#ifndef PHASE_SHIFTER_H
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#define PHASE_SHIFTER_H
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#ifdef HAVE_SSE_INTRINSICS
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#include <xmmintrin.h>
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#elif defined(HAVE_NEON)
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#include <arm_neon.h>
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#endif
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#include <array>
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#include <stddef.h>
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#include "alcomplex.h"
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#include "alspan.h"
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/* Implements a wide-band +90 degree phase-shift. Note that this should be
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* given one sample less of a delay (FilterSize/2 - 1) compared to the direct
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* signal delay (FilterSize/2) to properly align.
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*/
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template<size_t FilterSize>
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struct PhaseShifterT {
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static_assert(FilterSize >= 16, "FilterSize needs to be at least 16");
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static_assert((FilterSize&(FilterSize-1)) == 0, "FilterSize needs to be power-of-two");
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alignas(16) std::array<float,FilterSize/2> mCoeffs{};
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/* Some notes on this filter construction.
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*
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* A wide-band phase-shift filter needs a delay to maintain linearity. A
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* dirac impulse in the center of a time-domain buffer represents a filter
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* passing all frequencies through as-is with a pure delay. Converting that
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* to the frequency domain, adjusting the phase of each frequency bin by
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* +90 degrees, then converting back to the time domain, results in a FIR
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* filter that applies a +90 degree wide-band phase-shift.
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*
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* A particularly notable aspect of the time-domain filter response is that
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* every other coefficient is 0. This allows doubling the effective size of
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* the filter, by storing only the non-0 coefficients and double-stepping
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* over the input to apply it.
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*
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* Additionally, the resulting filter is independent of the sample rate.
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* The same filter can be applied regardless of the device's sample rate
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* and achieve the same effect.
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*/
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PhaseShifterT()
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{
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using complex_d = std::complex<double>;
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constexpr size_t fft_size{FilterSize};
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constexpr size_t half_size{fft_size / 2};
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auto fftBuffer = std::make_unique<complex_d[]>(fft_size);
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std::fill_n(fftBuffer.get(), fft_size, complex_d{});
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fftBuffer[half_size] = 1.0;
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forward_fft({fftBuffer.get(), fft_size});
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for(size_t i{0};i < half_size+1;++i)
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fftBuffer[i] = complex_d{-fftBuffer[i].imag(), fftBuffer[i].real()};
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for(size_t i{half_size+1};i < fft_size;++i)
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fftBuffer[i] = std::conj(fftBuffer[fft_size - i]);
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inverse_fft({fftBuffer.get(), fft_size});
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auto fftiter = fftBuffer.get() + half_size + (FilterSize/2 - 1);
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for(float &coeff : mCoeffs)
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{
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coeff = static_cast<float>(fftiter->real() / double{fft_size});
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fftiter -= 2;
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}
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}
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void process(al::span<float> dst, const float *RESTRICT src) const;
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void processAccum(al::span<float> dst, const float *RESTRICT src) const;
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private:
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#if defined(HAVE_NEON)
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/* There doesn't seem to be NEON intrinsics to do this kind of stipple
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* shuffling, so there's two custom methods for it.
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*/
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static auto shuffle_2020(float32x4_t a, float32x4_t b)
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{
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float32x4_t ret{vmovq_n_f32(vgetq_lane_f32(a, 0))};
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ret = vsetq_lane_f32(vgetq_lane_f32(a, 2), ret, 1);
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ret = vsetq_lane_f32(vgetq_lane_f32(b, 0), ret, 2);
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ret = vsetq_lane_f32(vgetq_lane_f32(b, 2), ret, 3);
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return ret;
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}
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static auto shuffle_3131(float32x4_t a, float32x4_t b)
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{
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float32x4_t ret{vmovq_n_f32(vgetq_lane_f32(a, 1))};
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ret = vsetq_lane_f32(vgetq_lane_f32(a, 3), ret, 1);
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ret = vsetq_lane_f32(vgetq_lane_f32(b, 1), ret, 2);
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ret = vsetq_lane_f32(vgetq_lane_f32(b, 3), ret, 3);
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return ret;
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}
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static auto unpacklo(float32x4_t a, float32x4_t b)
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{
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float32x2x2_t result{vzip_f32(vget_low_f32(a), vget_low_f32(b))};
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return vcombine_f32(result.val[0], result.val[1]);
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}
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static auto unpackhi(float32x4_t a, float32x4_t b)
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{
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float32x2x2_t result{vzip_f32(vget_high_f32(a), vget_high_f32(b))};
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return vcombine_f32(result.val[0], result.val[1]);
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}
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static auto load4(float32_t a, float32_t b, float32_t c, float32_t d)
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{
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float32x4_t ret{vmovq_n_f32(a)};
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ret = vsetq_lane_f32(b, ret, 1);
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ret = vsetq_lane_f32(c, ret, 2);
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ret = vsetq_lane_f32(d, ret, 3);
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return ret;
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}
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#endif
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};
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template<size_t S>
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inline void PhaseShifterT<S>::process(al::span<float> dst, const float *RESTRICT src) const
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{
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#ifdef HAVE_SSE_INTRINSICS
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if(size_t todo{dst.size()>>1})
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{
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auto *out = reinterpret_cast<__m64*>(dst.data());
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do {
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__m128 r04{_mm_setzero_ps()};
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__m128 r14{_mm_setzero_ps()};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const __m128 coeffs{_mm_load_ps(&mCoeffs[j])};
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const __m128 s0{_mm_loadu_ps(&src[j*2])};
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const __m128 s1{_mm_loadu_ps(&src[j*2 + 4])};
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__m128 s{_mm_shuffle_ps(s0, s1, _MM_SHUFFLE(2, 0, 2, 0))};
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r04 = _mm_add_ps(r04, _mm_mul_ps(s, coeffs));
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s = _mm_shuffle_ps(s0, s1, _MM_SHUFFLE(3, 1, 3, 1));
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r14 = _mm_add_ps(r14, _mm_mul_ps(s, coeffs));
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}
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src += 2;
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__m128 r4{_mm_add_ps(_mm_unpackhi_ps(r04, r14), _mm_unpacklo_ps(r04, r14))};
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r4 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
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_mm_storel_pi(out, r4);
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++out;
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} while(--todo);
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}
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if((dst.size()&1))
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{
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__m128 r4{_mm_setzero_ps()};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const __m128 coeffs{_mm_load_ps(&mCoeffs[j])};
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const __m128 s{_mm_setr_ps(src[j*2], src[j*2 + 2], src[j*2 + 4], src[j*2 + 6])};
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r4 = _mm_add_ps(r4, _mm_mul_ps(s, coeffs));
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}
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r4 = _mm_add_ps(r4, _mm_shuffle_ps(r4, r4, _MM_SHUFFLE(0, 1, 2, 3)));
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r4 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
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dst.back() = _mm_cvtss_f32(r4);
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}
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#elif defined(HAVE_NEON)
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size_t pos{0};
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if(size_t todo{dst.size()>>1})
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{
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do {
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float32x4_t r04{vdupq_n_f32(0.0f)};
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float32x4_t r14{vdupq_n_f32(0.0f)};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const float32x4_t coeffs{vld1q_f32(&mCoeffs[j])};
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const float32x4_t s0{vld1q_f32(&src[j*2])};
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const float32x4_t s1{vld1q_f32(&src[j*2 + 4])};
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r04 = vmlaq_f32(r04, shuffle_2020(s0, s1), coeffs);
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r14 = vmlaq_f32(r14, shuffle_3131(s0, s1), coeffs);
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}
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src += 2;
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float32x4_t r4{vaddq_f32(unpackhi(r04, r14), unpacklo(r04, r14))};
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float32x2_t r2{vadd_f32(vget_low_f32(r4), vget_high_f32(r4))};
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vst1_f32(&dst[pos], r2);
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pos += 2;
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} while(--todo);
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}
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if((dst.size()&1))
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{
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float32x4_t r4{vdupq_n_f32(0.0f)};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const float32x4_t coeffs{vld1q_f32(&mCoeffs[j])};
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const float32x4_t s{load4(src[j*2], src[j*2 + 2], src[j*2 + 4], src[j*2 + 6])};
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r4 = vmlaq_f32(r4, s, coeffs);
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}
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r4 = vaddq_f32(r4, vrev64q_f32(r4));
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dst[pos] = vget_lane_f32(vadd_f32(vget_low_f32(r4), vget_high_f32(r4)), 0);
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}
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#else
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for(float &output : dst)
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{
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float ret{0.0f};
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for(size_t j{0};j < mCoeffs.size();++j)
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ret += src[j*2] * mCoeffs[j];
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output = ret;
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++src;
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}
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#endif
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}
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template<size_t S>
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inline void PhaseShifterT<S>::processAccum(al::span<float> dst, const float *RESTRICT src) const
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{
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#ifdef HAVE_SSE_INTRINSICS
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if(size_t todo{dst.size()>>1})
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{
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auto *out = reinterpret_cast<__m64*>(dst.data());
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do {
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__m128 r04{_mm_setzero_ps()};
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__m128 r14{_mm_setzero_ps()};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const __m128 coeffs{_mm_load_ps(&mCoeffs[j])};
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const __m128 s0{_mm_loadu_ps(&src[j*2])};
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const __m128 s1{_mm_loadu_ps(&src[j*2 + 4])};
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__m128 s{_mm_shuffle_ps(s0, s1, _MM_SHUFFLE(2, 0, 2, 0))};
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r04 = _mm_add_ps(r04, _mm_mul_ps(s, coeffs));
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s = _mm_shuffle_ps(s0, s1, _MM_SHUFFLE(3, 1, 3, 1));
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r14 = _mm_add_ps(r14, _mm_mul_ps(s, coeffs));
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}
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src += 2;
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__m128 r4{_mm_add_ps(_mm_unpackhi_ps(r04, r14), _mm_unpacklo_ps(r04, r14))};
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r4 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
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_mm_storel_pi(out, _mm_add_ps(_mm_loadl_pi(_mm_undefined_ps(), out), r4));
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++out;
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} while(--todo);
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}
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if((dst.size()&1))
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{
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__m128 r4{_mm_setzero_ps()};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const __m128 coeffs{_mm_load_ps(&mCoeffs[j])};
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const __m128 s{_mm_setr_ps(src[j*2], src[j*2 + 2], src[j*2 + 4], src[j*2 + 6])};
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r4 = _mm_add_ps(r4, _mm_mul_ps(s, coeffs));
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}
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r4 = _mm_add_ps(r4, _mm_shuffle_ps(r4, r4, _MM_SHUFFLE(0, 1, 2, 3)));
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r4 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
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dst.back() += _mm_cvtss_f32(r4);
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}
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#elif defined(HAVE_NEON)
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size_t pos{0};
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if(size_t todo{dst.size()>>1})
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{
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do {
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float32x4_t r04{vdupq_n_f32(0.0f)};
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float32x4_t r14{vdupq_n_f32(0.0f)};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const float32x4_t coeffs{vld1q_f32(&mCoeffs[j])};
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const float32x4_t s0{vld1q_f32(&src[j*2])};
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const float32x4_t s1{vld1q_f32(&src[j*2 + 4])};
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r04 = vmlaq_f32(r04, shuffle_2020(s0, s1), coeffs);
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r14 = vmlaq_f32(r14, shuffle_3131(s0, s1), coeffs);
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}
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src += 2;
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float32x4_t r4{vaddq_f32(unpackhi(r04, r14), unpacklo(r04, r14))};
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float32x2_t r2{vadd_f32(vget_low_f32(r4), vget_high_f32(r4))};
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vst1_f32(&dst[pos], vadd_f32(vld1_f32(&dst[pos]), r2));
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pos += 2;
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} while(--todo);
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}
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if((dst.size()&1))
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{
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float32x4_t r4{vdupq_n_f32(0.0f)};
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for(size_t j{0};j < mCoeffs.size();j+=4)
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{
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const float32x4_t coeffs{vld1q_f32(&mCoeffs[j])};
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const float32x4_t s{load4(src[j*2], src[j*2 + 2], src[j*2 + 4], src[j*2 + 6])};
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r4 = vmlaq_f32(r4, s, coeffs);
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}
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r4 = vaddq_f32(r4, vrev64q_f32(r4));
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dst[pos] += vget_lane_f32(vadd_f32(vget_low_f32(r4), vget_high_f32(r4)), 0);
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}
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#else
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for(float &output : dst)
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{
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float ret{0.0f};
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for(size_t j{0};j < mCoeffs.size();++j)
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ret += src[j*2] * mCoeffs[j];
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output += ret;
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++src;
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}
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#endif
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}
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#endif /* PHASE_SHIFTER_H */
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