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#include "config.h"
#include "ambidefs.h"
#include "alnumbers.h"
namespace {
using AmbiChannelFloatArray = std::array<float,MaxAmbiChannels>;
constexpr auto inv_sqrt2f = static_cast<float>(1.0/al::numbers::sqrt2);
constexpr std::array<std::array<float,4>,8> FirstOrderDecoder{{
{{ 1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, }},
{{ 1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, }},
{{ 1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, 1.250000000e-01f, }},
{{ 1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, }},
{{ 1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, }},
{{ 1.250000000e-01f, 1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, }},
{{ 1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, 1.250000000e-01f, }},
{{ 1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, -1.250000000e-01f, }},
}};
constexpr std::array<AmbiChannelFloatArray,8> FirstOrderEncoder{{
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(FirstOrderDecoder.size() == FirstOrderEncoder.size(), "First-order mismatch");
/* This calculates a first-order "upsampler" matrix. It combines a first-order
* decoder matrix with a max-order encoder matrix, creating a matrix that
* behaves as if the B-Format input signal is first decoded to a speaker array
* at first-order, then those speaker feeds are encoded to a higher-order
* signal. While not perfect, this should accurately encode a lower-order
* signal into a higher-order signal.
*/
auto CalcFirstOrderUp()
{
std::array<AmbiChannelFloatArray,4> res{};
for(size_t i{0};i < FirstOrderDecoder[0].size();++i)
{
for(size_t j{0};j < FirstOrderEncoder[0].size();++j)
{
double sum{0.0};
for(size_t k{0};k < FirstOrderDecoder.size();++k)
sum += double{FirstOrderDecoder[k][i]} * FirstOrderEncoder[k][j];
res[i][j] = static_cast<float>(sum);
}
}
return res;
}
constexpr std::array<std::array<float,4>,4> FirstOrder2DDecoder{{
{{ 2.500000000e-01f, 2.041241452e-01f, 0.0f, 2.041241452e-01f, }},
{{ 2.500000000e-01f, 2.041241452e-01f, 0.0f, -2.041241452e-01f, }},
{{ 2.500000000e-01f, -2.041241452e-01f, 0.0f, 2.041241452e-01f, }},
{{ 2.500000000e-01f, -2.041241452e-01f, 0.0f, -2.041241452e-01f, }},
}};
constexpr std::array<AmbiChannelFloatArray,4> FirstOrder2DEncoder{{
CalcAmbiCoeffs( inv_sqrt2f, 0.0f, inv_sqrt2f),
CalcAmbiCoeffs( inv_sqrt2f, 0.0f, -inv_sqrt2f),
CalcAmbiCoeffs(-inv_sqrt2f, 0.0f, inv_sqrt2f),
CalcAmbiCoeffs(-inv_sqrt2f, 0.0f, -inv_sqrt2f),
}};
static_assert(FirstOrder2DDecoder.size() == FirstOrder2DEncoder.size(), "First-order 2D mismatch");
/* This calculates a 2D first-order "upsampler" matrix. Same as the first-order
* matrix, just using a more optimized speaker array for horizontal-only
* content.
*/
auto CalcFirstOrder2DUp()
{
std::array<AmbiChannelFloatArray,4> res{};
for(size_t i{0};i < FirstOrder2DDecoder[0].size();++i)
{
for(size_t j{0};j < FirstOrder2DEncoder[0].size();++j)
{
double sum{0.0};
for(size_t k{0};k < FirstOrder2DDecoder.size();++k)
sum += double{FirstOrder2DDecoder[k][i]} * FirstOrder2DEncoder[k][j];
res[i][j] = static_cast<float>(sum);
}
}
return res;
}
constexpr std::array<std::array<float,9>,14> SecondOrderDecoder{{
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
{{ 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, }},
}};
constexpr std::array<AmbiChannelFloatArray,14> SecondOrderEncoder{{
CalcAmbiCoeffs( 0.00000000000f, 0.00000000000f, 1.00000000000f),
CalcAmbiCoeffs( 0.00000000000f, 0.00000000000f, -1.00000000000f),
CalcAmbiCoeffs( 1.00000000000f, 0.00000000000f, 0.00000000000f),
CalcAmbiCoeffs(-1.00000000000f, 0.00000000000f, 0.00000000000f),
CalcAmbiCoeffs( 0.00000000000f, 1.00000000000f, 0.00000000000f),
CalcAmbiCoeffs( 0.00000000000f, -1.00000000000f, 0.00000000000f),
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<AmbiChannelFloatArray,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;
}
constexpr std::array<std::array<float,9>,6> SecondOrder2DDecoder{{
{{ 1.666666667e-01f, -9.622504486e-02f, 0.0f, 1.666666667e-01f, -1.490711985e-01f, 0.0f, 0.0f, 0.0f, 8.606629658e-02f, }},
{{ 1.666666667e-01f, -1.924500897e-01f, 0.0f, 0.000000000e+00f, 0.000000000e+00f, 0.0f, 0.0f, 0.0f, -1.721325932e-01f, }},
{{ 1.666666667e-01f, -9.622504486e-02f, 0.0f, -1.666666667e-01f, 1.490711985e-01f, 0.0f, 0.0f, 0.0f, 8.606629658e-02f, }},
{{ 1.666666667e-01f, 9.622504486e-02f, 0.0f, -1.666666667e-01f, -1.490711985e-01f, 0.0f, 0.0f, 0.0f, 8.606629658e-02f, }},
{{ 1.666666667e-01f, 1.924500897e-01f, 0.0f, 0.000000000e+00f, 0.000000000e+00f, 0.0f, 0.0f, 0.0f, -1.721325932e-01f, }},
{{ 1.666666667e-01f, 9.622504486e-02f, 0.0f, 1.666666667e-01f, 1.490711985e-01f, 0.0f, 0.0f, 0.0f, 8.606629658e-02f, }},
}};
constexpr std::array<AmbiChannelFloatArray,6> SecondOrder2DEncoder{{
CalcAmbiCoeffs(-0.50000000000f, 0.00000000000f, 0.86602540379f),
CalcAmbiCoeffs(-1.00000000000f, 0.00000000000f, 0.00000000000f),
CalcAmbiCoeffs(-0.50000000000f, 0.00000000000f, -0.86602540379f),
CalcAmbiCoeffs( 0.50000000000f, 0.00000000000f, -0.86602540379f),
CalcAmbiCoeffs( 1.00000000000f, 0.00000000000f, 0.00000000000f),
CalcAmbiCoeffs( 0.50000000000f, 0.00000000000f, 0.86602540379f),
}};
static_assert(SecondOrder2DDecoder.size() == SecondOrder2DEncoder.size(),
"Second-order 2D mismatch");
/* This calculates a 2D second-order "upsampler" matrix. Same as the second-
* order matrix, just using a more optimized speaker array for horizontal-only
* content.
*/
auto CalcSecondOrder2DUp()
{
std::array<AmbiChannelFloatArray,9> res{};
for(size_t i{0};i < SecondOrder2DDecoder[0].size();++i)
{
for(size_t j{0};j < SecondOrder2DEncoder[0].size();++j)
{
double sum{0.0};
for(size_t k{0};k < SecondOrder2DDecoder.size();++k)
sum += double{SecondOrder2DDecoder[k][i]} * SecondOrder2DEncoder[k][j];
res[i][j] = static_cast<float>(sum);
}
}
return res;
}
constexpr std::array<std::array<float,16>,20> ThirdOrderDecoder{{
{{ 5.000000000e-02f, 3.090169944e-02f, 8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, 6.454972244e-02f, 9.045084972e-02f, 0.000000000e+00f, -1.232790000e-02f, -1.256118221e-01f, 0.000000000e+00f, 1.126112056e-01f, 7.944389175e-02f, 0.000000000e+00f, 2.421151497e-02f, 0.000000000e+00f, }},
{{ 5.000000000e-02f, -3.090169944e-02f, 8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, -6.454972244e-02f, 9.045084972e-02f, 0.000000000e+00f, -1.232790000e-02f, 1.256118221e-01f, 0.000000000e+00f, -1.126112056e-01f, 7.944389175e-02f, 0.000000000e+00f, 2.421151497e-02f, 0.000000000e+00f, }},
{{ 5.000000000e-02f, 3.090169944e-02f, -8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, -6.454972244e-02f, 9.045084972e-02f, 0.000000000e+00f, -1.232790000e-02f, -1.256118221e-01f, 0.000000000e+00f, 1.126112056e-01f, -7.944389175e-02f, 0.000000000e+00f, -2.421151497e-02f, 0.000000000e+00f, }},
{{ 5.000000000e-02f, -3.090169944e-02f, -8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, 6.454972244e-02f, 9.045084972e-02f, 0.000000000e+00f, -1.232790000e-02f, 1.256118221e-01f, 0.000000000e+00f, -1.126112056e-01f, -7.944389175e-02f, 0.000000000e+00f, -2.421151497e-02f, 0.000000000e+00f, }},
{{ 5.000000000e-02f, 8.090169944e-02f, 0.000000000e+00f, 3.090169944e-02f, 6.454972244e-02f, 0.000000000e+00f, -5.590169944e-02f, 0.000000000e+00f, -7.216878365e-02f, -7.763237543e-02f, 0.000000000e+00f, -2.950836627e-02f, 0.000000000e+00f, -1.497759251e-01f, 0.000000000e+00f, -7.763237543e-02f, }},
{{ 5.000000000e-02f, 8.090169944e-02f, 0.000000000e+00f, -3.090169944e-02f, -6.454972244e-02f, 0.000000000e+00f, -5.590169944e-02f, 0.000000000e+00f, -7.216878365e-02f, -7.763237543e-02f, 0.000000000e+00f, -2.950836627e-02f, 0.000000000e+00f, 1.497759251e-01f, 0.000000000e+00f, 7.763237543e-02f, }},
{{ 5.000000000e-02f, -8.090169944e-02f, 0.000000000e+00f, 3.090169944e-02f, -6.454972244e-02f, 0.000000000e+00f, -5.590169944e-02f, 0.000000000e+00f, -7.216878365e-02f, 7.763237543e-02f, 0.000000000e+00f, 2.950836627e-02f, 0.000000000e+00f, -1.497759251e-01f, 0.000000000e+00f, -7.763237543e-02f, }},
{{ 5.000000000e-02f, -8.090169944e-02f, 0.000000000e+00f, -3.090169944e-02f, 6.454972244e-02f, 0.000000000e+00f, -5.590169944e-02f, 0.000000000e+00f, -7.216878365e-02f, 7.763237543e-02f, 0.000000000e+00f, 2.950836627e-02f, 0.000000000e+00f, 1.497759251e-01f, 0.000000000e+00f, 7.763237543e-02f, }},
{{ 5.000000000e-02f, 0.000000000e+00f, 3.090169944e-02f, 8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, -3.454915028e-02f, 6.454972244e-02f, 8.449668365e-02f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, 3.034486645e-02f, -6.779013272e-02f, 1.659481923e-01f, 4.797944664e-02f, }},
{{ 5.000000000e-02f, 0.000000000e+00f, 3.090169944e-02f, -8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, -3.454915028e-02f, -6.454972244e-02f, 8.449668365e-02f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, 3.034486645e-02f, 6.779013272e-02f, 1.659481923e-01f, -4.797944664e-02f, }},
{{ 5.000000000e-02f, 0.000000000e+00f, -3.090169944e-02f, 8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, -3.454915028e-02f, -6.454972244e-02f, 8.449668365e-02f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, -3.034486645e-02f, -6.779013272e-02f, -1.659481923e-01f, 4.797944664e-02f, }},
{{ 5.000000000e-02f, 0.000000000e+00f, -3.090169944e-02f, -8.090169944e-02f, 0.000000000e+00f, 0.000000000e+00f, -3.454915028e-02f, 6.454972244e-02f, 8.449668365e-02f, 0.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f, -3.034486645e-02f, 6.779013272e-02f, -1.659481923e-01f, -4.797944664e-02f, }},
{{ 5.000000000e-02f, 5.000000000e-02f, 5.000000000e-02f, 5.000000000e-02f, 6.454972244e-02f, 6.454972244e-02f, 0.000000000e+00f, 6.454972244e-02f, 0.000000000e+00f, 1.016220987e-01f, 6.338656910e-02f, -1.092600649e-02f, -7.364853795e-02f, 1.011266756e-01f, -7.086833869e-02f, -1.482646439e-02f, }},
{{ 5.000000000e-02f, 5.000000000e-02f, 5.000000000e-02f, -5.000000000e-02f, -6.454972244e-02f, 6.454972244e-02f, 0.000000000e+00f, -6.454972244e-02f, 0.000000000e+00f, 1.016220987e-01f, -6.338656910e-02f, -1.092600649e-02f, -7.364853795e-02f, -1.011266756e-01f, -7.086833869e-02f, 1.482646439e-02f, }},
{{ 5.000000000e-02f, -5.000000000e-02f, 5.000000000e-02f, 5.000000000e-02f, -6.454972244e-02f, -6.454972244e-02f, 0.000000000e+00f, 6.454972244e-02f, 0.000000000e+00f, -1.016220987e-01f, -6.338656910e-02f, 1.092600649e-02f, -7.364853795e-02f, 1.011266756e-01f, -7.086833869e-02f, -1.482646439e-02f, }},
{{ 5.000000000e-02f, -5.000000000e-02f, 5.000000000e-02f, -5.000000000e-02f, 6.454972244e-02f, -6.454972244e-02f, 0.000000000e+00f, -6.454972244e-02f, 0.000000000e+00f, -1.016220987e-01f, 6.338656910e-02f, 1.092600649e-02f, -7.364853795e-02f, -1.011266756e-01f, -7.086833869e-02f, 1.482646439e-02f, }},
{{ 5.000000000e-02f, 5.000000000e-02f, -5.000000000e-02f, 5.000000000e-02f, 6.454972244e-02f, -6.454972244e-02f, 0.000000000e+00f, -6.454972244e-02f, 0.000000000e+00f, 1.016220987e-01f, -6.338656910e-02f, -1.092600649e-02f, 7.364853795e-02f, 1.011266756e-01f, 7.086833869e-02f, -1.482646439e-02f, }},
{{ 5.000000000e-02f, 5.000000000e-02f, -5.000000000e-02f, -5.000000000e-02f, -6.454972244e-02f, -6.454972244e-02f, 0.000000000e+00f, 6.454972244e-02f, 0.000000000e+00f, 1.016220987e-01f, 6.338656910e-02f, -1.092600649e-02f, 7.364853795e-02f, -1.011266756e-01f, 7.086833869e-02f, 1.482646439e-02f, }},
{{ 5.000000000e-02f, -5.000000000e-02f, -5.000000000e-02f, 5.000000000e-02f, -6.454972244e-02f, 6.454972244e-02f, 0.000000000e+00f, -6.454972244e-02f, 0.000000000e+00f, -1.016220987e-01f, 6.338656910e-02f, 1.092600649e-02f, 7.364853795e-02f, 1.011266756e-01f, 7.086833869e-02f, -1.482646439e-02f, }},
{{ 5.000000000e-02f, -5.000000000e-02f, -5.000000000e-02f, -5.000000000e-02f, 6.454972244e-02f, 6.454972244e-02f, 0.000000000e+00f, 6.454972244e-02f, 0.000000000e+00f, -1.016220987e-01f, -6.338656910e-02f, 1.092600649e-02f, 7.364853795e-02f, -1.011266756e-01f, 7.086833869e-02f, 1.482646439e-02f, }},
}};
constexpr std::array<AmbiChannelFloatArray,20> ThirdOrderEncoder{{
CalcAmbiCoeffs( 0.35682208976f, 0.93417235897f, 0.00000000000f),
CalcAmbiCoeffs(-0.35682208976f, 0.93417235897f, 0.00000000000f),
CalcAmbiCoeffs( 0.35682208976f, -0.93417235897f, 0.00000000000f),
CalcAmbiCoeffs(-0.35682208976f, -0.93417235897f, 0.00000000000f),
CalcAmbiCoeffs( 0.93417235897f, 0.00000000000f, 0.35682208976f),
CalcAmbiCoeffs( 0.93417235897f, 0.00000000000f, -0.35682208976f),
CalcAmbiCoeffs(-0.93417235897f, 0.00000000000f, 0.35682208976f),
CalcAmbiCoeffs(-0.93417235897f, 0.00000000000f, -0.35682208976f),
CalcAmbiCoeffs( 0.00000000000f, 0.35682208976f, 0.93417235897f),
CalcAmbiCoeffs( 0.00000000000f, 0.35682208976f, -0.93417235897f),
CalcAmbiCoeffs( 0.00000000000f, -0.35682208976f, 0.93417235897f),
CalcAmbiCoeffs( 0.00000000000f, -0.35682208976f, -0.93417235897f),
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(ThirdOrderDecoder.size() == ThirdOrderEncoder.size(), "Third-order mismatch");
/* This calculates a third-order "upsampler" matrix. Same as the first-order
* matrix, just using a more dense speaker array suitable for third-order
* content.
*/
auto CalcThirdOrderUp()
{
std::array<AmbiChannelFloatArray,16> res{};
for(size_t i{0};i < ThirdOrderDecoder[0].size();++i)
{
for(size_t j{0};j < ThirdOrderEncoder[0].size();++j)
{
double sum{0.0};
for(size_t k{0};k < ThirdOrderDecoder.size();++k)
sum += double{ThirdOrderDecoder[k][i]} * ThirdOrderEncoder[k][j];
res[i][j] = static_cast<float>(sum);
}
}
return res;
}
constexpr std::array<std::array<float,16>,8> ThirdOrder2DDecoder{{
{{ 1.250000000e-01f, -5.523559567e-02f, 0.0f, 1.333505242e-01f, -9.128709292e-02f, 0.0f, 0.0f, 0.0f, 9.128709292e-02f, -1.104247249e-01f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 4.573941867e-02f, }},
{{ 1.250000000e-01f, -1.333505242e-01f, 0.0f, 5.523559567e-02f, -9.128709292e-02f, 0.0f, 0.0f, 0.0f, -9.128709292e-02f, 4.573941867e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -1.104247249e-01f, }},
{{ 1.250000000e-01f, -1.333505242e-01f, 0.0f, -5.523559567e-02f, 9.128709292e-02f, 0.0f, 0.0f, 0.0f, -9.128709292e-02f, 4.573941867e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.104247249e-01f, }},
{{ 1.250000000e-01f, -5.523559567e-02f, 0.0f, -1.333505242e-01f, 9.128709292e-02f, 0.0f, 0.0f, 0.0f, 9.128709292e-02f, -1.104247249e-01f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -4.573941867e-02f, }},
{{ 1.250000000e-01f, 5.523559567e-02f, 0.0f, -1.333505242e-01f, -9.128709292e-02f, 0.0f, 0.0f, 0.0f, 9.128709292e-02f, 1.104247249e-01f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -4.573941867e-02f, }},
{{ 1.250000000e-01f, 1.333505242e-01f, 0.0f, -5.523559567e-02f, -9.128709292e-02f, 0.0f, 0.0f, 0.0f, -9.128709292e-02f, -4.573941867e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 1.104247249e-01f, }},
{{ 1.250000000e-01f, 1.333505242e-01f, 0.0f, 5.523559567e-02f, 9.128709292e-02f, 0.0f, 0.0f, 0.0f, -9.128709292e-02f, -4.573941867e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -1.104247249e-01f, }},
{{ 1.250000000e-01f, 5.523559567e-02f, 0.0f, 1.333505242e-01f, 9.128709292e-02f, 0.0f, 0.0f, 0.0f, 9.128709292e-02f, 1.104247249e-01f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 4.573941867e-02f, }},
}};
constexpr std::array<AmbiChannelFloatArray,8> ThirdOrder2DEncoder{{
CalcAmbiCoeffs(-0.38268343237f, 0.00000000000f, 0.92387953251f),
CalcAmbiCoeffs(-0.92387953251f, 0.00000000000f, 0.38268343237f),
CalcAmbiCoeffs(-0.92387953251f, 0.00000000000f, -0.38268343237f),
CalcAmbiCoeffs(-0.38268343237f, 0.00000000000f, -0.92387953251f),
CalcAmbiCoeffs( 0.38268343237f, 0.00000000000f, -0.92387953251f),
CalcAmbiCoeffs( 0.92387953251f, 0.00000000000f, -0.38268343237f),
CalcAmbiCoeffs( 0.92387953251f, 0.00000000000f, 0.38268343237f),
CalcAmbiCoeffs( 0.38268343237f, 0.00000000000f, 0.92387953251f),
}};
static_assert(ThirdOrder2DDecoder.size() == ThirdOrder2DEncoder.size(), "Third-order 2D mismatch");
/* This calculates a 2D third-order "upsampler" matrix. Same as the third-order
* matrix, just using a more optimized speaker array for horizontal-only
* content.
*/
auto CalcThirdOrder2DUp()
{
std::array<AmbiChannelFloatArray,16> res{};
for(size_t i{0};i < ThirdOrder2DDecoder[0].size();++i)
{
for(size_t j{0};j < ThirdOrder2DEncoder[0].size();++j)
{
double sum{0.0};
for(size_t k{0};k < ThirdOrder2DDecoder.size();++k)
sum += double{ThirdOrder2DDecoder[k][i]} * ThirdOrder2DEncoder[k][j];
res[i][j] = static_cast<float>(sum);
}
}
return res;
}
constexpr std::array<std::array<float,25>,10> FourthOrder2DDecoder{{
{{ 1.000000000e-01f, 3.568220898e-02f, 0.0f, 1.098185471e-01f, 6.070619982e-02f, 0.0f, 0.0f, 0.0f, 8.355491589e-02f, 7.735682057e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 5.620301997e-02f, 8.573754253e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 2.785781628e-02f, }},
{{ 1.000000000e-01f, 9.341723590e-02f, 0.0f, 6.787159473e-02f, 9.822469464e-02f, 0.0f, 0.0f, 0.0f, -3.191513794e-02f, 2.954767620e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -9.093839659e-02f, -5.298871540e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -7.293270986e-02f, }},
{{ 1.000000000e-01f, 1.154700538e-01f, 0.0f, 0.000000000e+00f, 0.000000000e+00f, 0.0f, 0.0f, 0.0f, -1.032795559e-01f, -9.561828875e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.000000000e+00f, 0.000000000e+00f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 9.014978717e-02f, }},
{{ 1.000000000e-01f, 9.341723590e-02f, 0.0f, -6.787159473e-02f, -9.822469464e-02f, 0.0f, 0.0f, 0.0f, -3.191513794e-02f, 2.954767620e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 9.093839659e-02f, 5.298871540e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -7.293270986e-02f, }},
{{ 1.000000000e-01f, 3.568220898e-02f, 0.0f, -1.098185471e-01f, -6.070619982e-02f, 0.0f, 0.0f, 0.0f, 8.355491589e-02f, 7.735682057e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -5.620301997e-02f, -8.573754253e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 2.785781628e-02f, }},
{{ 1.000000000e-01f, -3.568220898e-02f, 0.0f, -1.098185471e-01f, 6.070619982e-02f, 0.0f, 0.0f, 0.0f, 8.355491589e-02f, -7.735682057e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -5.620301997e-02f, 8.573754253e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 2.785781628e-02f, }},
{{ 1.000000000e-01f, -9.341723590e-02f, 0.0f, -6.787159473e-02f, 9.822469464e-02f, 0.0f, 0.0f, 0.0f, -3.191513794e-02f, -2.954767620e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 9.093839659e-02f, -5.298871540e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -7.293270986e-02f, }},
{{ 1.000000000e-01f, -1.154700538e-01f, 0.0f, 0.000000000e+00f, 0.000000000e+00f, 0.0f, 0.0f, 0.0f, -1.032795559e-01f, 9.561828875e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.000000000e+00f, 0.000000000e+00f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 9.014978717e-02f, }},
{{ 1.000000000e-01f, -9.341723590e-02f, 0.0f, 6.787159473e-02f, -9.822469464e-02f, 0.0f, 0.0f, 0.0f, -3.191513794e-02f, -2.954767620e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -9.093839659e-02f, 5.298871540e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -7.293270986e-02f, }},
{{ 1.000000000e-01f, -3.568220898e-02f, 0.0f, 1.098185471e-01f, -6.070619982e-02f, 0.0f, 0.0f, 0.0f, 8.355491589e-02f, -7.735682057e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 5.620301997e-02f, -8.573754253e-02f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 2.785781628e-02f, }},
}};
constexpr std::array<AmbiChannelFloatArray,10> FourthOrder2DEncoder{{
CalcAmbiCoeffs( 3.090169944e-01f, 0.000000000e+00f, 9.510565163e-01f),
CalcAmbiCoeffs( 8.090169944e-01f, 0.000000000e+00f, 5.877852523e-01f),
CalcAmbiCoeffs( 1.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f),
CalcAmbiCoeffs( 8.090169944e-01f, 0.000000000e+00f, -5.877852523e-01f),
CalcAmbiCoeffs( 3.090169944e-01f, 0.000000000e+00f, -9.510565163e-01f),
CalcAmbiCoeffs(-3.090169944e-01f, 0.000000000e+00f, -9.510565163e-01f),
CalcAmbiCoeffs(-8.090169944e-01f, 0.000000000e+00f, -5.877852523e-01f),
CalcAmbiCoeffs(-1.000000000e+00f, 0.000000000e+00f, 0.000000000e+00f),
CalcAmbiCoeffs(-8.090169944e-01f, 0.000000000e+00f, 5.877852523e-01f),
CalcAmbiCoeffs(-3.090169944e-01f, 0.000000000e+00f, 9.510565163e-01f),
}};
static_assert(FourthOrder2DDecoder.size() == FourthOrder2DEncoder.size(), "Fourth-order 2D mismatch");
/* This calculates a 2D fourth-order "upsampler" matrix. There is no 3D fourth-
* order upsampler since fourth-order is the max order we'll be supporting for
* the foreseeable future. This is only necessary for mixing horizontal-only
* fourth-order content to 3D.
*/
auto CalcFourthOrder2DUp()
{
std::array<AmbiChannelFloatArray,25> res{};
for(size_t i{0};i < FourthOrder2DDecoder[0].size();++i)
{
for(size_t j{0};j < FourthOrder2DEncoder[0].size();++j)
{
double sum{0.0};
for(size_t k{0};k < FourthOrder2DDecoder.size();++k)
sum += double{FourthOrder2DDecoder[k][i]} * FourthOrder2DEncoder[k][j];
res[i][j] = static_cast<float>(sum);
}
}
return res;
}
} // namespace
const std::array<AmbiChannelFloatArray,4> AmbiScale::FirstOrderUp{CalcFirstOrderUp()};
const std::array<AmbiChannelFloatArray,4> AmbiScale::FirstOrder2DUp{CalcFirstOrder2DUp()};
const std::array<AmbiChannelFloatArray,9> AmbiScale::SecondOrderUp{CalcSecondOrderUp()};
const std::array<AmbiChannelFloatArray,9> AmbiScale::SecondOrder2DUp{CalcSecondOrder2DUp()};
const std::array<AmbiChannelFloatArray,16> AmbiScale::ThirdOrderUp{CalcThirdOrderUp()};
const std::array<AmbiChannelFloatArray,16> AmbiScale::ThirdOrder2DUp{CalcThirdOrder2DUp()};
const std::array<AmbiChannelFloatArray,25> AmbiScale::FourthOrder2DUp{CalcFourthOrder2DUp()};
const std::array<float,MaxAmbiOrder+1> AmbiScale::DecoderHFScale1O{{
2.000000000e+00f, 1.154700538e+00f
}};
const std::array<float,MaxAmbiOrder+1> AmbiScale::DecoderHFScale1O2D{{
1.414213562e+00f, 1.000000000e+00f
}};
const std::array<float,MaxAmbiOrder+1> AmbiScale::DecoderHFScale2O{{
1.972026594e+00f, 1.527525232e+00f, 7.888106377e-01f
}};
const std::array<float,MaxAmbiOrder+1> AmbiScale::DecoderHFScale2O2D{{
1.414213562e+00f, 1.224744871e+00f, 7.071067812e-01f
}};
const std::array<float,MaxAmbiOrder+1> AmbiScale::DecoderHFScale3O{{
1.865086714e+00f, 1.606093894e+00f, 1.142055301e+00f, 5.683795528e-01f
}};
const std::array<float,MaxAmbiOrder+1> AmbiScale::DecoderHFScale3O2D{{
1.414213562e+00f, 1.306562965e+00f, 1.000000000e+00f, 5.411961001e-01f
}};
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