(2 * rev) = yr_arr[j];
                *f2_ptr.add(2 * rev + 1) = yi_arr[j];
            }

            i += 4;
        }

        // Scalar tail
        for i in n4_vec..n4 {
            let re = *f_ptr.add(2 * i);
            let im = *f_ptr.add(2 * i + 1);
            let t0 = *trig_ptr.add(i);
            let t1 = *trig_ptr.add(n4 + i);
            let yr = re * t0 - im * t1;
            let yi = im * t0 + re * t1;
            let rev = *bitrev_ptr.add(i) as usize;
            *f2_ptr.add(2 * rev) = yr * scale;
            *f2_ptr.add(2 * rev + 1) = yi * scale;
        }
    }
}

/// NEON-optimized MDCT post-rotation: complex multiply with trig table + stride scatter
#[cfg(target_arch = "aarch64")]
#[inline(always)]
fn mdct_post_rotation_neon(
    f2: &[KissCpx],
    trig: &[f32],
    output: &mut [f32],
    n4: usize,
    n2: usize,
    stride: usize,
) {
    use std::arch::aarch64::*;

    // When stride > 1, NEON isn't beneficial due to scattered writes
    if stride > 1 {
        for i in 0..n4 {
            let fp = &f2[i];
            let t0 = trig[i];
            let t1 = trig[n4 + i];
            let yr = fp.i * t1 - fp.r * t0;
            let yi = fp.r * t1 + fp.i * t0;
            output[i * 2 * stride] = yr;
            output[stride * (n2 - 1 - 2 * i)] = yi;
        }
        return;
    }

    unsafe {
        let f2_ptr = f2.as_ptr() as *const f32;
        let trig_ptr = trig.as_ptr();
        let out_ptr = output.as_mut_ptr();

        // Process 4 complex pairs at a time (stride=1)
        let n4_vec = n4 & !3;
        let mut i = 0;

        while i < n4_vec {
            // Load 4 KissCpx values (interleaved r,i)
            let c0 = vld1q_f32(f2_ptr.add(2 * i));      // r0, i0, r1, i1
            let c1 = vld1q_f32(f2_ptr.add(2 * i + 4));   // r2, i2, r3, i3

            // Load trig
            let t0 = vld1q_f32(trig_ptr.add(i));
            let t1 = vld1q_f32(trig_ptr.add(n4 + i));

            // Deinterleave r and i
            let ri = vuzpq_f32(c0, c1);
            let r_v = ri.0; // [r0, r1, r2, r3]
            let i_v = ri.1; // [i0, i1, i2, i3]

            // yr = i * t1 - r * t0
            let yr = vsubq_f32(vmulq_f32(i_v, t1), vmulq_f32(r_v, t0));
            // yi = r * t1 + i * t0
            let yi = vaddq_f32(vmulq_f32(r_v, t1), vmulq_f32(i_v, t0));

            // Store yr to output[2*i, 2*i+2, 2*i+4, 2*i+6]
            let yr_arr: [f32; 4] = std::mem::transmute(yr);
            let yi_arr: [f32; 4] = std::mem::transmute(yi);

            // output[i*2] = yr, output[n2-1-2*i] = yi (strided by 2)
            for j in 0..4 {
                *out_ptr.add((i + j) * 2) = yr_arr[j];
                *out_ptr.add(n2 - 1 - 2 * (i + j)) = yi_arr[j];
            }

            i += 4;
        }

        // Scalar tail
        for i in n4_vec..n4 {
            let fp = &f2[i];
            let t0 = trig[i];
            let t1 = trig[n4 + i];
            let yr = fp.i * t1 - fp.r * t0;
            let yi = fp.r * t1 + fp.i * t0;
            output[i * 2] = yr;
            output[n2 - 1 - 2 * i] = yi;
        }
    }
}

/// NEON-optimized MDCT backward pre-rotation: complex multiply with trig table + bitrev scatter
#[cfg(target_arch = "aarch64")]
#[inline(always)]
fn mdct_backward_pre_rotation_neon(
    input: &[f32],
    f2: &mut [KissCpx],
    trig: &[f32],
    bitrev: &[i16],
    n4: usize,
    n2: usize,
    stride: usize,
) {
    use std::arch::aarch64::*;

    // Fall back to scalar for non-unit stride (scattered input access)
    if stride != 1 {
        for i in 0..n4 {
            let rev = bitrev[i] as usize;
            let x1 = input[2 * i];
            let x2 = input[n2 - 1 - 2 * i];
            let t0 = trig[i];
            let t1 = trig[n4 + i];
            let yr = x2 * t0 + x1 * t1;
            let yi = x1 * t0 - x2 * t1;
            f2[rev] = KissCpx::new(yi, yr);
        }
        return;
    }

    unsafe {
        let in_ptr = input.as_ptr();
        let trig_ptr = trig.as_ptr();
        let bitrev_ptr = bitrev.as_ptr();
        let f2_ptr = f2.as_mut_ptr() as *mut f32;

        let n4_vec = n4 & !3;
        let mut i = 0;

        while i < n4_vec {
            // Load 4 x1 values from input[2*i], input[2*(i+1)], ... (stride 2)
            let f0 = vld1q_f32(in_ptr.add(2 * i));
            let f1 = vld1q_f32(in_ptr.add(2 * i + 4));
            let deint_x1 = vuzpq_f32(f0, f1);
            let x1_v = deint_x1.0; // [x1[i], x1[i+1], x1[i+2], x1[i+3]]

            // Load 4 x2 values from input[n2-1-2*i], input[n2-3-2*i], ... (stride 2, backward)
            // x2[i..i+3] are at indices: n2-1-2i, n2-3-2i, n2-5-2i, n2-7-2i
            // Contiguous block: input[n2-7-2*i .. n2-1-2*i+1]
            let g0 = vld1q_f32(in_ptr.add(n2 - 7 - 2 * i));
            let g1 = vld1q_f32(in_ptr.add(n2 - 3 - 2 * i));
            let deint_x2 = vuzpq_f32(g0, g1);
            // deint_x2.0 = [in[n2-7-2i], in[n2-5-2i], in[n2-3-2i], in[n2-1-2i]]
            //            = [x2[i+3], x2[i+2], x2[i+1], x2[i]]
            let x2_raw = deint_x2.0;
            let x2_v = vrev64q_f32(x2_raw);
            let x2_v = vextq_f32(x2_v, x2_v, 2); // reverse → [x2[i], x2[i+1], x2[i+2], x2[i+3]]

            // Load trig (contiguous)
            let t0 = vld1q_f32(trig_ptr.add(i));
            let t1 = vld1q_f32(trig_ptr.add(n4 + i));

            // Complex multiply: yr = x2*t0 + x1*t1, yi = x1*t0 - x2*t1
            let yr = vaddq_f32(vmulq_f32(x2_v, t0), vmulq_f32(x1_v, t1));
            let yi = vsubq_f32(vmulq_f32(x1_v, t0), vmulq_f32(x2_v, t1));

            // Scatter to bitrev positions (scalar stores)
            let yr_arr: [f32; 4] = std::mem::transmute(yr);
            let yi_arr: [f32; 4] = std::mem::transmute(yi);

            for j in 0..4 {
                let rev = *bitrev_ptr.add(i + j) as usize;
                *f2_ptr.add(2 * rev) = yi_arr[j];     // f2[rev].r = yi
                *f2_ptr.add(2 * rev + 1) = yr_arr[j]; // f2[rev].i = yr
            }

            i += 4;
        }

        // Scalar tail
        for i in n4_vec..n4 {
            let rev = *bitrev_ptr.add(i) as usize;
            let x1 = *in_ptr.add(2 * i);
            let x2 = *in_ptr.add(n2 - 1 - 2 * i);
            let t0 = *trig_ptr.add(i);
            let t1 = *trig_ptr.add(n4 + i);
            let yr = x2 * t0 + x1 * t1;
            let yi = x1 * t0 - x2 * t1;
            *f2_ptr.add(2 * rev) = yi;
            *f2_ptr.add(2 * rev + 1) = yr;
        }
    }
}

/// NEON-optimized backward MDCT post-rotation (pairs from both ends)
#[cfg(target_arch = "aarch64")]
#[inline(always)]
fn mdct_backward_post_rotation_neon(
    f2: &[KissCpx],
    trig: &[f32],
    output: &mut [f32],
    n4: usize,
    n2: usize,
    overlap2: usize,
) {
    unsafe {
        let trig_ptr = trig.as_ptr();
        let out_base = output.as_mut_ptr().add(overlap2);

        // Process pairs from both ends: i and n4-1-i
        // Each iteration produces 4 output values
        let half = (n4 + 1) >> 1;

        let mut i = 0;
        while i + 1 < half {
            let j0 = n4 - 1 - i;
            let j1 = n4 - 1 - (i + 1);

            // Load 4 f2 values (i, i+1 from low end; j1, j0 from high end)
            // Process i and j0 as a pair
            let re0 = f2[i].i;
            let im0 = f2[i].r;
            let t0_0 = *trig_ptr.add(i);
            let t1_0 = *trig_ptr.add(n4 + i);
            let yr0 = re0 * t0_0 + im0 * t1_0;
            let yi0 = re0 * t1_0 - im0 * t0_0;

            let im1 = f2[j0].r;
            let re1 = f2[j0].i;
            let t0_1 = *trig_ptr.add(j0);
            let t1_1 = *trig_ptr.add(n4 + j0);
            let yr1 = re1 * t0_1 + im1 * t1_1;
            let yi1 = re1 * t1_1 - im1 * t0_1;

            *out_base.add(2 * i) = yr0;
            *out_base.add(n2 - 1 - 2 * i) = yi0;
            *out_base.add(n2 - 2 - 2 * i) = yr1;
            *out_base.add(2 * i + 1) = yi1;

            // Process i+1 and j1
            let re0b = f2[i + 1].i;
            let im0b = f2[i + 1].r;
            let t0_0b = *trig_ptr.add(i + 1);
            let t1_0b = *trig_ptr.add(n4 + i + 1);
            let yr0b = re0b * t0_0b + im0b * t1_0b;
            let yi0b = re0b * t1_0b - im0b * t0_0b;

            let im1b = f2[j1].r;
            let re1b = f2[j1].i;
            let t0_1b = *trig_ptr.add(j1);
            let t1_1b = *trig_ptr.add(n4 + j1);
            let yr1b = re1b * t0_1b + im1b * t1_1b;
            let yi1b = re1b * t1_1b - im1b * t0_1b;

            *out_base.add(2 * (i + 1)) = yr0b;
            *out_base.add(n2 - 1 - 2 * (i + 1)) = yi0b;
            *out_base.add(n2 - 2 - 2 * (i + 1)) = yr1b;
            *out_base.add(2 * (i + 1) + 1) = yi1b;

            i += 2;
        }

        // Handle odd center element
        if i < half {
            let j = n4 - 1 - i;
            let im0 = f2[i].r;
            let re0 = f2[i].i;
            let t0_0 = *trig_ptr.add(i);
            let t1_0 = *trig_ptr.add(n4 + i);
            let yr0 = re0 * t0_0 + im0 * t1_0;
            let yi0 = re0 * t1_0 - im0 * t0_0;

            let im1 = f2[j].r;
            let re1 = f2[j].i;
            let t0_1 = *trig_ptr.add(j);
            let t1_1 = *trig_ptr.add(n4 + j);
            let yr1 = re1 * t0_1 + im1 * t1_1;
            let yi1 = re1 * t1_1 - im1 * t0_1;

            *out_base.add(2 * i) = yr0;
            *out_base.add(n2 - 1 - 2 * i) = yi0;
            *out_base.add(n2 - 2 - 2 * i) = yr1;
            *out_base.add(2 * i + 1) = yi1;
        }
    }
}

/// NEON-optimized TDAC (time-domain aliasing cancellation)
#[cfg(target_arch = "aarch64")]
#[inline(always)]
fn mdct_tdac_neon(output: &mut [f32], window: &[f32], overlap: usize) {
    use std::arch::aarch64::*;

    let overlap2 = overlap / 2;
    if overlap2 < 4 {
        // Too small for NEON
        for i in 0..overlap2 {
            let x1 = output[overlap - 1 - i];
            let x2 = output[i];
            let wp1 = window[i];
            let wp2 = window[overlap - 1 - i];
            output[i] = x2 * wp2 - x1 * wp1;
            output[overlap - 1 - i] = x2 * wp1 + x1 * wp2;
        }
        return;
    }

    unsafe {
        let out_ptr = output.as_mut_ptr();
        let win_ptr = window.as_ptr();
        let n4 = overlap2 & !3;
        let mut i = 0;

        while i < n4 {
            // Load output[i..i+4] (forward) and output[overlap-1-i..overlap-4-i] (reverse)
            let x2_fwd = vld1q_f32(out_ptr.add(i));
            let x1_rev = vld1q_f32(out_ptr.add(overlap - 4 - i)); // reversed order

            // Reverse x1_rev to get [overlap-1-i, overlap-2-i, overlap-3-i, overlap-4-i]
            let x1 = vrev64q_f32(x1_rev);
            let x1 = vextq_f32(x1, x1, 2); // swap the two 64-bit halves

            // Load window[i..i+4] and window[overlap-1-i..overlap-4-i]
            let wp1_fwd = vld1q_f32(win_ptr.add(i));
            let wp2_rev = vld1q_f32(win_ptr.add(overlap - 4 - i));
            let wp2 = vrev64q_f32(wp2_rev);
            let wp2 = vextq_f32(wp2, wp2, 2);
            let wp1 = wp1_fwd;

            // output[i] = x2 * wp2 - x1 * wp1
            let out_fwd = vsubq_f32(vmulq_f32(x2_fwd, wp2), vmulq_f32(x1, wp1));
            // output[overlap-1-i] = x2 * wp1 + x1 * wp2
            let out_rev = vaddq_f32(vmulq_f32(x2_fwd, wp1), vmulq_f32(x1, wp2));

            // Reverse out_rev for storage
            let out_rev = vrev64q_f32(out_rev);
            let out_rev = vextq_f32(out_rev, out_rev, 2);

            vst1q_f32(out_ptr.add(i), out_fwd);
            vst1q_f32(out_ptr.add(overlap - 4 - i), out_rev);

            i += 4;
        }

        for i in n4..overlap2 {
            let x1 = output[overlap - 1 - i];
            let x2 = output[i];
            output[i] = x2 * window[overlap - 1 - i] - x1 * window[i];
            output[overlap - 1 - i] = x2 * window[i] + x1 * window[overlap - 1 - i];
        }
    }
}