/* Copyright 2009, 2011 Sebastian Gesemann. All rights reserved. Copyright 2020 Max Kellermann Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY SEBASTIAN GESEMANN ''AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SEBASTIAN GESEMANN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. The views and conclusions contained in the software and documentation are those of the authors and should not be interpreted as representing official policies, either expressed or implied, of Sebastian Gesemann. */ #include "Dsd2Pcm.hxx" #include "Traits.hxx" #include "util/BitReverse.hxx" #include "util/GenerateArray.hxx" #include #include #include /** number of FIR constants */ static constexpr size_t HTAPS = 48; /** number of "8 MACs" lookup tables */ static constexpr size_t CTABLES = (HTAPS + 7) / 8; static_assert(Dsd2Pcm::FIFOSIZE * 8 >= HTAPS * 2, "FIFOSIZE too small"); /* * Properties of this 96-tap lowpass filter when applied on a signal * with sampling rate of 44100*64 Hz: * * () has a delay of 17 microseconds. * * () flat response up to 48 kHz * * () if you downsample afterwards by a factor of 8, the * spectrum below 70 kHz is practically alias-free. * * () stopband rejection is about 160 dB * * The coefficient tables ("ctables") take only 6 Kibi Bytes and * should fit into a modern processor's fast cache. */ /* * The 2nd half (48 coeffs) of a 96-tap symmetric lowpass filter */ static constexpr double htaps[HTAPS] = { 0.09950731974056658, 0.09562845727714668, 0.08819647126516944, 0.07782552527068175, 0.06534876523171299, 0.05172629311427257, 0.0379429484910187, 0.02490921351762261, 0.0133774746265897, 0.003883043418804416, -0.003284703416210726, -0.008080250212687497, -0.01067241812471033, -0.01139427235000863, -0.0106813877974587, -0.009007905078766049, -0.006828859761015335, -0.004535184322001496, -0.002425035959059578, -0.0006922187080790708, 0.0005700762133516592, 0.001353838005269448, 0.001713709169690937, 0.001742046839472948, 0.001545601648013235, 0.001226696225277855, 0.0008704322683580222, 0.0005381636200535649, 0.000266446345425276, 7.002968738383528e-05, -5.279407053811266e-05, -0.0001140625650874684, -0.0001304796361231895, -0.0001189970287491285, -9.396247155265073e-05, -6.577634378272832e-05, -4.07492895872535e-05, -2.17407957554587e-05, -9.163058931391722e-06, -2.017460145032201e-06, 1.249721855219005e-06, 2.166655190537392e-06, 1.930520892991082e-06, 1.319400334374195e-06, 7.410039764949091e-07, 3.423230509967409e-07, 1.244182214744588e-07, 3.130441005359396e-08 }; static constexpr float CalculateCtableValue(size_t t, int k, int e) noexcept { double acc = 0; for (int m = 0; m < k; ++m) { acc += (((e >> (7 - m)) & 1) * 2 - 1) * htaps[t * 8 + m]; } return float(acc); } static constexpr auto GenerateCtable(int t) noexcept { int k = HTAPS - t*8; if (k>8) k=8; const size_t t_ = CTABLES - 1 - t; return GenerateArray<256>([t_, k](int e){ return CalculateCtableValue(t_, k, e); }); } static constexpr auto ctables = GenerateArray(GenerateCtable); template> static constexpr auto CalculateCtableS24Value(size_t i, size_t j) noexcept { return typename Traits::value_type(ctables[i][j] * Traits::MAX); } struct GenerateCtableS24Value { size_t i; constexpr auto operator()(size_t j) const noexcept { return CalculateCtableS24Value(i, j); } }; static constexpr auto GenerateCtableS24(size_t i) noexcept { return GenerateArray<256>(GenerateCtableS24Value{i}); } static constexpr auto ctables_s24 = GenerateArray(GenerateCtableS24); void Dsd2Pcm::Reset() noexcept { /* my favorite silence pattern */ std::fill_n(fifo, std::size(fifo), 0x69); fifopos = 0; /* 0x69 = 01101001 * This pattern "on repeat" makes a low energy 352.8 kHz tone * and a high energy 1.0584 MHz tone which should be filtered * out completely by any playback system --> silence */ } inline void Dsd2Pcm::ApplySample(size_t ffp, uint8_t src) noexcept { fifo[ffp] = src; uint8_t *p = fifo + ((ffp-CTABLES) & FIFOMASK); *p = bit_reverse(*p); } inline float Dsd2Pcm::CalcOutputSample(size_t ffp) const noexcept { double acc = 0; for (size_t i = 0; i < CTABLES; ++i) { uint8_t bite1 = fifo[(ffp -i) & FIFOMASK]; uint8_t bite2 = fifo[(ffp-(CTABLES*2-1)+i) & FIFOMASK]; acc += double(ctables[i][bite1] + ctables[i][bite2]); } return float(acc); } inline float Dsd2Pcm::TranslateSample(size_t ffp, uint8_t src) noexcept { ApplySample(ffp, src); return CalcOutputSample(ffp); } inline int32_t Dsd2Pcm::CalcOutputSampleS24(size_t ffp) const noexcept { int32_t acc = 0; for (size_t i = 0; i < CTABLES; ++i) { uint8_t bite1 = fifo[(ffp -i) & FIFOMASK]; uint8_t bite2 = fifo[(ffp-(CTABLES*2-1)+i) & FIFOMASK]; acc += ctables_s24[i][bite1] + ctables_s24[i][bite2]; } return acc; } inline int32_t Dsd2Pcm::TranslateSampleS24(size_t ffp, uint8_t src) noexcept { ApplySample(ffp, src); return CalcOutputSampleS24(ffp); } void Dsd2Pcm::Translate(size_t samples, const uint8_t *gcc_restrict src, ptrdiff_t src_stride, float *dst, ptrdiff_t dst_stride) noexcept { size_t ffp = fifopos; while (samples-- > 0) { uint8_t bite1 = *src; src += src_stride; *dst = TranslateSample(ffp, bite1); dst += dst_stride; ffp = (ffp + 1) & FIFOMASK; } fifopos = ffp; } void Dsd2Pcm::TranslateS24(size_t samples, const uint8_t *gcc_restrict src, ptrdiff_t src_stride, int32_t *dst, ptrdiff_t dst_stride) noexcept { size_t ffp = fifopos; while (samples-- > 0) { uint8_t bite1 = *src; src += src_stride; *dst = TranslateSampleS24(ffp, bite1); dst += dst_stride; ffp = (ffp + 1) & FIFOMASK; } fifopos = ffp; } void MultiDsd2Pcm::Translate(unsigned channels, size_t n_frames, const uint8_t *src, float *dest) noexcept { assert(channels <= per_channel.max_size()); if (channels == 2) { TranslateStereo(n_frames, src, dest); return; } for (unsigned i = 0; i < channels; ++i) { per_channel[i].Translate(n_frames, src++, channels, dest++, channels); } } inline void MultiDsd2Pcm::TranslateStereo(size_t n_frames, const uint8_t *src, float *dest) noexcept { size_t ffp = fifopos; while (n_frames-- > 0) { *dest++ = per_channel[0].TranslateSample(ffp, *src++); *dest++ = per_channel[1].TranslateSample(ffp, *src++); ffp = (ffp + 1) & Dsd2Pcm::FIFOMASK; } fifopos = ffp; } void MultiDsd2Pcm::TranslateS24(unsigned channels, size_t n_frames, const uint8_t *src, int32_t *dest) noexcept { assert(channels <= per_channel.max_size()); if (channels == 2) { TranslateStereoS24(n_frames, src, dest); return; } for (unsigned i = 0; i < channels; ++i) { per_channel[i].TranslateS24(n_frames, src++, channels, dest++, channels); } } inline void MultiDsd2Pcm::TranslateStereoS24(size_t n_frames, const uint8_t *src, int32_t *dest) noexcept { size_t ffp = fifopos; while (n_frames-- > 0) { *dest++ = per_channel[0].TranslateSampleS24(ffp, *src++); *dest++ = per_channel[1].TranslateSampleS24(ffp, *src++); ffp = (ffp + 1) & Dsd2Pcm::FIFOMASK; } fifopos = ffp; }