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/*
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* 2-channel UHJ Decoder
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*
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* Copyright (c) Chris Robinson <chris.kcat@gmail.com>
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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#include "config.h"
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#include <array>
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#include <complex>
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#include <cstring>
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#include <memory>
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#include <stddef.h>
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#include <string>
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#include <utility>
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#include <vector>
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#include "albit.h"
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#include "albyte.h"
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#include "alcomplex.h"
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#include "almalloc.h"
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#include "alnumbers.h"
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#include "alspan.h"
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#include "vector.h"
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#include "opthelpers.h"
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#include "phase_shifter.h"
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#include "sndfile.h"
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#include "win_main_utf8.h"
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struct FileDeleter {
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void operator()(FILE *file) { fclose(file); }
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};
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using FilePtr = std::unique_ptr<FILE,FileDeleter>;
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struct SndFileDeleter {
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void operator()(SNDFILE *sndfile) { sf_close(sndfile); }
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};
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using SndFilePtr = std::unique_ptr<SNDFILE,SndFileDeleter>;
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using ubyte = unsigned char;
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using ushort = unsigned short;
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using uint = unsigned int;
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using complex_d = std::complex<double>;
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using byte4 = std::array<al::byte,4>;
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constexpr ubyte SUBTYPE_BFORMAT_FLOAT[]{
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0x03, 0x00, 0x00, 0x00, 0x21, 0x07, 0xd3, 0x11, 0x86, 0x44, 0xc8, 0xc1,
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0xca, 0x00, 0x00, 0x00
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};
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void fwrite16le(ushort val, FILE *f)
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{
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ubyte data[2]{ static_cast<ubyte>(val&0xff), static_cast<ubyte>((val>>8)&0xff) };
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fwrite(data, 1, 2, f);
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}
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void fwrite32le(uint val, FILE *f)
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{
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ubyte data[4]{ static_cast<ubyte>(val&0xff), static_cast<ubyte>((val>>8)&0xff),
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static_cast<ubyte>((val>>16)&0xff), static_cast<ubyte>((val>>24)&0xff) };
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fwrite(data, 1, 4, f);
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}
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template<al::endian = al::endian::native>
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byte4 f32AsLEBytes(const float &value) = delete;
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template<>
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byte4 f32AsLEBytes<al::endian::little>(const float &value)
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{
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byte4 ret{};
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std::memcpy(ret.data(), &value, 4);
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return ret;
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}
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template<>
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byte4 f32AsLEBytes<al::endian::big>(const float &value)
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{
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byte4 ret{};
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std::memcpy(ret.data(), &value, 4);
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std::swap(ret[0], ret[3]);
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std::swap(ret[1], ret[2]);
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return ret;
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}
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constexpr uint BufferLineSize{1024};
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using FloatBufferLine = std::array<float,BufferLineSize>;
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using FloatBufferSpan = al::span<float,BufferLineSize>;
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struct UhjDecoder {
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constexpr static size_t sFilterDelay{1024};
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alignas(16) std::array<float,BufferLineSize+sFilterDelay> mS{};
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alignas(16) std::array<float,BufferLineSize+sFilterDelay> mD{};
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alignas(16) std::array<float,BufferLineSize+sFilterDelay> mT{};
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alignas(16) std::array<float,BufferLineSize+sFilterDelay> mQ{};
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/* History for the FIR filter. */
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alignas(16) std::array<float,sFilterDelay-1> mDTHistory{};
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alignas(16) std::array<float,sFilterDelay-1> mSHistory{};
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alignas(16) std::array<float,BufferLineSize + sFilterDelay*2> mTemp{};
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void decode(const float *RESTRICT InSamples, const size_t InChannels,
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const al::span<FloatBufferLine> OutSamples, const size_t SamplesToDo);
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void decode2(const float *RESTRICT InSamples, const al::span<FloatBufferLine,3> OutSamples,
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const size_t SamplesToDo);
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DEF_NEWDEL(UhjDecoder)
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};
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const PhaseShifterT<UhjDecoder::sFilterDelay*2> PShift{};
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/* Decoding UHJ is done as:
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*
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* S = Left + Right
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* D = Left - Right
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*
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* W = 0.981532*S + 0.197484*j(0.828331*D + 0.767820*T)
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* X = 0.418496*S - j(0.828331*D + 0.767820*T)
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* Y = 0.795968*D - 0.676392*T + j(0.186633*S)
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* Z = 1.023332*Q
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*
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* where j is a +90 degree phase shift. 3-channel UHJ excludes Q, while 2-
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* channel excludes Q and T. The B-Format signal reconstructed from 2-channel
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* UHJ should not be run through a normal B-Format decoder, as it needs
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* different shelf filters.
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*
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* NOTE: Some sources specify
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*
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* S = (Left + Right)/2
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* D = (Left - Right)/2
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*
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* However, this is incorrect. It's halving Left and Right even though they
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* were already halved during encoding, causing S and D to be half what they
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* initially were at the encoding stage. This division is not present in
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* Gerzon's original paper for deriving Sigma (S) or Delta (D) from the L and R
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* signals. As proof, taking Y for example:
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*
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* Y = 0.795968*D - 0.676392*T + j(0.186633*S)
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*
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* * Plug in the encoding parameters, using ? as a placeholder for whether S
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* and D should receive an extra 0.5 factor
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* Y = 0.795968*(j(-0.3420201*W + 0.5098604*X) + 0.6554516*Y)*? -
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* 0.676392*(j(-0.1432*W + 0.6512*X) - 0.7071068*Y) +
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* 0.186633*j(0.9396926*W + 0.1855740*X)*?
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*
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* * Move common factors in
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* Y = (j(-0.3420201*0.795968*?*W + 0.5098604*0.795968*?*X) + 0.6554516*0.795968*?*Y) -
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* (j(-0.1432*0.676392*W + 0.6512*0.676392*X) - 0.7071068*0.676392*Y) +
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* j(0.9396926*0.186633*?*W + 0.1855740*0.186633*?*X)
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*
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* * Clean up extraneous groupings
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* Y = j(-0.3420201*0.795968*?*W + 0.5098604*0.795968*?*X) + 0.6554516*0.795968*?*Y -
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* j(-0.1432*0.676392*W + 0.6512*0.676392*X) + 0.7071068*0.676392*Y +
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* j*(0.9396926*0.186633*?*W + 0.1855740*0.186633*?*X)
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*
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* * Move phase shifts together and combine them
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* Y = j(-0.3420201*0.795968*?*W + 0.5098604*0.795968*?*X - -0.1432*0.676392*W -
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* 0.6512*0.676392*X + 0.9396926*0.186633*?*W + 0.1855740*0.186633*?*X) +
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* 0.6554516*0.795968*?*Y + 0.7071068*0.676392*Y
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*
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* * Reorder terms
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* Y = j(-0.3420201*0.795968*?*W + 0.1432*0.676392*W + 0.9396926*0.186633*?*W +
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* 0.5098604*0.795968*?*X + -0.6512*0.676392*X + 0.1855740*0.186633*?*X) +
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* 0.7071068*0.676392*Y + 0.6554516*0.795968*?*Y
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*
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* * Move common factors out
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* Y = j((-0.3420201*0.795968*? + 0.1432*0.676392 + 0.9396926*0.186633*?)*W +
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* ( 0.5098604*0.795968*? + -0.6512*0.676392 + 0.1855740*0.186633*?)*X) +
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* (0.7071068*0.676392 + 0.6554516*0.795968*?)*Y
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*
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* * Result w/ 0.5 factor:
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* -0.3420201*0.795968*0.5 + 0.1432*0.676392 + 0.9396926*0.186633*0.5 = 0.04843*W
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* 0.5098604*0.795968*0.5 + -0.6512*0.676392 + 0.1855740*0.186633*0.5 = -0.22023*X
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* 0.7071068*0.676392 + 0.6554516*0.795968*0.5 = 0.73914*Y
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* -> Y = j(0.04843*W + -0.22023*X) + 0.73914*Y
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*
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* * Result w/o 0.5 factor:
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* -0.3420201*0.795968 + 0.1432*0.676392 + 0.9396926*0.186633 = 0.00000*W
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* 0.5098604*0.795968 + -0.6512*0.676392 + 0.1855740*0.186633 = 0.00000*X
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* 0.7071068*0.676392 + 0.6554516*0.795968 = 1.00000*Y
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* -> Y = j(0.00000*W + 0.00000*X) + 1.00000*Y
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*
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* Not halving produces a result matching the original input.
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*/
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void UhjDecoder::decode(const float *RESTRICT InSamples, const size_t InChannels,
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const al::span<FloatBufferLine> OutSamples, const size_t SamplesToDo)
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{
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ASSUME(SamplesToDo > 0);
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float *woutput{OutSamples[0].data()};
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float *xoutput{OutSamples[1].data()};
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float *youtput{OutSamples[2].data()};
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/* Add a delay to the input channels, to align it with the all-passed
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* signal.
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*/
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/* S = Left + Right */
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for(size_t i{0};i < SamplesToDo;++i)
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mS[sFilterDelay+i] = InSamples[i*InChannels + 0] + InSamples[i*InChannels + 1];
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/* D = Left - Right */
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for(size_t i{0};i < SamplesToDo;++i)
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mD[sFilterDelay+i] = InSamples[i*InChannels + 0] - InSamples[i*InChannels + 1];
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if(InChannels > 2)
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{
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/* T */
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for(size_t i{0};i < SamplesToDo;++i)
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mT[sFilterDelay+i] = InSamples[i*InChannels + 2];
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}
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if(InChannels > 3)
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{
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/* Q */
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for(size_t i{0};i < SamplesToDo;++i)
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mQ[sFilterDelay+i] = InSamples[i*InChannels + 3];
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}
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/* Precompute j(0.828331*D + 0.767820*T) and store in xoutput. */
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auto tmpiter = std::copy(mDTHistory.cbegin(), mDTHistory.cend(), mTemp.begin());
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std::transform(mD.cbegin(), mD.cbegin()+SamplesToDo+sFilterDelay, mT.cbegin(), tmpiter,
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[](const float d, const float t) noexcept { return 0.828331f*d + 0.767820f*t; });
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std::copy_n(mTemp.cbegin()+SamplesToDo, mDTHistory.size(), mDTHistory.begin());
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PShift.process({xoutput, SamplesToDo}, mTemp.data());
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for(size_t i{0};i < SamplesToDo;++i)
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{
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/* W = 0.981532*S + 0.197484*j(0.828331*D + 0.767820*T) */
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woutput[i] = 0.981532f*mS[i] + 0.197484f*xoutput[i];
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/* X = 0.418496*S - j(0.828331*D + 0.767820*T) */
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xoutput[i] = 0.418496f*mS[i] - xoutput[i];
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}
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/* Precompute j*S and store in youtput. */
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tmpiter = std::copy(mSHistory.cbegin(), mSHistory.cend(), mTemp.begin());
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std::copy_n(mS.cbegin(), SamplesToDo+sFilterDelay, tmpiter);
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std::copy_n(mTemp.cbegin()+SamplesToDo, mSHistory.size(), mSHistory.begin());
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PShift.process({youtput, SamplesToDo}, mTemp.data());
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for(size_t i{0};i < SamplesToDo;++i)
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{
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/* Y = 0.795968*D - 0.676392*T + j(0.186633*S) */
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youtput[i] = 0.795968f*mD[i] - 0.676392f*mT[i] + 0.186633f*youtput[i];
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}
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if(OutSamples.size() > 3)
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{
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float *zoutput{OutSamples[3].data()};
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/* Z = 1.023332*Q */
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for(size_t i{0};i < SamplesToDo;++i)
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zoutput[i] = 1.023332f*mQ[i];
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}
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std::copy(mS.begin()+SamplesToDo, mS.begin()+SamplesToDo+sFilterDelay, mS.begin());
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std::copy(mD.begin()+SamplesToDo, mD.begin()+SamplesToDo+sFilterDelay, mD.begin());
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std::copy(mT.begin()+SamplesToDo, mT.begin()+SamplesToDo+sFilterDelay, mT.begin());
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std::copy(mQ.begin()+SamplesToDo, mQ.begin()+SamplesToDo+sFilterDelay, mQ.begin());
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}
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/* This is an alternative equation for decoding 2-channel UHJ. Not sure what
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* the intended benefit is over the above equation as this slightly reduces the
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* amount of the original left response and has more of the phase-shifted
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* forward response on the left response.
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*
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* This decoding is done as:
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*
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* S = Left + Right
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* D = Left - Right
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*
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* W = 0.981530*S + j*0.163585*D
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* X = 0.418504*S - j*0.828347*D
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* Y = 0.762956*D + j*0.384230*S
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*
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* where j is a +90 degree phase shift.
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*
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* NOTE: As above, S and D should not be halved. The only consequence of
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* halving here is merely a -6dB reduction in output, but it's still incorrect.
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*/
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void UhjDecoder::decode2(const float *RESTRICT InSamples,
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const al::span<FloatBufferLine,3> OutSamples, const size_t SamplesToDo)
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{
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ASSUME(SamplesToDo > 0);
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float *woutput{OutSamples[0].data()};
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float *xoutput{OutSamples[1].data()};
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float *youtput{OutSamples[2].data()};
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/* S = Left + Right */
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for(size_t i{0};i < SamplesToDo;++i)
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mS[sFilterDelay+i] = InSamples[i*2 + 0] + InSamples[i*2 + 1];
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/* D = Left - Right */
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for(size_t i{0};i < SamplesToDo;++i)
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mD[sFilterDelay+i] = InSamples[i*2 + 0] - InSamples[i*2 + 1];
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/* Precompute j*D and store in xoutput. */
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auto tmpiter = std::copy(mDTHistory.cbegin(), mDTHistory.cend(), mTemp.begin());
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std::copy_n(mD.cbegin(), SamplesToDo+sFilterDelay, tmpiter);
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std::copy_n(mTemp.cbegin()+SamplesToDo, mDTHistory.size(), mDTHistory.begin());
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PShift.process({xoutput, SamplesToDo}, mTemp.data());
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for(size_t i{0};i < SamplesToDo;++i)
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{
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/* W = 0.981530*S + j*0.163585*D */
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woutput[i] = 0.981530f*mS[i] + 0.163585f*xoutput[i];
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/* X = 0.418504*S - j*0.828347*D */
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xoutput[i] = 0.418504f*mS[i] - 0.828347f*xoutput[i];
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}
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/* Precompute j*S and store in youtput. */
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tmpiter = std::copy(mSHistory.cbegin(), mSHistory.cend(), mTemp.begin());
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std::copy_n(mS.cbegin(), SamplesToDo+sFilterDelay, tmpiter);
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std::copy_n(mTemp.cbegin()+SamplesToDo, mSHistory.size(), mSHistory.begin());
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PShift.process({youtput, SamplesToDo}, mTemp.data());
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for(size_t i{0};i < SamplesToDo;++i)
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{
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/* Y = 0.762956*D + j*0.384230*S */
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youtput[i] = 0.762956f*mD[i] + 0.384230f*youtput[i];
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}
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std::copy(mS.begin()+SamplesToDo, mS.begin()+SamplesToDo+sFilterDelay, mS.begin());
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std::copy(mD.begin()+SamplesToDo, mD.begin()+SamplesToDo+sFilterDelay, mD.begin());
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}
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|
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int main(int argc, char **argv)
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{
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if(argc < 2 || std::strcmp(argv[1], "-h") == 0 || std::strcmp(argv[1], "--help") == 0)
|
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{
|
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printf("Usage: %s <[options] filename.wav...>\n\n"
|
|
" Options:\n"
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" --general Use the general equations for 2-channel UHJ (default).\n"
|
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" --alternative Use the alternative equations for 2-channel UHJ.\n"
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"\n"
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"Note: When decoding 2-channel UHJ to an .amb file, the result should not use\n"
|
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"the normal B-Format shelf filters! Only 3- and 4-channel UHJ can accurately\n"
|
|
"reconstruct the original B-Format signal.",
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argv[0]);
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return 1;
|
|
}
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|
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size_t num_files{0}, num_decoded{0};
|
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bool use_general{true};
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|
for(int fidx{1};fidx < argc;++fidx)
|
|
{
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if(std::strcmp(argv[fidx], "--general") == 0)
|
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{
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use_general = true;
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continue;
|
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}
|
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if(std::strcmp(argv[fidx], "--alternative") == 0)
|
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{
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use_general = false;
|
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continue;
|
|
}
|
|
++num_files;
|
|
SF_INFO ininfo{};
|
|
SndFilePtr infile{sf_open(argv[fidx], SFM_READ, &ininfo)};
|
|
if(!infile)
|
|
{
|
|
fprintf(stderr, "Failed to open %s\n", argv[fidx]);
|
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continue;
|
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}
|
|
if(sf_command(infile.get(), SFC_WAVEX_GET_AMBISONIC, NULL, 0) == SF_AMBISONIC_B_FORMAT)
|
|
{
|
|
fprintf(stderr, "%s is already B-Format\n", argv[fidx]);
|
|
continue;
|
|
}
|
|
uint outchans{};
|
|
if(ininfo.channels == 2)
|
|
outchans = 3;
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|
else if(ininfo.channels == 3 || ininfo.channels == 4)
|
|
outchans = static_cast<uint>(ininfo.channels);
|
|
else
|
|
{
|
|
fprintf(stderr, "%s is not a 2-, 3-, or 4-channel file\n", argv[fidx]);
|
|
continue;
|
|
}
|
|
printf("Converting %s from %d-channel UHJ%s...\n", argv[fidx], ininfo.channels,
|
|
(ininfo.channels == 2) ? use_general ? " (general)" : " (alternative)" : "");
|
|
|
|
std::string outname{argv[fidx]};
|
|
auto lastslash = outname.find_last_of('/');
|
|
if(lastslash != std::string::npos)
|
|
outname.erase(0, lastslash+1);
|
|
auto lastdot = outname.find_last_of('.');
|
|
if(lastdot != std::string::npos)
|
|
outname.resize(lastdot+1);
|
|
outname += "amb";
|
|
|
|
FilePtr outfile{fopen(outname.c_str(), "wb")};
|
|
if(!outfile)
|
|
{
|
|
fprintf(stderr, "Failed to create %s\n", outname.c_str());
|
|
continue;
|
|
}
|
|
|
|
fputs("RIFF", outfile.get());
|
|
fwrite32le(0xFFFFFFFF, outfile.get()); // 'RIFF' header len; filled in at close
|
|
|
|
fputs("WAVE", outfile.get());
|
|
|
|
fputs("fmt ", outfile.get());
|
|
fwrite32le(40, outfile.get()); // 'fmt ' header len; 40 bytes for EXTENSIBLE
|
|
|
|
// 16-bit val, format type id (extensible: 0xFFFE)
|
|
fwrite16le(0xFFFE, outfile.get());
|
|
// 16-bit val, channel count
|
|
fwrite16le(static_cast<ushort>(outchans), outfile.get());
|
|
// 32-bit val, frequency
|
|
fwrite32le(static_cast<uint>(ininfo.samplerate), outfile.get());
|
|
// 32-bit val, bytes per second
|
|
fwrite32le(static_cast<uint>(ininfo.samplerate)*sizeof(float)*outchans, outfile.get());
|
|
// 16-bit val, frame size
|
|
fwrite16le(static_cast<ushort>(sizeof(float)*outchans), outfile.get());
|
|
// 16-bit val, bits per sample
|
|
fwrite16le(static_cast<ushort>(sizeof(float)*8), outfile.get());
|
|
// 16-bit val, extra byte count
|
|
fwrite16le(22, outfile.get());
|
|
// 16-bit val, valid bits per sample
|
|
fwrite16le(static_cast<ushort>(sizeof(float)*8), outfile.get());
|
|
// 32-bit val, channel mask
|
|
fwrite32le(0, outfile.get());
|
|
// 16 byte GUID, sub-type format
|
|
fwrite(SUBTYPE_BFORMAT_FLOAT, 1, 16, outfile.get());
|
|
|
|
fputs("data", outfile.get());
|
|
fwrite32le(0xFFFFFFFF, outfile.get()); // 'data' header len; filled in at close
|
|
if(ferror(outfile.get()))
|
|
{
|
|
fprintf(stderr, "Error writing wave file header: %s (%d)\n", strerror(errno), errno);
|
|
continue;
|
|
}
|
|
|
|
auto DataStart = ftell(outfile.get());
|
|
|
|
auto decoder = std::make_unique<UhjDecoder>();
|
|
auto inmem = std::make_unique<float[]>(BufferLineSize*static_cast<uint>(ininfo.channels));
|
|
auto decmem = al::vector<std::array<float,BufferLineSize>, 16>(outchans);
|
|
auto outmem = std::make_unique<byte4[]>(BufferLineSize*outchans);
|
|
|
|
/* A number of initial samples need to be skipped to cut the lead-in
|
|
* from the all-pass filter delay. The same number of samples need to
|
|
* be fed through the decoder after reaching the end of the input file
|
|
* to ensure none of the original input is lost.
|
|
*/
|
|
size_t LeadIn{UhjDecoder::sFilterDelay};
|
|
sf_count_t LeadOut{UhjDecoder::sFilterDelay};
|
|
while(LeadOut > 0)
|
|
{
|
|
sf_count_t sgot{sf_readf_float(infile.get(), inmem.get(), BufferLineSize)};
|
|
sgot = std::max<sf_count_t>(sgot, 0);
|
|
if(sgot < BufferLineSize)
|
|
{
|
|
const sf_count_t remaining{std::min(BufferLineSize - sgot, LeadOut)};
|
|
std::fill_n(inmem.get() + sgot*ininfo.channels, remaining*ininfo.channels, 0.0f);
|
|
sgot += remaining;
|
|
LeadOut -= remaining;
|
|
}
|
|
|
|
auto got = static_cast<size_t>(sgot);
|
|
if(ininfo.channels > 2 || use_general)
|
|
decoder->decode(inmem.get(), static_cast<uint>(ininfo.channels), decmem, got);
|
|
else
|
|
decoder->decode2(inmem.get(), decmem, got);
|
|
if(LeadIn >= got)
|
|
{
|
|
LeadIn -= got;
|
|
continue;
|
|
}
|
|
|
|
got -= LeadIn;
|
|
for(size_t i{0};i < got;++i)
|
|
{
|
|
/* Attenuate by -3dB for FuMa output levels. */
|
|
constexpr auto inv_sqrt2 = static_cast<float>(1.0/al::numbers::sqrt2);
|
|
for(size_t j{0};j < outchans;++j)
|
|
outmem[i*outchans + j] = f32AsLEBytes(decmem[j][LeadIn+i] * inv_sqrt2);
|
|
}
|
|
LeadIn = 0;
|
|
|
|
size_t wrote{fwrite(outmem.get(), sizeof(byte4)*outchans, got, outfile.get())};
|
|
if(wrote < got)
|
|
{
|
|
fprintf(stderr, "Error writing wave data: %s (%d)\n", strerror(errno), errno);
|
|
break;
|
|
}
|
|
}
|
|
|
|
auto DataEnd = ftell(outfile.get());
|
|
if(DataEnd > DataStart)
|
|
{
|
|
long dataLen{DataEnd - DataStart};
|
|
if(fseek(outfile.get(), 4, SEEK_SET) == 0)
|
|
fwrite32le(static_cast<uint>(DataEnd-8), outfile.get()); // 'WAVE' header len
|
|
if(fseek(outfile.get(), DataStart-4, SEEK_SET) == 0)
|
|
fwrite32le(static_cast<uint>(dataLen), outfile.get()); // 'data' header len
|
|
}
|
|
fflush(outfile.get());
|
|
++num_decoded;
|
|
}
|
|
if(num_decoded == 0)
|
|
fprintf(stderr, "Failed to decode any input files\n");
|
|
else if(num_decoded < num_files)
|
|
fprintf(stderr, "Decoded %zu of %zu files\n", num_decoded, num_files);
|
|
else
|
|
printf("Decoded %zu file%s\n", num_decoded, (num_decoded==1)?"":"s");
|
|
return 0;
|
|
}
|