Use a decode-encode method for ambisonic upsampling
This should allow for clearer and less diffuse responses. While a cube is in the blindspots for second-order, resulting in an identify transform for first- to-second-order, they do start contributing to third-order channels, which should make for sharper virtual points. The fixed HF scales should also play nicer with larger order upmixes.
This commit is contained in:
Chris Robinson
parent
fbfa8a2686
commit
6d5580805e
113
alc/alu.cpp
113
alc/alu.cpp
@ -341,6 +341,101 @@ inline uint dither_rng(uint *seed) noexcept
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}
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/* Ambisonic upsampler functions. These are effectively matrix multiply
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* operations. They take the 'coeffs' as the input matrix, and combine it with
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* an "upsampler" matrix, resulting in a coefficient matrix that behaves as if
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* the initial coefficients were applied to the B-Format input, which was then
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* decoded to a speaker array at its input order, and finally encoded back into
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* the higher order mix.
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*/
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void UpsampleFirstOrder(const al::span<std::array<float,MaxAmbiChannels>,MaxAmbiChannels> coeffs)
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{
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auto transpose = [coeffs]() noexcept
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{
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std::array<std::array<float,4>,4> res{};
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for(size_t i{0};i < 4;++i)
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{
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for(size_t j{0};j < 4;++j)
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res[i][j] = coeffs[j][i];
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}
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return res;
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};
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const auto input = transpose();
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static_assert(input[0].size() == AmbiScale::FirstOrderUp.size(),
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"Mismatched first-order input and upsampler size");
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for(size_t i{0};i < input.size();++i)
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{
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for(size_t j{0};j < AmbiScale::FirstOrderUp[0].size();++j)
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{
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double sum{0.0};
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for(size_t k{0};k < input[0].size();++k)
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sum += double{input[i][k]} * AmbiScale::FirstOrderUp[k][j];
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coeffs[j][i] = static_cast<float>(sum);
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}
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}
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}
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void UpsampleSecondOrder(const al::span<std::array<float,MaxAmbiChannels>,MaxAmbiChannels> coeffs)
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{
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auto transpose = [coeffs]() noexcept
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{
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std::array<std::array<float,9>,9> res{};
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for(size_t i{0};i < 9;++i)
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{
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for(size_t j{0};j < 9;++j)
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res[i][j] = coeffs[j][i];
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}
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return res;
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};
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const auto input = transpose();
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static_assert(input[0].size() == AmbiScale::SecondOrderUp.size(),
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"Mismatched second-order input and upsampler size");
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for(size_t i{0};i < input.size();++i)
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{
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for(size_t j{0};j < AmbiScale::SecondOrderUp[0].size();++j)
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{
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double sum{0.0};
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for(size_t k{0};k < input[0].size();++k)
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sum += double{input[i][k]} * AmbiScale::SecondOrderUp[k][j];
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coeffs[j][i] = static_cast<float>(sum);
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}
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}
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}
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void UpsampleThirdOrder(const al::span<std::array<float,MaxAmbiChannels>,MaxAmbiChannels> coeffs)
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{
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auto transpose = [coeffs]() noexcept
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{
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std::array<std::array<float,16>,16> res{};
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for(size_t i{0};i < 16;++i)
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{
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for(size_t j{0};j < 16;++j)
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res[i][j] = coeffs[j][i];
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}
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return res;
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};
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const auto input = transpose();
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static_assert(input[0].size() == AmbiScale::ThirdOrderUp.size(),
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"Mismatched third-order input and upsampler size");
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for(size_t i{0};i < input.size();++i)
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{
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for(size_t j{0};j < AmbiScale::ThirdOrderUp[0].size();++j)
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{
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double sum{0.0};
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for(size_t k{0};k < input[0].size();++k)
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sum += double{input[i][k]} * AmbiScale::ThirdOrderUp[k][j];
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coeffs[j][i] = static_cast<float>(sum);
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}
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}
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}
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inline auto& GetAmbiScales(AmbiScaling scaletype) noexcept
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{
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switch(scaletype)
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@ -872,6 +967,16 @@ void CalcPanningAndFilters(Voice *voice, const float xpos, const float ypos, con
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shrot[2][1] = -U[1]; shrot[2][2] = V[1]; shrot[2][3] = N[1];
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shrot[3][1] = U[2]; shrot[3][2] = -V[2]; shrot[3][3] = -N[2];
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AmbiRotator(shrot, static_cast<int>(minu(voice->mAmbiOrder, Device->mAmbiOrder)));
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/* If the device is higher order than the voice, "upsample" the matrix */
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if(Device->mAmbiOrder > voice->mAmbiOrder)
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{
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if(voice->mAmbiOrder == 1)
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UpsampleFirstOrder(shrot);
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else if(voice->mAmbiOrder == 2)
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UpsampleSecondOrder(shrot);
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else if(voice->mAmbiOrder == 3)
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UpsampleThirdOrder(shrot);
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}
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/* Convert the rotation matrix for input ordering and scaling, and
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* whether input is 2D or 3D.
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@ -880,20 +985,16 @@ void CalcPanningAndFilters(Voice *voice, const float xpos, const float ypos, con
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GetAmbi2DLayout(voice->mAmbiLayout).data() :
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GetAmbiLayout(voice->mAmbiLayout).data()};
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static const uint8_t ChansPerOrder[MaxAmbiOrder+1]{1, 3, 5, 7,};
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static const uint8_t OrderOffset[MaxAmbiOrder+1]{0, 1, 4, 9,};
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for(size_t c{1};c < num_channels;c++)
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{
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const size_t acn{index_map[c]};
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const size_t order{AmbiIndex::OrderFromChannel()[acn]};
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const size_t tocopy{ChansPerOrder[order]};
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const size_t offset{OrderOffset[order]};
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const float scale{scales[acn] * coverage};
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auto in = shrot.cbegin() + offset;
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coeffs = std::array<float,MaxAmbiChannels>{};
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for(size_t x{0};x < tocopy;++x)
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coeffs[offset+x] = in[x][acn] * scale;
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for(size_t x{OrderOffset[order]};x < MaxAmbiChannels;++x)
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coeffs[x] = shrot[x][acn] * scale;
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ComputePanGains(&Device->Dry, coeffs.data(), DryGain.Base,
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voice->mChans[c].mDryParams.Gains.Target);
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@ -5,21 +5,22 @@
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#include <cassert>
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#include "alnumbers.h"
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#include "opthelpers.h"
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namespace {
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constexpr std::array<float,MaxAmbiOrder+1> Ambi3DDecoderHFScale10{{
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1.000000000e+00f, 5.773502692e-01f
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2.000000000e+00f, 1.154700538e+00f
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}};
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constexpr std::array<float,MaxAmbiOrder+1> Ambi3DDecoderHFScale2O{{
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9.128709292e-01f, 7.071067812e-01f, 3.651483717e-01f
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1.972026594e+00f, 1.527525232e+00f, 7.888106377e-01f
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}};
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/* TODO: Set properly when making the third-order upsampler decoder. */
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constexpr std::array<float,MaxAmbiOrder+1> Ambi3DDecoderHFScale3O{{
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8.340921354e-01f, 7.182670250e-01f, 5.107426573e-01f, 2.541870634e-01f
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1.000000000e+00f, 1.000000000e+00f, 1.000000000e+00f, 1.000000000e+00f
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}};
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/*constexpr std::array<float,MaxAmbiOrder+1> Ambi3DDecoderHFScale4O{{
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1.727324867e-02f, 3.238734126e-02f, 8.245277297e-02f, 2.360733547e-01f, 7.127761153e-01f
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}};*/
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inline auto& GetDecoderHFScales(uint order) noexcept
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{
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@ -28,20 +29,175 @@ inline auto& GetDecoderHFScales(uint order) noexcept
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return Ambi3DDecoderHFScale10;
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}
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/* Copied from mixer.cpp. */
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constexpr auto CalcAmbiCoeffs(const float y, const float z, const float x)
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{
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const float xx{x*x}, yy{y*y}, zz{z*z}, xy{x*y}, yz{y*z}, xz{x*z};
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return std::array<float,MaxAmbiChannels>{{
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/* Zeroth-order */
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1.0f, /* ACN 0 = 1 */
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/* First-order */
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al::numbers::sqrt3_v<float> * y, /* ACN 1 = sqrt(3) * Y */
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al::numbers::sqrt3_v<float> * z, /* ACN 2 = sqrt(3) * Z */
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al::numbers::sqrt3_v<float> * x, /* ACN 3 = sqrt(3) * X */
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/* Second-order */
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3.872983346e+00f * xy, /* ACN 4 = sqrt(15) * X * Y */
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3.872983346e+00f * yz, /* ACN 5 = sqrt(15) * Y * Z */
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1.118033989e+00f * (3.0f*zz - 1.0f), /* ACN 6 = sqrt(5)/2 * (3*Z*Z - 1) */
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3.872983346e+00f * xz, /* ACN 7 = sqrt(15) * X * Z */
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1.936491673e+00f * (xx - yy), /* ACN 8 = sqrt(15)/2 * (X*X - Y*Y) */
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/* Third-order */
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2.091650066e+00f * (y*(3.0f*xx - yy)), /* ACN 9 = sqrt(35/8) * Y * (3*X*X - Y*Y) */
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1.024695076e+01f * (z*xy), /* ACN 10 = sqrt(105) * Z * X * Y */
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1.620185175e+00f * (y*(5.0f*zz - 1.0f)), /* ACN 11 = sqrt(21/8) * Y * (5*Z*Z - 1) */
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1.322875656e+00f * (z*(5.0f*zz - 3.0f)), /* ACN 12 = sqrt(7)/2 * Z * (5*Z*Z - 3) */
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1.620185175e+00f * (x*(5.0f*zz - 1.0f)), /* ACN 13 = sqrt(21/8) * X * (5*Z*Z - 1) */
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5.123475383e+00f * (z*(xx - yy)), /* ACN 14 = sqrt(105)/2 * Z * (X*X - Y*Y) */
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2.091650066e+00f * (x*(xx - 3.0f*yy)), /* ACN 15 = sqrt(35/8) * X * (X*X - 3*Y*Y) */
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/* Fourth-order */
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/* ACN 16 = sqrt(35)*3/2 * X * Y * (X*X - Y*Y) */
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/* ACN 17 = sqrt(35/2)*3/2 * (3*X*X - Y*Y) * Y * Z */
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/* ACN 18 = sqrt(5)*3/2 * X * Y * (7*Z*Z - 1) */
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/* ACN 19 = sqrt(5/2)*3/2 * Y * Z * (7*Z*Z - 3) */
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/* ACN 20 = 3/8 * (35*Z*Z*Z*Z - 30*Z*Z + 3) */
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/* ACN 21 = sqrt(5/2)*3/2 * X * Z * (7*Z*Z - 3) */
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/* ACN 22 = sqrt(5)*3/4 * (X*X - Y*Y) * (7*Z*Z - 1) */
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/* ACN 23 = sqrt(35/2)*3/2 * (X*X - 3*Y*Y) * X * Z */
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/* ACN 24 = sqrt(35)*3/8 * (X*X*X*X - 6*X*X*Y*Y + Y*Y*Y*Y) */
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}};
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}
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constexpr std::array<std::array<float,4>,8> FirstOrderDecoder{{
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{{ 1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, }},
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{{ 1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, }},
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{{ 1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, }},
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{{ 1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, }},
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{{ 1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, }},
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{{ 1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, }},
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{{ 1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, }},
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{{ 1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, }},
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}};
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constexpr std::array<std::array<float,MaxAmbiChannels>,8> FirstOrderEncoder{{
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CalcAmbiCoeffs( 0.57735026919f, 0.57735026919f, 0.57735026919f),
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CalcAmbiCoeffs( 0.57735026919f, 0.57735026919f, -0.57735026919f),
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CalcAmbiCoeffs(-0.57735026919f, 0.57735026919f, 0.57735026919f),
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CalcAmbiCoeffs(-0.57735026919f, 0.57735026919f, -0.57735026919f),
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CalcAmbiCoeffs( 0.57735026919f, -0.57735026919f, 0.57735026919f),
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CalcAmbiCoeffs( 0.57735026919f, -0.57735026919f, -0.57735026919f),
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CalcAmbiCoeffs(-0.57735026919f, -0.57735026919f, 0.57735026919f),
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CalcAmbiCoeffs(-0.57735026919f, -0.57735026919f, -0.57735026919f),
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}};
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static_assert(FirstOrderDecoder.size() == FirstOrderEncoder.size(), "First-order mismatch");
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/* This calculates a first-order "upsampler" matrix. It combines a first-order
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* decoder matrix with a max-order encoder matrix, creating a matrix that
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* behaves as if the B-Format input signal is first decoded to a speaker array
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* at first-order, then those speaker feeds are encoded to a higher-order
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* signal. While not perfect, this should accurately encode a lower-order
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* signal into a higher-order signal.
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*/
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auto CalcFirstOrderUp()
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{
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std::array<std::array<float,MaxAmbiChannels>,4> res{};
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for(size_t i{0};i < FirstOrderDecoder[0].size();++i)
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{
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for(size_t j{0};j < FirstOrderEncoder[0].size();++j)
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{
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double sum{0.0};
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for(size_t k{0};k < FirstOrderDecoder.size();++k)
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sum += double{FirstOrderDecoder[k][i]} * FirstOrderEncoder[k][j];
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res[i][j] = static_cast<float>(sum);
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}
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}
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return res;
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}
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constexpr std::array<std::array<float,9>,14> SecondOrderDecoder{{
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{{ 7.142857143e-02f, 0.000000000e+00f, 0.000000000e+00f, 1.237179148e-01f, 0.000000000e+00f, 0.000000000e+00f, -7.453559925e-02f, 0.000000000e+00f, 1.290994449e-01f, }},
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{{ 7.142857143e-02f, 0.000000000e+00f, 0.000000000e+00f, -1.237179148e-01f, 0.000000000e+00f, 0.000000000e+00f, -7.453559925e-02f, 0.000000000e+00f, 1.290994449e-01f, }},
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{{ 7.142857143e-02f, 1.237179148e-01f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, -7.453559925e-02f, 0.000000000e+00f, -1.290994449e-01f, }},
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{{ 7.142857143e-02f, -1.237179148e-01f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, -7.453559925e-02f, 0.000000000e+00f, -1.290994449e-01f, }},
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{{ 7.142857143e-02f, 0.000000000e+00f, 1.237179148e-01f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, 1.490711985e-01f, 0.000000000e+00f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, 0.000000000e+00f, -1.237179148e-01f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, 1.490711985e-01f, 0.000000000e+00f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, 7.142857143e-02f, 7.142857143e-02f, 7.142857143e-02f, 9.682458366e-02f, 9.682458366e-02f, 0.000000000e+00f, 9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, 7.142857143e-02f, 7.142857143e-02f, -7.142857143e-02f, -9.682458366e-02f, 9.682458366e-02f, 0.000000000e+00f, -9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, -7.142857143e-02f, 7.142857143e-02f, 7.142857143e-02f, -9.682458366e-02f, -9.682458366e-02f, 0.000000000e+00f, 9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, -7.142857143e-02f, 7.142857143e-02f, -7.142857143e-02f, 9.682458366e-02f, -9.682458366e-02f, 0.000000000e+00f, -9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, 7.142857143e-02f, -7.142857143e-02f, 7.142857143e-02f, 9.682458366e-02f, -9.682458366e-02f, 0.000000000e+00f, -9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, 7.142857143e-02f, -7.142857143e-02f, -7.142857143e-02f, -9.682458366e-02f, -9.682458366e-02f, 0.000000000e+00f, 9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, -7.142857143e-02f, -7.142857143e-02f, 7.142857143e-02f, -9.682458366e-02f, 9.682458366e-02f, 0.000000000e+00f, -9.682458366e-02f, 0.000000000e+00f, }},
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{{ 7.142857143e-02f, -7.142857143e-02f, -7.142857143e-02f, -7.142857143e-02f, 9.682458366e-02f, 9.682458366e-02f, 0.000000000e+00f, 9.682458366e-02f, 0.000000000e+00f, }},
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}};
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constexpr std::array<std::array<float,MaxAmbiChannels>,14> SecondOrderEncoder{{
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CalcAmbiCoeffs( 0.00000000000f, 0.00000000000f, 1.00000000000f),
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CalcAmbiCoeffs( 0.00000000000f, 0.00000000000f, -1.00000000000f),
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CalcAmbiCoeffs( 1.00000000000f, 0.00000000000f, 0.00000000000f),
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CalcAmbiCoeffs(-1.00000000000f, 0.00000000000f, 0.00000000000f),
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CalcAmbiCoeffs( 0.00000000000f, 1.00000000000f, 0.00000000000f),
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CalcAmbiCoeffs( 0.00000000000f, -1.00000000000f, 0.00000000000f),
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CalcAmbiCoeffs( 0.57735026919f, 0.57735026919f, 0.57735026919f),
|
||||
CalcAmbiCoeffs( 0.57735026919f, 0.57735026919f, -0.57735026919f),
|
||||
CalcAmbiCoeffs(-0.57735026919f, 0.57735026919f, 0.57735026919f),
|
||||
CalcAmbiCoeffs(-0.57735026919f, 0.57735026919f, -0.57735026919f),
|
||||
CalcAmbiCoeffs( 0.57735026919f, -0.57735026919f, 0.57735026919f),
|
||||
CalcAmbiCoeffs( 0.57735026919f, -0.57735026919f, -0.57735026919f),
|
||||
CalcAmbiCoeffs(-0.57735026919f, -0.57735026919f, 0.57735026919f),
|
||||
CalcAmbiCoeffs(-0.57735026919f, -0.57735026919f, -0.57735026919f),
|
||||
}};
|
||||
static_assert(SecondOrderDecoder.size() == SecondOrderEncoder.size(), "Second-order mismatch");
|
||||
|
||||
/* This calculates a second-order "upsampler" matrix. Same as the first-order
|
||||
* matrix, just using a slightly more dense speaker array suitable for second-
|
||||
* order content.
|
||||
*/
|
||||
auto CalcSecondOrderUp()
|
||||
{
|
||||
std::array<std::array<float,MaxAmbiChannels>,9> res{};
|
||||
|
||||
for(size_t i{0};i < SecondOrderDecoder[0].size();++i)
|
||||
{
|
||||
for(size_t j{0};j < SecondOrderEncoder[0].size();++j)
|
||||
{
|
||||
double sum{0.0};
|
||||
for(size_t k{0};k < SecondOrderDecoder.size();++k)
|
||||
sum += double{SecondOrderDecoder[k][i]} * SecondOrderEncoder[k][j];
|
||||
res[i][j] = static_cast<float>(sum);
|
||||
}
|
||||
}
|
||||
|
||||
return res;
|
||||
}
|
||||
|
||||
/* TODO: When fourth-order is properly supported, fill this out. */
|
||||
auto CalcThirdOrderUp()
|
||||
{
|
||||
std::array<std::array<float,MaxAmbiChannels>,16> res{};
|
||||
|
||||
for(size_t i{0};i < res.size();++i)
|
||||
res[i][i] = 1.0f;
|
||||
|
||||
return res;
|
||||
}
|
||||
|
||||
} // namespace
|
||||
|
||||
const auto AmbiScale::FirstOrderUp{CalcFirstOrderUp()};
|
||||
const auto AmbiScale::SecondOrderUp{CalcSecondOrderUp()};
|
||||
const auto AmbiScale::ThirdOrderUp{CalcThirdOrderUp()};
|
||||
|
||||
|
||||
auto AmbiScale::GetHFOrderScales(const uint in_order, const uint out_order) noexcept
|
||||
-> std::array<float,MaxAmbiOrder+1>
|
||||
{
|
||||
std::array<float,MaxAmbiOrder+1> ret{};
|
||||
|
||||
assert(out_order >= in_order);
|
||||
|
||||
const auto &target = GetDecoderHFScales(out_order);
|
||||
const auto &input = GetDecoderHFScales(in_order);
|
||||
|
||||
for(size_t i{0};i < in_order+1;++i)
|
||||
ret[i] = input[i] / target[i];
|
||||
|
||||
return ret;
|
||||
if(unlikely(in_order >= out_order))
|
||||
return {1.0f, 1.0f, 1.0f, 1.0f};
|
||||
return GetDecoderHFScales(in_order);
|
||||
}
|
||||
|
||||
@ -113,6 +113,10 @@ struct AmbiScale {
|
||||
/* Retrieves per-order HF scaling factors for "upsampling" ambisonic data. */
|
||||
static std::array<float,MaxAmbiOrder+1> GetHFOrderScales(const uint in_order,
|
||||
const uint out_order) noexcept;
|
||||
|
||||
static const std::array<std::array<float,MaxAmbiChannels>,4> FirstOrderUp;
|
||||
static const std::array<std::array<float,MaxAmbiChannels>,9> SecondOrderUp;
|
||||
static const std::array<std::array<float,MaxAmbiChannels>,16> ThirdOrderUp;
|
||||
};
|
||||
|
||||
struct AmbiIndex {
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user