3rdparty: Add FreeSurround

This commit is contained in:
Stenzek 2024-04-24 22:28:02 +10:00 committed by Connor McLaughlin
parent dceac5372a
commit ca8a837614
15 changed files with 2848 additions and 0 deletions

14
3rdparty/freesurround/CMakeLists.txt vendored Normal file
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set(SRCS
include/FreeSurroundDecoder.h
include/kiss_fft.h
include/kiss_fftr.h
src/_kiss_fft_guts.h
src/ChannelMaps.cpp
src/FreeSurroundDecoder.cpp
src/kiss_fft.cpp
src/kiss_fftr.cpp
)
add_library(freesurround ${SRCS})
target_include_directories(freesurround PRIVATE "${CMAKE_CURRENT_SOURCE_DIR}/include" "${CMAKE_CURRENT_SOURCE_DIR}/src")
target_include_directories(freesurround INTERFACE "${CMAKE_CURRENT_SOURCE_DIR}/include")

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3rdparty/freesurround/GPL.txt vendored Normal file
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GNU GENERAL PUBLIC LICENSE
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<?xml version="1.0" encoding="utf-8"?>
<Project DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<Import Project="$(SolutionDir)common\vsprops\BaseProjectConfig.props" />
<Import Project="$(SolutionDir)common\vsprops\WinSDK.props" />
<PropertyGroup Label="Globals">
<ProjectGuid>{1DD0B31F-37F0-4A36-A521-74133ACA4737}</ProjectGuid>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
<PropertyGroup Label="Configuration">
<ConfigurationType>StaticLibrary</ConfigurationType>
<PlatformToolset Condition="!$(Configuration.Contains(Clang))">$(DefaultPlatformToolset)</PlatformToolset>
<PlatformToolset Condition="$(Configuration.Contains(Clang))">ClangCL</PlatformToolset>
<CharacterSet>MultiByte</CharacterSet>
<WholeProgramOptimization Condition="$(Configuration.Contains(Release))">true</WholeProgramOptimization>
<UseDebugLibraries Condition="$(Configuration.Contains(Debug))">true</UseDebugLibraries>
<UseDebugLibraries Condition="!$(Configuration.Contains(Debug))">false</UseDebugLibraries>
</PropertyGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
<ImportGroup Label="ExtensionSettings" />
<ImportGroup Label="PropertySheets">
<Import Project="..\DefaultProjectRootDir.props" />
<Import Project="..\3rdparty.props" />
<Import Condition="$(Configuration.Contains(Debug))" Project="..\..\common\vsprops\CodeGen_Debug.props" />
<Import Condition="$(Configuration.Contains(Devel))" Project="..\..\common\vsprops\CodeGen_Devel.props" />
<Import Condition="$(Configuration.Contains(Release))" Project="..\..\common\vsprops\CodeGen_Release.props" />
<Import Condition="!$(Configuration.Contains(Release))" Project="..\..\common\vsprops\IncrementalLinking.props" />
</ImportGroup>
<PropertyGroup Label="UserMacros" />
<PropertyGroup>
<CodeAnalysisRuleSet>AllRules.ruleset</CodeAnalysisRuleSet>
</PropertyGroup>
<ItemGroup>
<ClInclude Include="src\kiss_fft.h" />
<ClInclude Include="src\kiss_fftr.h" />
<ClInclude Include="src\_kiss_fft_guts.h" />
</ItemGroup>
<ItemGroup>
<ClCompile Include="src\ChannelMaps.cpp" />
<ClCompile Include="src\FreeSurroundDecoder.cpp" />
<ClCompile Include="src\kiss_fft.cpp" />
<ClCompile Include="src\kiss_fftr.cpp" />
</ItemGroup>
<ItemDefinitionGroup>
<ClCompile>
<PreprocessorDefinitions>%(PreprocessorDefinitions)</PreprocessorDefinitions>
<WarningLevel>TurnOffAllWarnings</WarningLevel>
<AdditionalIncludeDirectories>$(ProjectDir)include;$(ProjectDir)src;$(SolutionDir)deps\include\freetype2;%(AdditionalIncludeDirectories)</AdditionalIncludeDirectories>
</ClCompile>
</ItemDefinitionGroup>
<Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
<ImportGroup Label="ExtensionTargets" />
</Project>

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<?xml version="1.0" encoding="utf-8"?>
<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
<ItemGroup>
<ClInclude Include="src\_kiss_fft_guts.h" />
<ClInclude Include="src\kiss_fft.h" />
<ClInclude Include="src\kiss_fftr.h" />
</ItemGroup>
<ItemGroup>
<ClCompile Include="src\ChannelMaps.cpp" />
<ClCompile Include="src\FreeSurroundDecoder.cpp" />
<ClCompile Include="src\kiss_fft.cpp" />
<ClCompile Include="src\kiss_fftr.cpp" />
</ItemGroup>
</Project>

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// SPDX-FileCopyrightText: 2007-2010 Christian Kothe, 2024 Connor McLaughlin <stenzek@gmail.com>
// SPDX-License-Identifier: GPL-2.0+
#pragma once
#include "kiss_fftr.h"
#include <array>
#include <cmath>
#include <complex>
#include <span>
#include <vector>
/**
* The FreeSurround decoder.
*/
class FreeSurroundDecoder
{
public:
/**
* The supported output channel setups.
* A channel setup is defined by the set of channels that are present. Here is a graphic
* of the cs_5point1 setup: http://en.wikipedia.org/wiki/File:5_1_channels_(surround_sound)_label.svg
*/
enum class ChannelSetup
{
Stereo,
Surround41,
Surround51,
Surround71,
Legacy, // same channels as cs_5point1 but different upmixing transform; does not support the focus control
MaxCount
};
static constexpr int grid_res = 21; // resolution of the lookup grid
using LUT = const float (*)[grid_res];
/**
* Create an instance of the decoder.
* @param setup The output channel setup -- determines the number of output channels
* and their place in the sound field.
* @param blocksize Granularity at which data is processed by the decode() function.
* Must be a power of two and should correspond to ca. 10ms worth of single-channel
* samples (default is 4096 for 44.1Khz data). Do not make it shorter or longer
* than 5ms to 20ms since the granularity at which locations are decoded
* changes with this.
*/
FreeSurroundDecoder(ChannelSetup setup = ChannelSetup::Surround51, unsigned blocksize = 4096);
~FreeSurroundDecoder();
/**
* Decode a chunk of stereo sound. The output is delayed by half of the blocksize.
* This function is the only one needed for straightforward decoding.
* @param input Contains exactly blocksize (multiplexed) stereo samples, i.e. 2*blocksize numbers.
* @return A pointer to an internal buffer of exactly blocksize (multiplexed) multichannel samples.
* The actual number of values depends on the number of output channels in the chosen
* channel setup.
*/
float* Decode(float* input);
/**
* Flush the internal buffer.
*/
void Flush();
// --- soundfield transformations
// These functions allow to set up geometric transformations of the sound field after it has been decoded.
// The sound field is best pictured as a 2-dimensional square with the listener in its
// center which can be shifted or stretched in various ways before it is sent to the
// speakers. The order in which these transformations are applied is as listed below.
/**
* Allows to wrap the soundfield around the listener in a circular manner.
* Determines the angle of the frontal sound stage relative to the listener, in degrees.
* A setting of 90° corresponds to standard surround decoding, 180° stretches the front stage from
* ear to ear, 270° wraps it around most of the head. The side and rear content of the sound
* field is compressed accordingly behind the listerer. (default: 90, range: [0°..360°])
*/
void SetCircularWrap(float v);
/**
* Allows to shift the soundfield forward or backward.
* Value range: [-1.0..+1.0]. 0 is no offset, positive values move the sound
* forward, negative values move it backwards. (default: 0)
*/
void SetShift(float v);
/**
* Allows to scale the soundfield backwards.
* Value range: [0.0..+5.0] -- 0 is all compressed to the front, 1 is no change, 5 is scaled 5x backwards (default: 1)
*/
void SetDepth(float v);
/**
* Allows to control the localization (i.e., focality) of sources.
* Value range: [-1.0..+1.0] -- 0 means unchanged, positive means more localized, negative means more ambient
* (default: 0)
*/
void SetFocus(float v);
// --- rendering parameters
// These parameters control how the sound field is mapped onto speakers.
/**
* Set the presence of the front center channel(s).
* Value range: [0.0..1.0] -- fully present at 1.0, fully replaced by left/right at 0.0 (default: 1).
* The default of 1.0 results in spec-conformant decoding ("movie mode") while a value of 0.7 is
* better suited for music reproduction (which is usually mixed without a center channel).
*/
void SetCenterImage(float v);
/**
* Set the front stereo separation.
* Value range: [0.0..inf] -- 1.0 is default, 0.0 is mono.
*/
void SetFrontSeparation(float v);
/**
* Set the rear stereo separation.
* Value range: [0.0..inf] -- 1.0 is default, 0.0 is mono.
*/
void SetRearSeparation(float v);
// --- bass redirection (to LFE)
/**
* Enable/disable LFE channel (default: false = disabled)
*/
void SetBassRedirection(bool v);
/**
* Set the lower end of the transition band, in Hz/Nyquist (default: 40/22050).
*/
void SetLowCutoff(float v);
/**
* Set the upper end of the transition band, in Hz/Nyquist (default: 90/22050).
*/
void SetHighCutoff(float v);
// --- info
/**
* Number of samples currently held in the buffer.
*/
unsigned GetSamplesBuffered();
private:
using cplx = std::complex<double>;
struct ChannelMap
{
std::span<const LUT> luts;
const float* xsf;
};
static const std::array<ChannelMap, static_cast<size_t>(ChannelSetup::MaxCount)> s_channel_maps;
void BufferedDecode(float* input);
// get the index (and fractional offset!) in a piecewise-linear channel allocation grid
static int MapToGrid(double& x);
// constants
const ChannelMap& cmap; // the channel setup
unsigned N, C; // number of samples per input/output block, number of output channels
// parameters
float circular_wrap; // angle of the front soundstage around the listener (90°=default)
float shift; // forward/backward offset of the soundstage
float depth; // backward extension of the soundstage
float focus; // localization of the sound events
float center_image; // presence of the center speaker
float front_separation; // front stereo separation
float rear_separation; // rear stereo separation
float lo_cut, hi_cut; // LFE cutoff frequencies
bool use_lfe; // whether to use the LFE channel
// FFT data structures
std::vector<double> lt, rt, dst; // left total, right total (source arrays), time-domain destination buffer array
std::vector<cplx> lf, rf; // left total / right total in frequency domain
kiss_fftr_cfg forward = nullptr;
kiss_fftr_cfg inverse = nullptr; // FFT buffers
// buffers
bool buffer_empty = true; // whether the buffer is currently empty or dirty
std::vector<float> inbuf; // stereo input buffer (multiplexed)
std::vector<float> outbuf; // multichannel output buffer (multiplexed)
std::vector<double> wnd; // the window function, precomputed
std::vector<std::vector<cplx>> signal; // the signal to be constructed in every channel, in the frequency domain
};

127
3rdparty/freesurround/include/kiss_fft.h vendored Normal file
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#ifndef KISS_FFT_H
#define KISS_FFT_H
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <string.h>
#ifdef __cplusplus
extern "C" {
#endif
// we're using doubles here...
#define kiss_fft_scalar double
/*
ATTENTION!
If you would like a :
-- a utility that will handle the caching of fft objects
-- real-only (no imaginary time component ) FFT
-- a multi-dimensional FFT
-- a command-line utility to perform ffts
-- a command-line utility to perform fast-convolution filtering
Then see kfc.h kiss_fftr.h kiss_fftnd.h fftutil.c kiss_fastfir.c
in the tools/ directory.
*/
#ifdef USE_SIMD
# include <xmmintrin.h>
# define kiss_fft_scalar __m128
#define KISS_FFT_MALLOC(nbytes) _mm_malloc(nbytes,16)
#define KISS_FFT_FREE _mm_free
#else
#define KISS_FFT_MALLOC malloc
#define KISS_FFT_FREE free
#endif
#ifdef FIXED_POINT
#include <sys/types.h>
# if (FIXED_POINT == 32)
# define kiss_fft_scalar int32_t
# else
# define kiss_fft_scalar int16_t
# endif
#else
# ifndef kiss_fft_scalar
/* default is float */
# define kiss_fft_scalar float
# endif
#endif
typedef struct {
kiss_fft_scalar r;
kiss_fft_scalar i;
}kiss_fft_cpx;
typedef struct kiss_fft_state* kiss_fft_cfg;
/*
* kiss_fft_alloc
*
* Initialize a FFT (or IFFT) algorithm's cfg/state buffer.
*
* typical usage: kiss_fft_cfg mycfg=kiss_fft_alloc(1024,0,NULL,NULL);
*
* The return value from fft_alloc is a cfg buffer used internally
* by the fft routine or NULL.
*
* If lenmem is NULL, then kiss_fft_alloc will allocate a cfg buffer using malloc.
* The returned value should be free()d when done to avoid memory leaks.
*
* The state can be placed in a user supplied buffer 'mem':
* If lenmem is not NULL and mem is not NULL and *lenmem is large enough,
* then the function places the cfg in mem and the size used in *lenmem
* and returns mem.
*
* If lenmem is not NULL and ( mem is NULL or *lenmem is not large enough),
* then the function returns NULL and places the minimum cfg
* buffer size in *lenmem.
* */
kiss_fft_cfg kiss_fft_alloc(int nfft,int inverse_fft,void * mem,size_t * lenmem);
/*
* kiss_fft(cfg,in_out_buf)
*
* Perform an FFT on a complex input buffer.
* for a forward FFT,
* fin should be f[0] , f[1] , ... ,f[nfft-1]
* fout will be F[0] , F[1] , ... ,F[nfft-1]
* Note that each element is complex and can be accessed like
f[k].r and f[k].i
* */
void kiss_fft(kiss_fft_cfg cfg,const kiss_fft_cpx *fin,kiss_fft_cpx *fout);
/*
A more generic version of the above function. It reads its input from every Nth sample.
* */
void kiss_fft_stride(kiss_fft_cfg cfg,const kiss_fft_cpx *fin,kiss_fft_cpx *fout,int fin_stride);
/* If kiss_fft_alloc allocated a buffer, it is one contiguous
buffer and can be simply free()d when no longer needed*/
#define kiss_fft_free free
/*
Cleans up some memory that gets managed internally. Not necessary to call, but it might clean up
your compiler output to call this before you exit.
*/
void kiss_fft_cleanup(void);
/*
* Returns the smallest integer k, such that k>=n and k has only "fast" factors (2,3,5)
*/
int kiss_fft_next_fast_size(int n);
/* for real ffts, we need an even size */
#define kiss_fftr_next_fast_size_real(n) \
(kiss_fft_next_fast_size( ((n)+1)>>1)<<1)
#ifdef __cplusplus
}
#endif
#endif

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@ -0,0 +1,46 @@
#ifndef KISS_FTR_H
#define KISS_FTR_H
#include "kiss_fft.h"
#ifdef __cplusplus
extern "C" {
#endif
/*
Real optimized version can save about 45% cpu time vs. complex fft of a real seq.
*/
typedef struct kiss_fftr_state *kiss_fftr_cfg;
kiss_fftr_cfg kiss_fftr_alloc(int nfft,int inverse_fft,void * mem, size_t * lenmem);
/*
nfft must be even
If you don't care to allocate space, use mem = lenmem = NULL
*/
void kiss_fftr(kiss_fftr_cfg cfg,const kiss_fft_scalar *timedata,kiss_fft_cpx *freqdata);
/*
input timedata has nfft scalar points
output freqdata has nfft/2+1 complex points
*/
void kiss_fftri(kiss_fftr_cfg cfg,const kiss_fft_cpx *freqdata,kiss_fft_scalar *timedata);
/*
input freqdata has nfft/2+1 complex points
output timedata has nfft scalar points
*/
#define kiss_fftr_free free
#ifdef __cplusplus
}
#endif
#endif

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// SPDX-FileCopyrightText: 2007-2010 Christian Kothe, 2024 Connor McLaughlin <stenzek@gmail.com>
// SPDX-License-Identifier: GPL-2.0+
#include "FreeSurroundDecoder.h"
// clang-format off
// static constexpr const float map_stereo_ang[] = {-27,27};
static constexpr const float map_stereo_xsf[] = {-1,1};
// static constexpr const float map_stereo_ysf[] = {1,1};
// static constexpr const channel_id map_stereo_id[] = {ci_front_left,ci_front_right,ci_lfe};
static constexpr const float map_stereo_lf[21][21] = {
{0.89443f,0.88524f,0.87458f,0.86193f,0.84742f,0.83047f,0.81079f,0.78857f,0.76362f,0.73631f,0.70763f,0.67665f,0.64566f,0.61552f,0.58534f,0.55766f,0.53151f,0.50762f,0.48547f,0.46573f,0.44721f},
{0.89755f,0.87472f,0.86612f,0.85527f,0.84283f,0.82769f,0.80772f,0.78219f,0.75429f,0.72489f,0.69458f,0.66356f,0.63344f,0.60389f,0.57501f,0.54892f,0.52695f,0.50759f,0.49065f,0.47592f,0.44112f},
{0.90095f,0.88263f,0.86463f,0.85404f,0.84112f,0.81939f,0.79647f,0.77027f,0.74204f,0.71371f,0.68556f,0.65692f,0.62867f,0.60011f,0.57242f,0.54621f,0.52095f,0.50185f,0.48478f,0.46223f,0.4341f},
{0.90493f,0.89124f,0.87451f,0.85436f,0.83602f,0.81484f,0.78982f,0.7639f,0.73649f,0.708f,0.67884f,0.64889f,0.61965f,0.5909f,0.56273f,0.53649f,0.51235f,0.49068f,0.46842f,0.44689f,0.42579f},
{0.90935f,0.89967f,0.88515f,0.86118f,0.83546f,0.81421f,0.78928f,0.76394f,0.73562f,0.70473f,0.67234f,0.63865f,0.60548f,0.57409f,0.5446f,0.51768f,0.49394f,0.47308f,0.45005f,0.43044f,0.41628f},
{0.91439f,0.90835f,0.8916f,0.87077f,0.84576f,0.81654f,0.79414f,0.76796f,0.738f,0.70338f,0.66454f,0.62424f,0.58439f,0.54783f,0.51607f,0.48945f,0.46806f,0.44967f,0.43169f,0.41295f,0.40509f},
{0.91999f,0.91639f,0.90136f,0.88119f,0.85747f,0.82956f,0.79891f,0.77322f,0.74276f,0.70354f,0.65538f,0.60316f,0.55904f,0.52739f,0.50105f,0.46894f,0.43968f,0.41993f,0.40718f,0.39424f,0.39222f},
{0.92644f,0.9241f,0.9116f,0.89398f,0.87092f,0.84203f,0.80896f,0.77654f,0.74815f,0.70562f,0.64332f,0.58646f,0.55102f,0.52708f,0.49359f,0.45559f,0.41942f,0.38954f,0.37761f,0.37267f,0.37675f},
{0.93328f,0.93254f,0.92229f,0.90504f,0.88134f,0.85208f,0.81768f,0.7839f,0.74647f,0.70855f,0.63549f,0.58487f,0.56076f,0.52616f,0.49005f,0.44864f,0.40794f,0.36999f,0.34436f,0.34665f,0.35949f},
{0.94079f,0.94125f,0.93189f,0.91311f,0.88749f,0.85631f,0.8194f,0.78057f,0.74338f,0.70163f,0.63671f,0.60162f,0.56723f,0.53186f,0.49174f,0.44781f,0.40347f,0.35901f,0.32088f,0.31729f,0.33938f},
{0.94868f,0.94932f,0.94007f,0.9189f,0.88975f,0.85124f,0.80805f,0.75887f,0.71167f,0.67363f,0.64218f,0.61199f,0.5782f,0.54f,0.49837f,0.4526f,0.40118f,0.3514f,0.3043f,0.28639f,0.31623f},
{0.95692f,0.95638f,0.94428f,0.91841f,0.8832f,0.83951f,0.7853f,0.73414f,0.69534f,0.66315f,0.63602f,0.61218f,0.58072f,0.54574f,0.50443f,0.45716f,0.40639f,0.35175f,0.29649f,0.26018f,0.29081f},
{0.96498f,0.96276f,0.94676f,0.91627f,0.8745f,0.82172f,0.76172f,0.71817f,0.68426f,0.66051f,0.62994f,0.60192f,0.58139f,0.54844f,0.5103f,0.46277f,0.40965f,0.35109f,0.28981f,0.23919f,0.26285f},
{0.97256f,0.96914f,0.94756f,0.91234f,0.86412f,0.80293f,0.74426f,0.70593f,0.68146f,0.65506f,0.62468f,0.59559f,0.57167f,0.55047f,0.51487f,0.46757f,0.41278f,0.35109f,0.2847f,0.21785f,0.23325f},
{0.97977f,0.97551f,0.94873f,0.90549f,0.85129f,0.78757f,0.73384f,0.70417f,0.67727f,0.64923f,0.62014f,0.59112f,0.56478f,0.54094f,0.51536f,0.47061f,0.4185f,0.35479f,0.27753f,0.19394f,0.20077f},
{0.9859f,0.97906f,0.94933f,0.90364f,0.84461f,0.7748f,0.73864f,0.70505f,0.6742f,0.64447f,0.61554f,0.5866f,0.55834f,0.53048f,0.50205f,0.47467f,0.41886f,0.35115f,0.27107f,0.18027f,0.16808f},
{0.99106f,0.97904f,0.95594f,0.90263f,0.84046f,0.79665f,0.74764f,0.70961f,0.67426f,0.64169f,0.61091f,0.58092f,0.55049f,0.51961f,0.4893f,0.45375f,0.41836f,0.34667f,0.24954f,0.17965f,0.13422f},
{0.99504f,0.97686f,0.94808f,0.90616f,0.87005f,0.82768f,0.77496f,0.72517f,0.68125f,0.64279f,0.60765f,0.5735f,0.53901f,0.50302f,0.46667f,0.42437f,0.38174f,0.33637f,0.26284f,0.18498f,0.10039f},
{0.99787f,0.97282f,0.93896f,0.92728f,0.91154f,0.86712f,0.82157f,0.76586f,0.70571f,0.65384f,0.60893f,0.56563f,0.52269f,0.47746f,0.42876f,0.38009f,0.31978f,0.29601f,0.27766f,0.19432f,0.066244f},
{0.99945f,0.96755f,0.9602f,0.94951f,0.93442f,0.91368f,0.87956f,0.82681f,0.76608f,0.70193f,0.63578f,0.56816f,0.50585f,0.44097f,0.37308f,0.31653f,0.27698f,0.24634f,0.22321f,0.20651f,0.033221f},
{1.000000f,0.99854f,0.99377f,0.9845f,0.96987f,0.94832f,0.91914f,0.87965f,0.83195f,0.77384f,0.70711f,0.63203f,0.55339f,0.47409f,0.39234f,0.31565f,0.24192f,0.17365f,0.10973f,0.052336f,7.8496e-017f}};
static constexpr const float map_stereo_rf[21][21] = {
{0.44721f,0.46513f,0.48487f,0.50702f,0.53092f,0.55707f,0.58534f,0.61495f,0.64566f,0.67665f,0.70658f,0.73631f,0.76362f,0.78812f,0.81079f,0.83007f,0.84705f,0.86158f,0.87425f,0.88493f,0.89443f},
{0.44091f,0.47587f,0.49021f,0.50752f,0.52648f,0.54843f,0.57451f,0.6034f,0.63295f,0.66338f,0.69439f,0.72464f,0.75386f,0.78179f,0.80734f,0.82734f,0.84251f,0.85523f,0.86585f,0.87468f,0.89745f},
{0.43392f,0.46211f,0.48471f,0.50144f,0.52081f,0.54578f,0.57199f,0.59968f,0.62825f,0.65666f,0.68541f,0.71353f,0.74165f,0.76989f,0.79612f,0.81907f,0.84102f,0.85378f,0.86458f,0.88258f,0.90087f},
{0.42556f,0.4465f,0.46827f,0.49061f,0.51198f,0.53606f,0.56263f,0.59061f,0.61925f,0.64863f,0.67871f,0.70782f,0.73615f,0.76373f,0.78979f,0.81451f,0.83582f,0.85431f,0.87445f,0.89102f,0.90482f},
{0.41603f,0.43027f,0.44962f,0.47284f,0.49384f,0.51738f,0.54427f,0.57368f,0.6051f,0.63829f,0.67221f,0.7044f,0.7353f,0.76362f,0.78911f,0.81401f,0.83539f,0.86106f,0.88491f,0.8996f,0.90924f},
{0.40482f,0.41257f,0.43125f,0.44919f,0.46765f,0.48935f,0.51575f,0.54739f,0.58411f,0.62399f,0.66441f,0.70314f,0.73778f,0.76766f,0.79398f,0.81646f,0.84558f,0.8705f,0.89137f,0.90817f,0.91428f},
{0.39194f,0.39388f,0.40671f,0.41966f,0.43944f,0.46877f,0.50098f,0.52725f,0.55873f,0.60277f,0.65524f,0.70322f,0.74248f,0.77305f,0.79885f,0.8294f,0.85732f,0.88113f,0.90115f,0.91624f,0.91987f},
{0.37644f,0.37227f,0.37711f,0.38933f,0.41907f,0.45539f,0.49353f,0.52703f,0.55093f,0.58615f,0.64317f,0.70533f,0.74803f,0.77648f,0.8089f,0.84182f,0.8707f,0.89389f,0.9114f,0.92394f,0.92631f},
{0.35915f,0.34622f,0.34393f,0.36975f,0.40779f,0.44861f,0.48988f,0.52622f,0.56072f,0.58475f,0.63541f,0.70834f,0.74642f,0.78388f,0.81756f,0.85205f,0.88119f,0.90487f,0.92211f,0.93239f,0.93315f},
{0.339f,0.31682f,0.32073f,0.35905f,0.40342f,0.44785f,0.4917f,0.53187f,0.56716f,0.60159f,0.63667f,0.70158f,0.7434f,0.78057f,0.81937f,0.85635f,0.88742f,0.91312f,0.93183f,0.94111f,0.94065f},
{0.31623f,0.28631f,0.30427f,0.3514f,0.40119f,0.45261f,0.49838f,0.54f,0.5782f,0.61199f,0.64217f,0.67362f,0.71167f,0.75889f,0.80807f,0.85125f,0.88977f,0.91889f,0.94006f,0.9493f,0.94868f},
{0.29034f,0.25984f,0.29645f,0.35181f,0.40636f,0.45739f,0.5045f,0.54571f,0.58075f,0.61218f,0.63603f,0.66314f,0.69534f,0.73428f,0.78552f,0.83978f,0.8833f,0.91845f,0.94425f,0.95628f,0.95678f},
{0.26232f,0.23897f,0.28988f,0.35116f,0.40968f,0.46304f,0.51041f,0.54855f,0.58139f,0.60193f,0.62996f,0.66062f,0.68426f,0.71834f,0.76187f,0.82209f,0.87469f,0.91637f,0.94679f,0.96269f,0.96484f},
{0.23266f,0.21746f,0.28484f,0.3513f,0.41299f,0.46772f,0.51511f,0.55049f,0.57186f,0.59573f,0.6247f,0.65513f,0.68168f,0.70596f,0.74457f,0.80329f,0.86436f,0.91252f,0.94764f,0.96907f,0.97242f},
{0.20011f,0.19377f,0.27774f,0.3551f,0.41877f,0.47085f,0.51539f,0.54113f,0.56487f,0.59129f,0.62017f,0.64943f,0.67749f,0.70442f,0.73389f,0.78798f,0.85164f,0.90576f,0.94884f,0.97545f,0.97964f},
{0.16735f,0.18021f,0.2713f,0.35149f,0.41919f,0.47472f,0.50234f,0.53073f,0.5586f,0.58686f,0.61556f,0.64474f,0.6745f,0.70534f,0.73902f,0.77487f,0.84502f,0.90392f,0.94947f,0.97903f,0.98577f},
{0.13341f,0.17975f,0.24983f,0.34704f,0.41842f,0.45412f,0.48964f,0.5198f,0.5508f,0.58122f,0.61094f,0.6419f,0.6745f,0.71002f,0.74813f,0.79718f,0.84054f,0.90295f,0.9561f,0.97906f,0.99095f},
{0.099504f,0.18519f,0.2632f,0.33642f,0.38219f,0.42465f,0.46712f,0.50346f,0.53941f,0.57392f,0.60769f,0.64324f,0.68168f,0.72574f,0.77558f,0.82818f,0.87048f,0.90621f,0.94829f,0.97694f,0.99495f},
{0.065281f,0.19467f,0.27771f,0.29655f,0.32038f,0.38061f,0.42917f,0.47786f,0.52322f,0.56623f,0.609f,0.6545f,0.70642f,0.76654f,0.82216f,0.8676f,0.91195f,0.92761f,0.93899f,0.97296f,0.9978f},
{0.032183f,0.20655f,0.22377f,0.24703f,0.27778f,0.31734f,0.37412f,0.44199f,0.50657f,0.5692f,0.63593f,0.70292f,0.7669f,0.82752f,0.88018f,0.91412f,0.93482f,0.94983f,0.96045f,0.96758f,0.99942f},
{7.8496e-017f,0.054079f,0.11147f,0.17537f,0.24362f,0.3173f,0.39394f,0.47562f,0.55484f,0.63338f,0.70711f,0.77494f,0.83292f,0.88048f,0.91982f,0.94888f,0.9703f,0.98481f,0.99396f,0.99863f,1.000000f}};
// static constexpr const float map_4point1_ang[] = {-27,27,-105,105};
static constexpr const float map_4point1_xsf[] = {-1,1,-1,1};
// static constexpr const float map_4point1_ysf[] = {1,1,-1,-1};
// static constexpr const channel_id map_4point1_id[] = {ci_front_left,ci_front_right,ci_back_left,ci_back_right,ci_lfe};
static constexpr const float map_4point1_lf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.054079f,0.13605f,0.11031f,0.083738f,0.058746f,0.03616f,0.022585f,0.018356f,0.012179f,0.0043961f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.11103f,0.16562f,0.18635f,0.15778f,0.12791f,0.12403f,0.10709f,0.090176f,0.070512f,0.049741f,0.027549f,0.011727f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.17535f,0.20208f,0.21809f,0.22862f,0.21842f,0.20197f,0.18341f,0.15706f,0.13031f,0.10103f,0.068601f,0.041975f,0.018696f,0.0039144f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24362f,0.24543f,0.25563f,0.27972f,0.28786f,0.26979f,0.24789f,0.21805f,0.18569f,0.14921f,0.10871f,0.073541f,0.041097f,0.017152f,0.0038597f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.3173f,0.29703f,0.31848f,0.33006f,0.33185f,0.32708f,0.30247f,0.27305f,0.23691f,0.19431f,0.14844f,0.10174f,0.061737f,0.03134f,0.011327f,0.0027159f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.39394f,0.36121f,0.3753f,0.38051f,0.37698f,0.36547f,0.34958f,0.3221f,0.28469f,0.23727f,0.18262f,0.12638f,0.083376f,0.055926f,0.035607f,0.011267f,0.0038302f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.47562f,0.43164f,0.43211f,0.42875f,0.41905f,0.40425f,0.38486f,0.3601f,0.3262f,0.27779f,0.21259f,0.15374f,0.11534f,0.092532f,0.055768f,0.031114f,0.016973f,0.0038919f,0.000000f,0.000000f,0.000000f},
{0.55484f,0.49969f,0.48676f,0.47535f,0.45999f,0.4406f,0.41747f,0.39084f,0.3589f,0.31565f,0.24497f,0.18988f,0.16127f,0.11527f,0.083186f,0.061436f,0.040831f,0.018492f,0.0013084f,0.000000f,0.000000f},
{0.63203f,0.56664f,0.53922f,0.51913f,0.49762f,0.47305f,0.44521f,0.41467f,0.38246f,0.34456f,0.28169f,0.24152f,0.1898f,0.15351f,0.12607f,0.10138f,0.073199f,0.041753f,0.011636f,0.000000f,0.000000f},
{0.70711f,0.63601f,0.5915f,0.56154f,0.5324f,0.49872f,0.46317f,0.42387f,0.38431f,0.34937f,0.31849f,0.28164f,0.24488f,0.21244f,0.18245f,0.14826f,0.10854f,0.068473f,0.027433f,0.000000f,0.000000f},
{0.77384f,0.7028f,0.64182f,0.59999f,0.5611f,0.52035f,0.47318f,0.42773f,0.39037f,0.35676f,0.34937f,0.34453f,0.31539f,0.27747f,0.23686f,0.19392f,0.14881f,0.1006f,0.049384f,0.0043772f,0.000000f},
{0.83292f,0.76642f,0.69548f,0.63988f,0.59007f,0.53795f,0.48146f,0.43778f,0.40135f,0.39034f,0.38431f,0.3824f,0.35884f,0.32588f,0.28429f,0.2365f,0.18525f,0.12989f,0.070085f,0.011962f,0.000000f},
{0.88048f,0.82659f,0.75196f,0.68173f,0.61966f,0.55557f,0.49389f,0.45152f,0.43774f,0.42776f,0.42387f,0.41451f,0.39065f,0.36002f,0.32174f,0.27262f,0.21753f,0.15652f,0.089694f,0.018075f,0.000000f},
{0.91982f,0.87898f,0.80369f,0.72266f,0.64727f,0.57793f,0.51602f,0.49394f,0.48142f,0.47314f,0.46315f,0.44506f,0.41722f,0.38449f,0.34948f,0.30197f,0.24734f,0.18313f,0.10655f,0.022264f,0.000000f},
{0.94888f,0.91176f,0.84521f,0.76937f,0.68766f,0.60203f,0.57788f,0.55561f,0.53794f,0.52028f,0.49868f,0.47276f,0.44023f,0.40381f,0.36503f,0.32695f,0.26927f,0.20135f,0.12342f,0.035717f,0.000000f},
{0.9703f,0.92966f,0.89031f,0.80673f,0.72356f,0.6876f,0.64713f,0.61943f,0.5899f,0.56088f,0.53232f,0.49722f,0.45953f,0.41857f,0.37646f,0.33123f,0.28771f,0.21775f,0.12737f,0.058204f,0.000000f},
{0.98481f,0.94077f,0.8973f,0.84179f,0.80663f,0.76916f,0.72238f,0.68134f,0.63953f,0.59955f,0.56144f,0.51865f,0.47475f,0.42817f,0.38012f,0.32941f,0.27908f,0.22844f,0.15705f,0.083257f,0.000000f},
{0.99396f,0.94647f,0.89932f,0.89719f,0.89008f,0.84488f,0.80323f,0.75136f,0.69482f,0.64113f,0.59135f,0.53856f,0.48604f,0.43137f,0.37452f,0.3177f,0.25473f,0.21738f,0.18614f,0.10958f,0.000000f},
{0.99855f,0.94808f,0.94637f,0.94057f,0.92934f,0.91132f,0.87838f,0.82589f,0.76558f,0.70182f,0.63578f,0.56555f,0.49868f,0.43048f,0.35999f,0.29603f,0.24451f,0.20108f,0.16489f,0.1358f,0.000000f},
{1.000000f,0.99854f,0.99377f,0.9845f,0.96987f,0.94832f,0.91914f,0.87965f,0.83195f,0.77384f,0.70711f,0.63203f,0.55339f,0.47409f,0.39234f,0.31565f,0.24192f,0.17365f,0.10973f,0.052336f,0.000000f}};
static constexpr const float map_4point1_rf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0043772f,0.011962f,0.018075f,0.022264f,0.035717f,0.058204f,0.083257f,0.10958f,0.13592f,0.052336f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013084f,0.011636f,0.027472f,0.049384f,0.070085f,0.089694f,0.10655f,0.12342f,0.12737f,0.15705f,0.18623f,0.16489f,0.10973f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038919f,0.018492f,0.041753f,0.068513f,0.1006f,0.12983f,0.15652f,0.18313f,0.20135f,0.21775f,0.22851f,0.21738f,0.20108f,0.17363f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.016973f,0.040831f,0.073199f,0.10859f,0.14876f,0.1852f,0.21753f,0.24734f,0.26927f,0.28776f,0.27908f,0.25473f,0.24451f,0.24192f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.002725f,0.011267f,0.031114f,0.061436f,0.10138f,0.14831f,0.19392f,0.2365f,0.27257f,0.30197f,0.327f,0.33123f,0.32934f,0.31761f,0.29589f,0.31565f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0039191f,0.011379f,0.035584f,0.055812f,0.083146f,0.12603f,0.18248f,0.23686f,0.28429f,0.32174f,0.34952f,0.36503f,0.37646f,0.38012f,0.37444f,0.35999f,0.39234f},
{0.000000f,0.000000f,0.000000f,0.0039822f,0.017152f,0.03134f,0.055926f,0.09249f,0.11527f,0.15351f,0.21247f,0.27743f,0.32588f,0.36005f,0.38449f,0.40381f,0.41852f,0.42817f,0.43128f,0.43048f,0.47409f},
{0.000000f,0.000000f,0.0013628f,0.018696f,0.041097f,0.061737f,0.083376f,0.11538f,0.16121f,0.18976f,0.24491f,0.31539f,0.35887f,0.39065f,0.41717f,0.44023f,0.45953f,0.47475f,0.48597f,0.49857f,0.55339f},
{0.000000f,0.000000f,0.011806f,0.042039f,0.073541f,0.10174f,0.12638f,0.15373f,0.18988f,0.24145f,0.28167f,0.34454f,0.38236f,0.41451f,0.445f,0.47276f,0.49722f,0.51865f,0.53856f,0.56555f,0.63203f},
{0.000000f,8.5322e-019f,0.027472f,0.068532f,0.10862f,0.14835f,0.18253f,0.21252f,0.24491f,0.28164f,0.31849f,0.34939f,0.38433f,0.42389f,0.46318f,0.49872f,0.53237f,0.56148f,0.59141f,0.63586f,0.70711f},
{0.000000f,0.0045097f,0.049741f,0.10103f,0.14921f,0.19436f,0.23726f,0.27779f,0.31563f,0.34453f,0.34938f,0.35677f,0.39034f,0.42771f,0.47314f,0.52028f,0.56081f,0.59955f,0.64113f,0.70182f,0.77384f},
{0.000000f,0.012179f,0.070512f,0.13031f,0.18569f,0.23696f,0.28468f,0.3262f,0.35886f,0.38246f,0.38432f,0.39033f,0.40136f,0.43778f,0.48142f,0.53794f,0.58984f,0.63945f,0.69482f,0.76558f,0.83195f},
{0.000000f,0.018356f,0.090176f,0.15706f,0.21803f,0.27305f,0.32214f,0.36006f,0.39088f,0.41462f,0.42388f,0.42773f,0.43778f,0.45153f,0.49394f,0.55555f,0.61943f,0.68134f,0.75136f,0.82586f,0.87965f},
{0.000000f,0.022585f,0.10709f,0.1837f,0.24789f,0.30247f,0.34954f,0.38486f,0.41747f,0.44521f,0.46317f,0.47313f,0.48141f,0.49393f,0.51604f,0.57793f,0.64713f,0.7226f,0.80323f,0.87839f,0.91914f},
{0.000000f,0.03616f,0.12403f,0.20197f,0.26986f,0.32703f,0.36552f,0.40423f,0.4406f,0.47305f,0.49872f,0.5204f,0.538f,0.55557f,0.57793f,0.60205f,0.6876f,0.76916f,0.84488f,0.91132f,0.94832f},
{0.000000f,0.058746f,0.12802f,0.21842f,0.2878f,0.33185f,0.37704f,0.41905f,0.45997f,0.4976f,0.53237f,0.5611f,0.59007f,0.61958f,0.64727f,0.6877f,0.7236f,0.80663f,0.89008f,0.92934f,0.96987f},
{0.000000f,0.083896f,0.15778f,0.22854f,0.27982f,0.33006f,0.38081f,0.42882f,0.47533f,0.51919f,0.56149f,0.59999f,0.63988f,0.68173f,0.72294f,0.76935f,0.80673f,0.84179f,0.89719f,0.94057f,0.9845f},
{0.000000f,0.11031f,0.18625f,0.21822f,0.25563f,0.31848f,0.3753f,0.43211f,0.48676f,0.5393f,0.59144f,0.64182f,0.69546f,0.75192f,0.80366f,0.84518f,0.89031f,0.8973f,0.8993f,0.94637f,0.99377f},
{0.000000f,0.13592f,0.16581f,0.20208f,0.24559f,0.29703f,0.36121f,0.43162f,0.49969f,0.56664f,0.63593f,0.7028f,0.76638f,0.82659f,0.87898f,0.91171f,0.92966f,0.94077f,0.94647f,0.94806f,0.99846f},
{7.8496e-017f,0.054079f,0.11147f,0.17537f,0.24362f,0.3173f,0.39394f,0.47562f,0.55484f,0.63338f,0.70711f,0.77494f,0.83292f,0.88048f,0.91982f,0.94888f,0.9703f,0.98481f,0.99396f,0.99863f,1.000000f}};
static constexpr const float map_4point1_ls[21][21] = {
{1.000000f,0.99863f,0.99396f,0.98481f,0.9703f,0.94888f,0.91914f,0.88048f,0.83195f,0.77384f,0.70834f,0.63338f,0.55484f,0.47562f,0.39394f,0.3173f,0.24362f,0.17537f,0.11147f,0.054079f,-7.8496e-017f},
{0.99854f,0.94804f,0.94647f,0.94043f,0.92966f,0.91177f,0.87898f,0.82659f,0.76643f,0.70248f,0.63602f,0.56664f,0.49969f,0.43164f,0.36121f,0.29703f,0.24559f,0.20208f,0.16581f,0.13592f,0.000000f},
{0.99373f,0.94619f,0.89929f,0.8973f,0.89f,0.84522f,0.80369f,0.75196f,0.69549f,0.64182f,0.59149f,0.53909f,0.48676f,0.43211f,0.3753f,0.31848f,0.25563f,0.21817f,0.18628f,0.11031f,0.000000f},
{0.98443f,0.94057f,0.89693f,0.84178f,0.80673f,0.76938f,0.72295f,0.68173f,0.63988f,0.59999f,0.56152f,0.51902f,0.47535f,0.42864f,0.38061f,0.33006f,0.27965f,0.22857f,0.15778f,0.083896f,0.000000f},
{0.96987f,0.92924f,0.89008f,0.8064f,0.72353f,0.68753f,0.64727f,0.61961f,0.59007f,0.5611f,0.53236f,0.49762f,0.45999f,0.41905f,0.37687f,0.33185f,0.28785f,0.21842f,0.12802f,0.058746f,0.000000f},
{0.94832f,0.91132f,0.84488f,0.76916f,0.6876f,0.60199f,0.57793f,0.55557f,0.53786f,0.52026f,0.49866f,0.47305f,0.4406f,0.40425f,0.36538f,0.32707f,0.2697f,0.20197f,0.12403f,0.03616f,0.000000f},
{0.91914f,0.87839f,0.80323f,0.72262f,0.64697f,0.57779f,0.51599f,0.49381f,0.48147f,0.4732f,0.46311f,0.44521f,0.41747f,0.38486f,0.34957f,0.30247f,0.24789f,0.18361f,0.10709f,0.022585f,0.000000f},
{0.87965f,0.82586f,0.75136f,0.68116f,0.61943f,0.55563f,0.49394f,0.45149f,0.43778f,0.42773f,0.42381f,0.41464f,0.39077f,0.36007f,0.32202f,0.27305f,0.21805f,0.15706f,0.090176f,0.018356f,0.000000f},
{0.83195f,0.76558f,0.69482f,0.63955f,0.58992f,0.53794f,0.48142f,0.43767f,0.40132f,0.39038f,0.38425f,0.38246f,0.35885f,0.3262f,0.2847f,0.23683f,0.18569f,0.13031f,0.070512f,0.012179f,0.000000f},
{0.77494f,0.70182f,0.64105f,0.59937f,0.5609f,0.52028f,0.47314f,0.42777f,0.39034f,0.35673f,0.34932f,0.34449f,0.31565f,0.27779f,0.23728f,0.19424f,0.14921f,0.10103f,0.049741f,0.0045097f,0.000000f},
{0.70711f,0.63577f,0.59134f,0.56143f,0.53234f,0.49869f,0.46315f,0.42387f,0.38431f,0.34937f,0.3185f,0.28163f,0.2449f,0.21252f,0.18253f,0.14834f,0.1086f,0.068513f,0.027472f,-8.5322e-019f,0.000000f},
{0.63338f,0.56555f,0.53856f,0.51865f,0.49722f,0.47263f,0.44507f,0.41451f,0.38241f,0.34452f,0.2816f,0.24145f,0.18988f,0.15379f,0.12638f,0.10174f,0.073541f,0.042039f,0.011806f,0.000000f,0.000000f},
{0.55339f,0.49871f,0.48607f,0.47475f,0.45953f,0.44013f,0.41724f,0.39065f,0.35885f,0.31539f,0.24485f,0.1898f,0.16119f,0.11535f,0.083376f,0.061737f,0.041097f,0.018696f,0.0013628f,0.000000f,0.000000f},
{0.47409f,0.43048f,0.43138f,0.42817f,0.41859f,0.40381f,0.38442f,0.36003f,0.32583f,0.27748f,0.21245f,0.15351f,0.11527f,0.092466f,0.055926f,0.03134f,0.017152f,0.0039822f,0.000000f,0.000000f,0.000000f},
{0.39234f,0.35999f,0.37455f,0.38033f,0.37646f,0.36503f,0.34948f,0.32174f,0.28429f,0.23686f,0.18246f,0.12608f,0.083197f,0.055812f,0.03557f,0.011379f,0.0039191f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.31565f,0.29607f,0.31773f,0.32943f,0.33124f,0.32696f,0.30198f,0.27263f,0.2365f,0.19392f,0.14828f,0.10138f,0.061436f,0.031114f,0.011267f,0.002725f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24192f,0.24451f,0.25473f,0.27908f,0.28772f,0.26927f,0.24734f,0.21753f,0.18526f,0.14882f,0.10856f,0.073199f,0.040831f,0.01704f,0.0038302f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.17365f,0.20108f,0.21738f,0.22846f,0.21775f,0.20135f,0.18335f,0.15652f,0.12991f,0.1006f,0.068474f,0.041753f,0.018492f,0.0038919f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.10973f,0.16489f,0.18616f,0.15705f,0.12737f,0.12342f,0.10655f,0.089694f,0.070085f,0.049384f,0.027446f,0.011636f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.052332f,0.13583f,0.10958f,0.083257f,0.058204f,0.035717f,0.022438f,0.018227f,0.011962f,0.0043772f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_4point1_rs[21][21] = {
{-7.8496e-017f,0.052336f,0.10973f,0.17365f,0.24192f,0.31565f,0.39394f,0.47409f,0.55484f,0.63338f,0.70587f,0.77384f,0.83195f,0.87965f,0.91914f,0.94832f,0.96987f,0.9845f,0.99377f,0.99854f,1.000000f},
{0.000000f,0.13583f,0.16489f,0.20208f,0.24451f,0.29589f,0.35999f,0.43048f,0.49857f,0.56633f,0.63558f,0.70182f,0.76558f,0.82586f,0.87839f,0.91132f,0.92934f,0.94057f,0.94637f,0.94804f,0.99863f},
{0.000000f,0.11031f,0.18615f,0.21738f,0.25552f,0.31761f,0.37444f,0.43128f,0.48597f,0.53856f,0.59121f,0.64167f,0.69482f,0.75136f,0.80323f,0.84488f,0.89008f,0.89725f,0.89927f,0.94647f,0.99396f},
{0.000000f,0.083257f,0.15778f,0.22845f,0.27908f,0.32934f,0.38061f,0.42817f,0.47475f,0.51865f,0.56131f,0.59998f,0.63948f,0.6818f,0.72306f,0.76916f,0.80688f,0.84174f,0.8973f,0.94077f,0.98473f},
{0.000000f,0.058746f,0.12737f,0.2183f,0.28772f,0.33167f,0.37646f,0.41852f,0.45953f,0.49722f,0.53221f,0.56083f,0.58986f,0.61943f,0.64753f,0.6876f,0.72348f,0.80673f,0.89031f,0.92966f,0.9703f},
{0.000000f,0.035717f,0.12342f,0.20135f,0.26927f,0.32696f,0.36503f,0.40381f,0.44057f,0.47309f,0.49858f,0.52028f,0.53794f,0.55557f,0.57829f,0.60191f,0.688f,0.76938f,0.84522f,0.91177f,0.94888f},
{0.000000f,0.022264f,0.10655f,0.18361f,0.24774f,0.30233f,0.34948f,0.3848f,0.41719f,0.44502f,0.46308f,0.47314f,0.48142f,0.49394f,0.51592f,0.57793f,0.64727f,0.72306f,0.80369f,0.87898f,0.91982f},
{0.000000f,0.018075f,0.089694f,0.15698f,0.21753f,0.27257f,0.32174f,0.36002f,0.39065f,0.41451f,0.4238f,0.42773f,0.43804f,0.45143f,0.49424f,0.55557f,0.61961f,0.68173f,0.75196f,0.82659f,0.88048f},
{0.000000f,0.011962f,0.070085f,0.12983f,0.1852f,0.2365f,0.28429f,0.32614f,0.35884f,0.38237f,0.38425f,0.39034f,0.40127f,0.43778f,0.48142f,0.53827f,0.59007f,0.63988f,0.69549f,0.76643f,0.83292f},
{0.000000f,0.0043772f,0.049741f,0.10103f,0.14876f,0.19392f,0.23686f,0.27743f,0.31539f,0.34452f,0.34932f,0.35669f,0.39034f,0.42773f,0.47315f,0.52061f,0.5611f,0.59999f,0.64182f,0.7028f,0.77494f},
{0.000000f,-8.5322e-019f,0.027447f,0.068465f,0.10853f,0.14825f,0.18244f,0.21244f,0.24485f,0.28161f,0.31849f,0.34932f,0.38425f,0.42381f,0.46314f,0.49869f,0.53239f,0.56152f,0.59147f,0.63596f,0.70711f},
{0.000000f,0.000000f,0.011636f,0.041753f,0.073199f,0.1017f,0.12603f,0.15351f,0.18976f,0.24145f,0.28164f,0.34451f,0.38246f,0.41464f,0.44521f,0.47305f,0.49762f,0.51919f,0.5393f,0.56664f,0.63338f},
{0.000000f,0.000000f,0.0013084f,0.018492f,0.040831f,0.061737f,0.083146f,0.11527f,0.16121f,0.18988f,0.2449f,0.31565f,0.35887f,0.39092f,0.41747f,0.4406f,0.45999f,0.47535f,0.48676f,0.49969f,0.55484f},
{0.000000f,0.000000f,0.000000f,0.0038919f,0.016973f,0.031114f,0.056058f,0.092505f,0.11557f,0.15374f,0.21251f,0.27779f,0.3262f,0.36008f,0.38486f,0.40425f,0.41905f,0.42882f,0.43211f,0.43164f,0.47562f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.011267f,0.0356f,0.055926f,0.083376f,0.12638f,0.18252f,0.23728f,0.2847f,0.32214f,0.34955f,0.36552f,0.37704f,0.38081f,0.3753f,0.36121f,0.39394f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0027341f,0.011405f,0.03134f,0.061737f,0.10174f,0.14834f,0.19436f,0.23696f,0.27305f,0.30247f,0.32704f,0.33185f,0.33006f,0.31848f,0.29703f,0.3173f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039191f,0.017152f,0.041097f,0.073541f,0.10862f,0.14921f,0.18569f,0.21805f,0.24789f,0.26986f,0.28782f,0.27982f,0.25563f,0.24559f,0.24362f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039822f,0.018696f,0.042039f,0.068554f,0.10103f,0.13031f,0.15706f,0.1837f,0.20197f,0.21842f,0.22858f,0.21822f,0.20208f,0.17537f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013628f,0.011806f,0.027511f,0.049741f,0.070512f,0.090176f,0.10709f,0.12403f,0.12802f,0.15778f,0.1863f,0.16581f,0.11147f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-8.5322e-019f,0.0045097f,0.012179f,0.018356f,0.022585f,0.03616f,0.058746f,0.083896f,0.11031f,0.136f,0.054075f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-7.8496e-017f}};
// static constexpr const float map_5point1_ang[] = {-27,0,27,-105,105};
static constexpr const float map_5point1_xsf[] = {-1,0,1,-1,1};
// static constexpr const float map_5point1_ysf[] = {1,1,1,-1,-1};
// static constexpr const channel_id map_5point1_id[] = {ci_front_left,ci_front_center,ci_front_right,ci_back_left,ci_back_right,ci_lfe};
static constexpr const float map_5point1_lf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.054079f,0.13605f,0.11031f,0.083738f,0.058746f,0.03616f,0.022585f,0.018356f,0.012179f,0.0043961f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.11103f,0.16562f,0.18635f,0.15778f,0.12791f,0.12403f,0.10709f,0.090176f,0.070512f,0.049741f,0.027549f,0.011727f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.17535f,0.20208f,0.21809f,0.22862f,0.21842f,0.20197f,0.18341f,0.15706f,0.13031f,0.10103f,0.068601f,0.041975f,0.018696f,0.0039144f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24362f,0.24543f,0.25563f,0.27972f,0.28786f,0.26979f,0.24789f,0.21805f,0.18569f,0.14921f,0.10871f,0.073541f,0.041097f,0.017152f,0.0038597f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.3173f,0.29703f,0.31848f,0.33006f,0.33185f,0.32571f,0.30203f,0.27305f,0.23691f,0.19431f,0.14844f,0.10174f,0.061737f,0.03134f,0.010908f,0.0013625f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.39394f,0.36121f,0.3753f,0.38051f,0.37306f,0.35451f,0.33178f,0.30958f,0.28023f,0.23726f,0.18262f,0.12638f,0.07899f,0.043546f,0.017841f,0.00044495f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.47562f,0.43164f,0.43211f,0.42477f,0.4019f,0.37291f,0.34131f,0.31385f,0.29675f,0.2674f,0.21259f,0.14347f,0.086077f,0.046322f,0.012467f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.55484f,0.49969f,0.48539f,0.45665f,0.41889f,0.37886f,0.33895f,0.30764f,0.28138f,0.2723f,0.23279f,0.14674f,0.083778f,0.032293f,0.0048976f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.63203f,0.56664f,0.52742f,0.47709f,0.42408f,0.37424f,0.33419f,0.30176f,0.27482f,0.25011f,0.23665f,0.1471f,0.082204f,0.040759f,0.015195f,0.0028496f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.70711f,0.63601f,0.56403f,0.49301f,0.42572f,0.37154f,0.33227f,0.30051f,0.27246f,0.24769f,0.22385f,0.17996f,0.13303f,0.089089f,0.051572f,0.021112f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.77384f,0.69829f,0.59208f,0.49896f,0.42627f,0.37547f,0.33559f,0.30342f,0.27695f,0.2532f,0.24555f,0.24096f,0.202f,0.15312f,0.099312f,0.049149f,0.01419f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.83292f,0.75424f,0.62497f,0.51188f,0.43577f,0.38288f,0.34157f,0.31064f,0.28485f,0.27588f,0.27011f,0.26791f,0.24233f,0.19874f,0.14444f,0.081488f,0.031102f,0.0022352f,0.000000f,0.000000f,0.000000f},
{0.88048f,0.80823f,0.66178f,0.53219f,0.45043f,0.39421f,0.35046f,0.32046f,0.30985f,0.30176f,0.29791f,0.28855f,0.26277f,0.22895f,0.1783f,0.11122f,0.048526f,0.0073556f,0.000000f,0.000000f,0.000000f},
{0.91982f,0.8564f,0.6966f,0.55364f,0.46596f,0.41011f,0.36623f,0.3499f,0.34025f,0.33348f,0.32389f,0.30536f,0.27602f,0.24046f,0.19967f,0.13416f,0.066173f,0.014462f,0.000000f,0.000000f,0.000000f},
{0.94888f,0.8756f,0.72118f,0.58509f,0.49378f,0.42727f,0.40951f,0.39303f,0.37927f,0.36377f,0.34295f,0.31626f,0.28156f,0.24129f,0.19667f,0.15218f,0.075526f,0.017441f,0.000000f,0.000000f,0.000000f},
{0.9703f,0.87092f,0.76228f,0.60765f,0.51716f,0.48514f,0.45531f,0.43328f,0.40894f,0.38299f,0.35389f,0.31939f,0.27862f,0.23237f,0.18465f,0.12881f,0.081296f,0.019071f,0.000000f,0.000000f,0.000000f},
{0.98481f,0.85688f,0.73952f,0.62982f,0.5767f,0.53382f,0.4939f,0.46098f,0.42667f,0.39124f,0.35254f,0.31034f,0.26195f,0.20782f,0.15167f,0.09417f,0.04946f,0.016531f,0.000000f,0.000000f,0.000000f},
{0.99396f,0.83616f,0.71307f,0.68155f,0.64457f,0.57478f,0.52315f,0.47464f,0.42859f,0.38222f,0.33181f,0.27965f,0.21975f,0.15464f,0.094607f,0.047925f,0.0098814f,0.0024671f,0.000000f,0.000000f,0.000000f},
{0.99855f,0.81216f,0.78057f,0.73849f,0.68375f,0.61653f,0.5369f,0.46213f,0.39741f,0.33339f,0.26339f,0.19725f,0.13069f,0.067274f,0.019339f,0.0021311f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{1.000000f,0.94446f,0.8823f,0.80914f,0.72626f,0.63102f,0.52519f,0.40402f,0.27711f,0.14046f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_5point1_cf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.00062925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00059225f,0.001914f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0055425f,0.0155f,0.025167f,0.017695f,0.0063155f,1.0116e-005f,0.000000f,0.000000f,0.0062031f,0.017508f,0.025125f,0.015305f,0.0054168f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.0056317f,0.024256f,0.044322f,0.061583f,0.065405f,0.041656f,0.014688f,4.0817e-019f,0.014527f,0.041389f,0.065342f,0.061236f,0.044002f,0.024003f,0.005504f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.0019274f,0.02644f,0.05812f,0.08731f,0.11105f,0.11767f,0.10963f,0.061306f,0.017226f,0.061006f,0.10958f,0.11735f,0.11066f,0.086884f,0.057744f,0.026151f,0.0018503f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.016697f,0.059451f,0.104f,0.13974f,0.15702f,0.15962f,0.15223f,0.13355f,0.063692f,0.13353f,0.15211f,0.15945f,0.15675f,0.13934f,0.10352f,0.059047f,0.016456f,0.000000f,0.000000f},
{0.000000f,1.2068e-018f,0.038851f,0.096919f,0.15087f,0.17987f,0.18511f,0.17445f,0.15817f,0.14379f,0.13384f,0.14378f,0.15816f,0.17444f,0.18509f,0.17981f,0.15076f,0.096821f,0.038797f,0.000000f,0.000000f},
{0.000000f,0.0063777f,0.070344f,0.14288f,0.19068f,0.2049f,0.19453f,0.1758f,0.16036f,0.14645f,0.14681f,0.14646f,0.16036f,0.1758f,0.19453f,0.20473f,0.19031f,0.14227f,0.06984f,0.0061903f,0.000000f},
{0.000000f,0.017224f,0.099719f,0.18101f,0.21822f,0.2193f,0.19777f,0.17979f,0.16475f,0.16187f,0.16149f,0.16187f,0.16477f,0.1798f,0.19777f,0.21922f,0.21792f,0.18045f,0.099116f,0.016918f,0.000000f},
{0.000000f,0.02596f,0.12753f,0.21148f,0.23925f,0.22819f,0.20284f,0.18535f,0.18085f,0.17814f,0.17812f,0.17814f,0.18084f,0.18536f,0.20284f,0.22818f,0.23901f,0.21095f,0.12685f,0.025562f,0.000000f},
{0.000000f,0.03194f,0.15144f,0.23904f,0.2564f,0.23733f,0.21182f,0.20371f,0.19964f,0.19751f,0.19694f,0.1975f,0.19963f,0.20369f,0.21184f,0.23733f,0.25621f,0.23853f,0.15068f,0.031485f,0.000000f},
{0.000000f,0.051138f,0.17541f,0.26062f,0.27419f,0.24713f,0.23812f,0.22985f,0.2244f,0.22133f,0.22022f,0.22132f,0.22439f,0.22984f,0.2381f,0.24715f,0.274f,0.26009f,0.17455f,0.050511f,0.000000f},
{0.000000f,0.08308f,0.18105f,0.28155f,0.29188f,0.28632f,0.27128f,0.26327f,0.25585f,0.25151f,0.25234f,0.2515f,0.25584f,0.26325f,0.27127f,0.28627f,0.29189f,0.28098f,0.18013f,0.082312f,0.000000f},
{0.000000f,0.11865f,0.22314f,0.29977f,0.32517f,0.33282f,0.32312f,0.31164f,0.30095f,0.2946f,0.29542f,0.29459f,0.30094f,0.31163f,0.32308f,0.33259f,0.32473f,0.29967f,0.22211f,0.11774f,0.000000f},
{0.000000f,0.15601f,0.26339f,0.30497f,0.3472f,0.38198f,0.39609f,0.39135f,0.3765f,0.36616f,0.36703f,0.36615f,0.37649f,0.39123f,0.39574f,0.3814f,0.34627f,0.30393f,0.26322f,0.15497f,0.000000f},
{0.000000f,0.19222f,0.23448f,0.28578f,0.34732f,0.4169f,0.48293f,0.51439f,0.52067f,0.52104f,0.52661f,0.52086f,0.52026f,0.51365f,0.48176f,0.41543f,0.34579f,0.28436f,0.23319f,0.19202f,0.000000f},
{1.1102e-016f,0.076479f,0.15764f,0.24801f,0.34452f,0.44874f,0.55712f,0.67263f,0.78467f,0.89574f,1.000000f,0.89382f,0.78261f,0.67046f,0.55485f,0.4464f,0.34213f,0.24558f,0.15519f,0.074014f,0.000000f}};
static constexpr const float map_5point1_rf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0043772f,0.011962f,0.018075f,0.022264f,0.035717f,0.058204f,0.083257f,0.10958f,0.13592f,0.052336f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013084f,0.011636f,0.027472f,0.049384f,0.070085f,0.089694f,0.10655f,0.12342f,0.12737f,0.15705f,0.18623f,0.16489f,0.10973f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038919f,0.018492f,0.041753f,0.068513f,0.1006f,0.12983f,0.15652f,0.18313f,0.20135f,0.21775f,0.22851f,0.21738f,0.20108f,0.17363f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.016973f,0.040831f,0.073199f,0.10859f,0.14876f,0.1852f,0.21753f,0.24734f,0.26927f,0.28776f,0.27908f,0.25473f,0.24451f,0.24192f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013625f,0.010822f,0.031114f,0.061436f,0.10138f,0.14831f,0.19392f,0.2365f,0.27257f,0.30156f,0.32564f,0.33123f,0.32934f,0.31761f,0.29589f,0.31565f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00041878f,0.017789f,0.0433f,0.07868f,0.12602f,0.18248f,0.23686f,0.2799f,0.30936f,0.33175f,0.35421f,0.37263f,0.38012f,0.37444f,0.35999f,0.39234f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.01238f,0.046242f,0.085813f,0.14312f,0.21247f,0.26716f,0.29661f,0.31385f,0.34119f,0.3727f,0.40155f,0.42428f,0.43128f,0.43048f,0.47409f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0048489f,0.032179f,0.083684f,0.14641f,0.23272f,0.27225f,0.28139f,0.30767f,0.33894f,0.3788f,0.4187f,0.45626f,0.48466f,0.49857f,0.55339f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0029287f,0.015357f,0.040874f,0.082238f,0.14702f,0.23663f,0.25012f,0.27481f,0.30176f,0.33418f,0.37423f,0.42403f,0.4769f,0.52692f,0.56555f,0.63203f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0019397f,0.021156f,0.051639f,0.089163f,0.13307f,0.17997f,0.22386f,0.24772f,0.27249f,0.30054f,0.33231f,0.37158f,0.42577f,0.49302f,0.56398f,0.63586f,0.70711f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.01438f,0.049473f,0.099723f,0.15348f,0.20226f,0.24098f,0.24557f,0.25321f,0.27695f,0.30342f,0.33559f,0.37551f,0.42626f,0.49895f,0.59175f,0.69745f,0.77384f},
{0.000000f,0.000000f,0.000000f,0.0023122f,0.031384f,0.081894f,0.14485f,0.19907f,0.24237f,0.268f,0.27012f,0.27589f,0.28486f,0.31064f,0.34157f,0.38293f,0.43576f,0.51188f,0.62473f,0.75361f,0.83195f},
{0.000000f,0.000000f,0.000000f,0.0075151f,0.048878f,0.11169f,0.17871f,0.229f,0.263f,0.28867f,0.29793f,0.30177f,0.3099f,0.32047f,0.3505f,0.39422f,0.45043f,0.53218f,0.66167f,0.80779f,0.87965f},
{0.000000f,0.000000f,0.000000f,0.014677f,0.066587f,0.13466f,0.19976f,0.24081f,0.2763f,0.30555f,0.32392f,0.33349f,0.34026f,0.3499f,0.36625f,0.41012f,0.46596f,0.55393f,0.69668f,0.85613f,0.91914f},
{0.000000f,0.000000f,0.000000f,0.017689f,0.075976f,0.15229f,0.19715f,0.24172f,0.28192f,0.31654f,0.343f,0.3639f,0.37933f,0.39305f,0.40957f,0.42729f,0.49385f,0.58524f,0.72145f,0.8756f,0.94832f},
{0.000000f,0.000000f,0.000000f,0.019339f,0.081415f,0.12939f,0.18521f,0.2329f,0.27908f,0.31978f,0.35395f,0.38326f,0.40917f,0.43346f,0.45546f,0.48528f,0.5172f,0.60794f,0.76272f,0.87113f,0.96987f},
{0.000000f,0.000000f,0.000000f,0.016574f,0.049892f,0.094728f,0.15233f,0.20846f,0.26255f,0.31088f,0.35261f,0.39169f,0.42708f,0.46137f,0.49449f,0.53421f,0.57711f,0.6299f,0.74014f,0.85731f,0.9845f},
{0.000000f,0.000000f,0.000000f,0.0025743f,0.010122f,0.048381f,0.095227f,0.15539f,0.22053f,0.28038f,0.33191f,0.38291f,0.42927f,0.47532f,0.52386f,0.57553f,0.64546f,0.68239f,0.71318f,0.83679f,0.99377f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0022432f,0.019725f,0.067908f,0.13152f,0.19821f,0.26356f,0.3345f,0.39855f,0.46338f,0.53833f,0.61802f,0.68515f,0.7397f,0.78158f,0.8123f,0.99846f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.14292f,0.27953f,0.40639f,0.52748f,0.63323f,0.72837f,0.81116f,0.88423f,0.94629f,1.000000f}};
static constexpr const float map_5point1_ls[21][21] = {
{1.000000f,0.99863f,0.99396f,0.98481f,0.9703f,0.94888f,0.91914f,0.88048f,0.83195f,0.77384f,0.70834f,0.63338f,0.55484f,0.47562f,0.39394f,0.3173f,0.24362f,0.17537f,0.11147f,0.054079f,-7.8496e-017f},
{0.99854f,0.94804f,0.94647f,0.94043f,0.92966f,0.91177f,0.87898f,0.82659f,0.76643f,0.70248f,0.63602f,0.56664f,0.49969f,0.43164f,0.36121f,0.29703f,0.24559f,0.20208f,0.16581f,0.13592f,0.000000f},
{0.99373f,0.94619f,0.89929f,0.8973f,0.89f,0.84522f,0.80369f,0.75196f,0.69549f,0.64182f,0.59149f,0.53909f,0.48676f,0.43211f,0.3753f,0.31848f,0.25563f,0.21817f,0.18628f,0.11031f,0.000000f},
{0.98443f,0.94057f,0.89693f,0.84178f,0.80673f,0.76938f,0.72295f,0.68173f,0.63988f,0.59999f,0.56152f,0.51902f,0.47535f,0.42864f,0.38061f,0.33006f,0.27965f,0.22857f,0.15778f,0.083896f,0.000000f},
{0.96987f,0.92924f,0.89008f,0.8064f,0.72353f,0.68753f,0.64727f,0.61961f,0.59007f,0.5611f,0.53236f,0.49762f,0.45999f,0.41905f,0.37687f,0.33185f,0.28785f,0.21842f,0.12802f,0.058746f,0.000000f},
{0.94832f,0.91132f,0.84488f,0.76916f,0.6876f,0.60199f,0.57793f,0.55557f,0.53786f,0.52026f,0.49866f,0.47305f,0.4406f,0.40425f,0.36538f,0.32707f,0.2697f,0.20197f,0.12403f,0.03616f,0.000000f},
{0.91914f,0.87839f,0.80323f,0.72262f,0.64697f,0.57779f,0.51599f,0.49381f,0.48147f,0.4732f,0.46311f,0.44521f,0.41747f,0.38486f,0.34957f,0.30247f,0.24789f,0.18361f,0.10709f,0.022585f,0.000000f},
{0.87965f,0.82586f,0.75136f,0.68116f,0.61943f,0.55563f,0.49394f,0.45149f,0.43778f,0.42773f,0.42381f,0.41464f,0.39077f,0.36007f,0.32202f,0.27305f,0.21805f,0.15706f,0.090176f,0.018356f,0.000000f},
{0.83195f,0.76558f,0.69482f,0.63955f,0.58992f,0.53794f,0.48142f,0.43767f,0.40132f,0.39038f,0.38425f,0.38246f,0.35885f,0.3262f,0.2847f,0.23683f,0.18569f,0.13031f,0.070512f,0.012179f,0.000000f},
{0.77494f,0.70182f,0.64105f,0.59937f,0.5609f,0.52028f,0.47314f,0.42777f,0.39034f,0.35673f,0.34932f,0.34449f,0.31565f,0.27779f,0.23728f,0.19424f,0.14921f,0.10103f,0.049741f,0.0045097f,0.000000f},
{0.70711f,0.63577f,0.59134f,0.56143f,0.53234f,0.49869f,0.46315f,0.42387f,0.38431f,0.34937f,0.3185f,0.28163f,0.2449f,0.21252f,0.18253f,0.14834f,0.1086f,0.068513f,0.027472f,-8.5322e-019f,0.000000f},
{0.63338f,0.56555f,0.53856f,0.51865f,0.49722f,0.47263f,0.44507f,0.41451f,0.38241f,0.34452f,0.2816f,0.24145f,0.18988f,0.15379f,0.12638f,0.10174f,0.073541f,0.042039f,0.011806f,0.000000f,0.000000f},
{0.55339f,0.49871f,0.48607f,0.47475f,0.45953f,0.44013f,0.41724f,0.39065f,0.35885f,0.31539f,0.24485f,0.1898f,0.16119f,0.11535f,0.083376f,0.061737f,0.041097f,0.018696f,0.0013628f,0.000000f,0.000000f},
{0.47409f,0.43048f,0.43138f,0.42817f,0.41859f,0.40381f,0.38442f,0.36003f,0.32583f,0.27748f,0.21245f,0.15351f,0.11527f,0.092466f,0.055926f,0.03134f,0.017152f,0.0039822f,0.000000f,0.000000f,0.000000f},
{0.39234f,0.35999f,0.37455f,0.38033f,0.37646f,0.36503f,0.34948f,0.32174f,0.28429f,0.23686f,0.18246f,0.12608f,0.083197f,0.055812f,0.03557f,0.011379f,0.0039191f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.31565f,0.29607f,0.31773f,0.32943f,0.33124f,0.32696f,0.30198f,0.27263f,0.2365f,0.19392f,0.14828f,0.10138f,0.061436f,0.031114f,0.011267f,0.002725f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24192f,0.24451f,0.25473f,0.27908f,0.28772f,0.26927f,0.24734f,0.21753f,0.18526f,0.14882f,0.10856f,0.073199f,0.040831f,0.01704f,0.0038302f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.17365f,0.20108f,0.21738f,0.22846f,0.21775f,0.20135f,0.18335f,0.15652f,0.12991f,0.1006f,0.068474f,0.041753f,0.018492f,0.0038919f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.10973f,0.16489f,0.18616f,0.15705f,0.12737f,0.12342f,0.10655f,0.089694f,0.070085f,0.049384f,0.027446f,0.011636f,0.0013628f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.052332f,0.13583f,0.10958f,0.083257f,0.058204f,0.035717f,0.022438f,0.018227f,0.011962f,0.0043772f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_5point1_rs[21][21] = {
{-7.8496e-017f,0.052336f,0.10973f,0.17365f,0.24192f,0.31565f,0.39394f,0.47409f,0.55484f,0.63338f,0.70587f,0.77384f,0.83195f,0.87965f,0.91914f,0.94832f,0.96987f,0.9845f,0.99377f,0.99854f,1.000000f},
{0.000000f,0.13583f,0.16489f,0.20208f,0.24451f,0.29589f,0.35999f,0.43048f,0.49857f,0.56633f,0.63558f,0.70182f,0.76558f,0.82586f,0.87839f,0.91132f,0.92934f,0.94057f,0.94637f,0.94804f,0.99863f},
{0.000000f,0.11031f,0.18615f,0.21738f,0.25552f,0.31761f,0.37444f,0.43128f,0.48597f,0.53856f,0.59121f,0.64167f,0.69482f,0.75136f,0.80323f,0.84488f,0.89008f,0.89725f,0.89927f,0.94647f,0.99396f},
{0.000000f,0.083257f,0.15778f,0.22845f,0.27908f,0.32934f,0.38061f,0.42817f,0.47475f,0.51865f,0.56131f,0.59998f,0.63948f,0.6818f,0.72306f,0.76916f,0.80688f,0.84174f,0.8973f,0.94077f,0.98473f},
{0.000000f,0.058746f,0.12737f,0.2183f,0.28772f,0.33167f,0.37646f,0.41852f,0.45953f,0.49722f,0.53221f,0.56083f,0.58986f,0.61943f,0.64753f,0.6876f,0.72348f,0.80673f,0.89031f,0.92966f,0.9703f},
{0.000000f,0.035717f,0.12342f,0.20135f,0.26927f,0.32696f,0.36503f,0.40381f,0.44057f,0.47309f,0.49858f,0.52028f,0.53794f,0.55557f,0.57829f,0.60191f,0.688f,0.76938f,0.84522f,0.91177f,0.94888f},
{0.000000f,0.022264f,0.10655f,0.18361f,0.24774f,0.30233f,0.34948f,0.3848f,0.41719f,0.44502f,0.46308f,0.47314f,0.48142f,0.49394f,0.51592f,0.57793f,0.64727f,0.72306f,0.80369f,0.87898f,0.91982f},
{0.000000f,0.018075f,0.089694f,0.15698f,0.21753f,0.27257f,0.32174f,0.36002f,0.39065f,0.41451f,0.4238f,0.42773f,0.43804f,0.45143f,0.49424f,0.55557f,0.61961f,0.68173f,0.75196f,0.82659f,0.88048f},
{0.000000f,0.011962f,0.070085f,0.12983f,0.1852f,0.2365f,0.28429f,0.32614f,0.35884f,0.38237f,0.38425f,0.39034f,0.40127f,0.43778f,0.48142f,0.53827f,0.59007f,0.63988f,0.69549f,0.76643f,0.83292f},
{0.000000f,0.0043772f,0.049741f,0.10103f,0.14876f,0.19392f,0.23686f,0.27743f,0.31539f,0.34452f,0.34932f,0.35669f,0.39034f,0.42773f,0.47315f,0.52061f,0.5611f,0.59999f,0.64182f,0.7028f,0.77494f},
{0.000000f,-8.5322e-019f,0.027447f,0.068465f,0.10853f,0.14825f,0.18244f,0.21244f,0.24485f,0.28161f,0.31849f,0.34932f,0.38425f,0.42381f,0.46314f,0.49869f,0.53239f,0.56152f,0.59147f,0.63596f,0.70711f},
{0.000000f,0.000000f,0.011636f,0.041753f,0.073199f,0.1017f,0.12603f,0.15351f,0.18976f,0.24145f,0.28164f,0.34451f,0.38246f,0.41464f,0.44521f,0.47305f,0.49762f,0.51919f,0.5393f,0.56664f,0.63338f},
{0.000000f,0.000000f,0.0013084f,0.018492f,0.040831f,0.061737f,0.083146f,0.11527f,0.16121f,0.18988f,0.2449f,0.31565f,0.35887f,0.39092f,0.41747f,0.4406f,0.45999f,0.47535f,0.48676f,0.49969f,0.55484f},
{0.000000f,0.000000f,0.000000f,0.0038919f,0.016973f,0.031114f,0.056058f,0.092505f,0.11557f,0.15374f,0.21251f,0.27779f,0.3262f,0.36008f,0.38486f,0.40425f,0.41905f,0.42882f,0.43211f,0.43164f,0.47562f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.011267f,0.0356f,0.055926f,0.083376f,0.12638f,0.18252f,0.23728f,0.2847f,0.32214f,0.34955f,0.36552f,0.37704f,0.38081f,0.3753f,0.36121f,0.39394f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0027341f,0.011405f,0.03134f,0.061737f,0.10174f,0.14834f,0.19436f,0.23696f,0.27305f,0.30247f,0.32704f,0.33185f,0.33006f,0.31848f,0.29703f,0.3173f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039191f,0.017152f,0.041097f,0.073541f,0.10862f,0.14921f,0.18569f,0.21805f,0.24789f,0.26986f,0.28782f,0.27982f,0.25563f,0.24559f,0.24362f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0039822f,0.018696f,0.042039f,0.068554f,0.10103f,0.13031f,0.15706f,0.1837f,0.20197f,0.21842f,0.22858f,0.21822f,0.20208f,0.17537f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013628f,0.011806f,0.027511f,0.049741f,0.070512f,0.090176f,0.10709f,0.12403f,0.12802f,0.15778f,0.1863f,0.16581f,0.11147f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-8.5322e-019f,0.0045097f,0.012179f,0.018356f,0.022585f,0.03616f,0.058746f,0.083896f,0.11031f,0.136f,0.054075f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-7.8496e-017f}};
// static constexpr const float map_7point1_ang[] = {-27,0,27,-95,95,-142,142};
static constexpr const float map_7point1_xsf[] = {-1,0,1,-1,1,-1,1};
// static constexpr const float map_7point1_ysf[] = {1,1,1,0,0,-1,-1};
// static constexpr const channel_id map_7point1_id[] = {ci_front_left,ci_front_center,ci_front_right,ci_side_center_left,ci_side_center_right,ci_back_left,ci_back_right,ci_lfe};
static constexpr const float map_7point1_lf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,9.4126e-019f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.0025743f,0.016552f,0.019339f,0.017689f,0.014677f,0.0075151f,0.0023122f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.010122f,0.049892f,0.081385f,0.075976f,0.066587f,0.048878f,0.031384f,0.01438f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.0022432f,0.048381f,0.094728f,0.12939f,0.15091f,0.13421f,0.11169f,0.081894f,0.049473f,0.021188f,0.0029287f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.019725f,0.095227f,0.15233f,0.18129f,0.18619f,0.18195f,0.1662f,0.14038f,0.099716f,0.051668f,0.015357f,0.0004627f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.067908f,0.15539f,0.20448f,0.21574f,0.21038f,0.19727f,0.18275f,0.16961f,0.14309f,0.089211f,0.030602f,0.0029125f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.13152f,0.21916f,0.24385f,0.23799f,0.22019f,0.19777f,0.1798f,0.16484f,0.15891f,0.12092f,0.0391f,0.0061765f,0.0028379f,0.00043186f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.19821f,0.26858f,0.26884f,0.24624f,0.21773f,0.19453f,0.1758f,0.16036f,0.14653f,0.13495f,0.052607f,0.038854f,0.030373f,0.015188f,0.0028496f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{8.6596e-017f,0.26351f,0.30441f,0.28405f,0.24723f,0.21577f,0.19296f,0.17452f,0.15823f,0.14384f,0.13114f,0.13492f,0.12086f,0.089089f,0.051572f,0.021112f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.14292f,0.32999f,0.33317f,0.29065f,0.24843f,0.21902f,0.19594f,0.17746f,0.1625f,0.14962f,0.14386f,0.14651f,0.15886f,0.14285f,0.099312f,0.049149f,0.01419f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.27953f,0.38637f,0.35876f,0.29909f,0.25487f,0.22426f,0.20041f,0.18277f,0.16832f,0.16249f,0.15824f,0.16036f,0.16482f,0.16948f,0.14005f,0.081488f,0.031102f,0.0022352f,0.000000f,0.000000f,0.000000f},
{0.40639f,0.44503f,0.38515f,0.31183f,0.26428f,0.23169f,0.20647f,0.18936f,0.18276f,0.17745f,0.17453f,0.1758f,0.17979f,0.18273f,0.16592f,0.11122f,0.048526f,0.0073556f,0.000000f,0.000000f,0.000000f},
{0.52748f,0.51574f,0.41678f,0.32546f,0.27415f,0.24175f,0.21641f,0.20646f,0.2004f,0.19593f,0.19298f,0.19453f,0.19777f,0.19716f,0.18189f,0.13374f,0.066173f,0.014462f,0.000000f,0.000000f,0.000000f},
{0.63323f,0.58186f,0.4515f,0.34992f,0.2914f,0.25248f,0.24174f,0.23169f,0.22425f,0.219f,0.21579f,0.21773f,0.22013f,0.21018f,0.18585f,0.15082f,0.075526f,0.017441f,0.000000f,0.000000f,0.000000f},
{0.72837f,0.62641f,0.51744f,0.37803f,0.31074f,0.29139f,0.27414f,0.26427f,0.25485f,0.24842f,0.24726f,0.24619f,0.23779f,0.2154f,0.18082f,0.12881f,0.081296f,0.019071f,0.000000f,0.000000f,0.000000f},
{0.81116f,0.6558f,0.5246f,0.41789f,0.37802f,0.34991f,0.32545f,0.31182f,0.29908f,0.29063f,0.28406f,0.26859f,0.24346f,0.20392f,0.15167f,0.09417f,0.04946f,0.016531f,0.000000f,0.000000f,0.000000f},
{0.88423f,0.67127f,0.52691f,0.5245f,0.51721f,0.45136f,0.41661f,0.38495f,0.35851f,0.33283f,0.30436f,0.26801f,0.21844f,0.15464f,0.094607f,0.047925f,0.0098814f,0.0024671f,0.000000f,0.000000f,0.000000f},
{0.94622f,0.67633f,0.67099f,0.65523f,0.62554f,0.58081f,0.51465f,0.44406f,0.38544f,0.32902f,0.26339f,0.19725f,0.13069f,0.067274f,0.019339f,0.0021311f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{1.000000f,0.94446f,0.8823f,0.80914f,0.72626f,0.63102f,0.52519f,0.40402f,0.27711f,0.14046f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_7point1_cf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.00062925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00059225f,0.001914f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0055425f,0.0155f,0.025167f,0.017695f,0.0063155f,1.0116e-005f,0.000000f,0.000000f,0.0062031f,0.017508f,0.025125f,0.015305f,0.0054168f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.0056317f,0.024256f,0.044322f,0.061583f,0.065405f,0.041656f,0.014688f,4.0817e-019f,0.014527f,0.041389f,0.065342f,0.061236f,0.044002f,0.024003f,0.005504f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.0019274f,0.02644f,0.05812f,0.08731f,0.11105f,0.11767f,0.10963f,0.061306f,0.017226f,0.061006f,0.10958f,0.11735f,0.11066f,0.086884f,0.057744f,0.026151f,0.0018503f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.016697f,0.059451f,0.104f,0.13974f,0.15702f,0.15962f,0.15223f,0.13355f,0.063692f,0.13353f,0.15211f,0.15945f,0.15675f,0.13934f,0.10352f,0.059047f,0.016456f,0.000000f,0.000000f},
{0.000000f,1.2068e-018f,0.038851f,0.096919f,0.15087f,0.17987f,0.18511f,0.17445f,0.15817f,0.14379f,0.13384f,0.14378f,0.15816f,0.17444f,0.18509f,0.17981f,0.15076f,0.096821f,0.038797f,0.000000f,0.000000f},
{0.000000f,0.0063777f,0.070344f,0.14288f,0.19068f,0.2049f,0.19453f,0.1758f,0.16036f,0.14645f,0.14681f,0.14646f,0.16036f,0.1758f,0.19453f,0.20473f,0.19031f,0.14227f,0.06984f,0.0061903f,0.000000f},
{0.000000f,0.017224f,0.099719f,0.18101f,0.21822f,0.2193f,0.19777f,0.17979f,0.16475f,0.16187f,0.16149f,0.16187f,0.16477f,0.1798f,0.19777f,0.21922f,0.21792f,0.18045f,0.099116f,0.016918f,0.000000f},
{0.000000f,0.02596f,0.12753f,0.21148f,0.23925f,0.22819f,0.20284f,0.18535f,0.18085f,0.17814f,0.17812f,0.17814f,0.18084f,0.18536f,0.20284f,0.22818f,0.23901f,0.21095f,0.12685f,0.025562f,0.000000f},
{0.000000f,0.03194f,0.15144f,0.23904f,0.2564f,0.23733f,0.21182f,0.20371f,0.19964f,0.19751f,0.19694f,0.1975f,0.19963f,0.20369f,0.21184f,0.23733f,0.25621f,0.23853f,0.15068f,0.031485f,0.000000f},
{0.000000f,0.051138f,0.17541f,0.26062f,0.27419f,0.24713f,0.23812f,0.22985f,0.2244f,0.22133f,0.22022f,0.22132f,0.22439f,0.22984f,0.2381f,0.24715f,0.274f,0.26009f,0.17455f,0.050511f,0.000000f},
{0.000000f,0.08308f,0.18105f,0.28155f,0.29188f,0.28632f,0.27128f,0.26327f,0.25585f,0.25151f,0.25234f,0.2515f,0.25584f,0.26325f,0.27127f,0.28627f,0.29189f,0.28098f,0.18013f,0.082312f,0.000000f},
{0.000000f,0.11865f,0.22314f,0.29977f,0.32517f,0.33282f,0.32312f,0.31164f,0.30095f,0.2946f,0.29542f,0.29459f,0.30094f,0.31163f,0.32308f,0.33259f,0.32473f,0.29967f,0.22211f,0.11774f,0.000000f},
{0.000000f,0.15601f,0.26339f,0.30497f,0.3472f,0.38198f,0.39609f,0.39135f,0.3765f,0.36616f,0.36703f,0.36615f,0.37649f,0.39123f,0.39574f,0.3814f,0.34627f,0.30393f,0.26322f,0.15497f,0.000000f},
{0.000000f,0.19222f,0.23448f,0.28578f,0.34732f,0.4169f,0.48293f,0.51439f,0.52067f,0.52104f,0.52661f,0.52086f,0.52026f,0.51365f,0.48176f,0.41543f,0.34579f,0.28436f,0.23319f,0.19202f,0.000000f},
{1.1102e-016f,0.076479f,0.15764f,0.24801f,0.34452f,0.44874f,0.55712f,0.67263f,0.78467f,0.89574f,1.000000f,0.89382f,0.78261f,0.67046f,0.55485f,0.4464f,0.34213f,0.24558f,0.15519f,0.074014f,0.000000f}};
static constexpr const float map_7point1_rf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0022352f,0.0073556f,0.014462f,0.017441f,0.019071f,0.016531f,0.0024671f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.01419f,0.031102f,0.048526f,0.066173f,0.075526f,0.081297f,0.04946f,0.0098814f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0028496f,0.021112f,0.049149f,0.081488f,0.11122f,0.13374f,0.15081f,0.12881f,0.09417f,0.047925f,0.0021311f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00043186f,0.015188f,0.051545f,0.099312f,0.14005f,0.16592f,0.1819f,0.18585f,0.18082f,0.15167f,0.094607f,0.019339f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0028379f,0.030373f,0.089057f,0.14285f,0.16948f,0.18273f,0.19716f,0.21018f,0.2154f,0.20392f,0.15464f,0.067274f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0004627f,0.0029125f,0.0061679f,0.038854f,0.12083f,0.15886f,0.16483f,0.17979f,0.19777f,0.22013f,0.23779f,0.24346f,0.21844f,0.13069f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0029287f,0.015357f,0.030602f,0.0391f,0.052555f,0.13491f,0.14652f,0.16036f,0.1758f,0.19453f,0.21773f,0.24619f,0.26859f,0.26801f,0.19725f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0019397f,0.021156f,0.051639f,0.089163f,0.1209f,0.13493f,0.13114f,0.14385f,0.15824f,0.17453f,0.19297f,0.21578f,0.24725f,0.28402f,0.30431f,0.2633f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.01438f,0.049473f,0.099716f,0.14309f,0.15891f,0.1465f,0.14385f,0.14961f,0.16249f,0.17745f,0.19593f,0.219f,0.24842f,0.29063f,0.33283f,0.32902f,0.14046f},
{0.000000f,0.000000f,0.000000f,0.0023122f,0.031384f,0.081894f,0.14038f,0.16961f,0.16482f,0.16036f,0.15824f,0.1625f,0.16831f,0.18276f,0.2004f,0.22425f,0.25485f,0.29908f,0.35851f,0.38544f,0.27711f},
{0.000000f,0.000000f,0.000000f,0.0075151f,0.048878f,0.11169f,0.1662f,0.18272f,0.1798f,0.1758f,0.17453f,0.17746f,0.18277f,0.18935f,0.20646f,0.23169f,0.26427f,0.31182f,0.38495f,0.44406f,0.40402f},
{0.000000f,0.000000f,0.000000f,0.014677f,0.066587f,0.13421f,0.18194f,0.19727f,0.19777f,0.19453f,0.19297f,0.19594f,0.20041f,0.20647f,0.2164f,0.24174f,0.27414f,0.32545f,0.41661f,0.51465f,0.52519f},
{0.000000f,0.000000f,0.000000f,0.017689f,0.075976f,0.15092f,0.18619f,0.21038f,0.22019f,0.21773f,0.21578f,0.21902f,0.22426f,0.23169f,0.24175f,0.25247f,0.29139f,0.34991f,0.45136f,0.58081f,0.63102f},
{0.000000f,0.000000f,0.000000f,0.019339f,0.081415f,0.12939f,0.18129f,0.21574f,0.23799f,0.24624f,0.24725f,0.24843f,0.25487f,0.26428f,0.27415f,0.2914f,0.31073f,0.37802f,0.51721f,0.62554f,0.72626f},
{0.000000f,0.000000f,0.000000f,0.016574f,0.049892f,0.094728f,0.15233f,0.20448f,0.24385f,0.26884f,0.28405f,0.29065f,0.29909f,0.31183f,0.32546f,0.34992f,0.37803f,0.41787f,0.5245f,0.65523f,0.80914f},
{0.000000f,0.000000f,0.000000f,0.0025743f,0.010122f,0.048381f,0.095227f,0.15539f,0.21916f,0.26858f,0.3044f,0.33317f,0.35876f,0.38515f,0.41678f,0.4515f,0.51744f,0.5246f,0.52688f,0.67099f,0.8823f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0022432f,0.019725f,0.067908f,0.13152f,0.19821f,0.26356f,0.32999f,0.38637f,0.44503f,0.51574f,0.58186f,0.62641f,0.6558f,0.67127f,0.6763f,0.94439f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.14292f,0.27953f,0.40639f,0.52748f,0.63323f,0.72837f,0.81116f,0.88423f,0.94629f,1.000000f}};
static constexpr const float map_7point1_lsm[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.076479f,0.1924f,0.15601f,0.11842f,0.08308f,0.051138f,0.03194f,0.02596f,0.017224f,0.006217f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.15701f,0.23422f,0.26354f,0.22314f,0.18089f,0.17541f,0.15144f,0.12753f,0.099719f,0.070344f,0.038959f,0.016585f,0.0019274f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24799f,0.28578f,0.30478f,0.2999f,0.28155f,0.26062f,0.23875f,0.21148f,0.18101f,0.14288f,0.097017f,0.059361f,0.02644f,0.0055357f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.34452f,0.34709f,0.3472f,0.32503f,0.29199f,0.2741f,0.2564f,0.23925f,0.21822f,0.19068f,0.15101f,0.104f,0.05812f,0.024256f,0.0054585f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.44874f,0.4169f,0.38198f,0.33282f,0.28632f,0.24721f,0.23733f,0.22819f,0.21923f,0.20483f,0.17996f,0.13974f,0.08731f,0.044322f,0.015426f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.55712f,0.48293f,0.39609f,0.32283f,0.2712f,0.23804f,0.21189f,0.20278f,0.19777f,0.19453f,0.18519f,0.15702f,0.11105f,0.061583f,0.025231f,0.00062925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.67263f,0.51439f,0.39135f,0.31154f,0.26327f,0.22985f,0.20371f,0.18541f,0.17979f,0.1758f,0.17449f,0.15962f,0.11761f,0.06551f,0.017632f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.78467f,0.52067f,0.3765f,0.30095f,0.25585f,0.2244f,0.19964f,0.1808f,0.16481f,0.16036f,0.15821f,0.15223f,0.10975f,0.041656f,0.0063155f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.89382f,0.52104f,0.36605f,0.29451f,0.25151f,0.22133f,0.19751f,0.17814f,0.16187f,0.14649f,0.14382f,0.13363f,0.061306f,0.014688f,1.0116e-005f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{1.000000f,0.52679f,0.36715f,0.29551f,0.25242f,0.22029f,0.19701f,0.17818f,0.16155f,0.14686f,0.1311f,0.063705f,0.017218f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.89382f,0.52086f,0.36615f,0.29459f,0.2515f,0.22126f,0.1975f,0.17814f,0.16187f,0.14649f,0.14382f,0.13358f,0.061006f,0.014527f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.78261f,0.52026f,0.37649f,0.30094f,0.25584f,0.22432f,0.19963f,0.18084f,0.1648f,0.16036f,0.1582f,0.15211f,0.10961f,0.041389f,0.0062031f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.67046f,0.51365f,0.39123f,0.31163f,0.26325f,0.22984f,0.20363f,0.1854f,0.17974f,0.1758f,0.17448f,0.15945f,0.11735f,0.065362f,0.017508f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.55485f,0.48176f,0.39574f,0.32282f,0.27127f,0.2381f,0.21189f,0.20284f,0.19777f,0.19453f,0.18513f,0.15675f,0.11066f,0.061236f,0.025146f,0.00059225f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.4464f,0.41543f,0.3814f,0.33259f,0.28621f,0.2472f,0.23726f,0.22818f,0.21922f,0.20473f,0.17984f,0.13934f,0.086884f,0.044002f,0.015305f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.34213f,0.34579f,0.34627f,0.32473f,0.29192f,0.274f,0.25621f,0.23901f,0.21792f,0.19031f,0.1508f,0.10352f,0.057744f,0.024003f,0.0054168f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24558f,0.28436f,0.30393f,0.29971f,0.28098f,0.26009f,0.23836f,0.21095f,0.18045f,0.14227f,0.096837f,0.059047f,0.026151f,0.005504f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.15519f,0.23319f,0.26327f,0.22211f,0.18013f,0.17455f,0.15068f,0.12685f,0.099116f,0.06984f,0.038815f,0.016456f,0.0018503f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.074009f,0.19209f,0.15497f,0.11774f,0.082312f,0.050511f,0.031485f,0.025562f,0.016918f,0.0061903f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_7point1_rsm[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0061903f,0.016918f,0.025562f,0.031485f,0.050511f,0.082312f,0.11774f,0.15497f,0.19222f,0.074014f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0018503f,0.016456f,0.038851f,0.06984f,0.099116f,0.12685f,0.15068f,0.17455f,0.18013f,0.22211f,0.26337f,0.23319f,0.15519f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.005504f,0.026151f,0.059047f,0.096892f,0.14227f,0.18045f,0.21095f,0.23853f,0.26009f,0.28098f,0.29979f,0.30393f,0.28436f,0.24556f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0054168f,0.024003f,0.057744f,0.10352f,0.15084f,0.19031f,0.21792f,0.23901f,0.25621f,0.274f,0.29198f,0.32473f,0.34627f,0.34579f,0.34213f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.015305f,0.044002f,0.086884f,0.13934f,0.17988f,0.20473f,0.21922f,0.22818f,0.23733f,0.24725f,0.28627f,0.33259f,0.3814f,0.41543f,0.4464f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00059225f,0.025157f,0.061236f,0.11066f,0.15675f,0.18518f,0.19453f,0.19777f,0.20284f,0.21193f,0.2381f,0.27127f,0.32308f,0.39574f,0.48176f,0.55485f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.017508f,0.065396f,0.11735f,0.15945f,0.17454f,0.1758f,0.1798f,0.18544f,0.20369f,0.22984f,0.26325f,0.31163f,0.39123f,0.51365f,0.67046f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0062031f,0.041389f,0.10962f,0.15211f,0.15825f,0.16036f,0.16483f,0.18084f,0.19963f,0.22439f,0.25584f,0.30094f,0.37649f,0.52026f,0.78261f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.014527f,0.061006f,0.13359f,0.14386f,0.14652f,0.16187f,0.17814f,0.1975f,0.22132f,0.2515f,0.29459f,0.36615f,0.52086f,0.89382f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-4.0817e-019f,0.017202f,0.06369f,0.13113f,0.14689f,0.16158f,0.17821f,0.19705f,0.22033f,0.25247f,0.29557f,0.36722f,0.52689f,1.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,1.0116e-005f,0.014688f,0.061306f,0.13361f,0.14385f,0.14651f,0.16187f,0.17814f,0.19751f,0.22133f,0.25151f,0.2946f,0.36616f,0.52104f,0.89574f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0063155f,0.041656f,0.10967f,0.15223f,0.15823f,0.16036f,0.16482f,0.18085f,0.19964f,0.2244f,0.25585f,0.30095f,0.3765f,0.52067f,0.78467f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.017695f,0.065451f,0.11767f,0.15962f,0.17452f,0.1758f,0.17979f,0.18543f,0.20371f,0.22985f,0.26327f,0.31164f,0.39135f,0.51439f,0.67263f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.00062925f,0.0252f,0.061583f,0.11105f,0.15702f,0.18518f,0.19453f,0.19777f,0.20284f,0.21192f,0.23812f,0.27128f,0.32312f,0.39609f,0.48293f,0.55712f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019397f,0.0155f,0.044322f,0.08731f,0.13974f,0.17992f,0.2049f,0.2193f,0.22819f,0.23733f,0.24724f,0.28632f,0.33282f,0.38198f,0.4169f,0.44874f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0055425f,0.024256f,0.05812f,0.104f,0.15089f,0.19068f,0.21822f,0.23925f,0.2564f,0.27419f,0.292f,0.32517f,0.3472f,0.34732f,0.34452f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0056317f,0.02644f,0.059451f,0.09695f,0.14288f,0.18101f,0.21148f,0.23904f,0.26062f,0.28155f,0.29985f,0.30497f,0.28578f,0.24801f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019274f,0.016697f,0.038906f,0.070344f,0.099719f,0.12753f,0.15144f,0.17541f,0.18105f,0.22314f,0.26347f,0.23448f,0.15764f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-1.2068e-018f,0.0063777f,0.017224f,0.02596f,0.03194f,0.051138f,0.08308f,0.11865f,0.15601f,0.19233f,0.076473f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-1.1102e-016f}};
static constexpr const float map_7point1_ls[21][21] = {
{1.000000f,0.99863f,0.99396f,0.98481f,0.9703f,0.94888f,0.91914f,0.88048f,0.83195f,0.77384f,0.70834f,0.63338f,0.55484f,0.47562f,0.39394f,0.3173f,0.24362f,0.17537f,0.11147f,0.054079f,-7.8496e-017f},
{0.94446f,0.81199f,0.83616f,0.85669f,0.87092f,0.87561f,0.8564f,0.80823f,0.75425f,0.69808f,0.63602f,0.56664f,0.49969f,0.43164f,0.36121f,0.29703f,0.24559f,0.20208f,0.16581f,0.13592f,0.000000f},
{0.88271f,0.78057f,0.71294f,0.73952f,0.76209f,0.72118f,0.69661f,0.66179f,0.62498f,0.59208f,0.56394f,0.52736f,0.48539f,0.43211f,0.3753f,0.31848f,0.25563f,0.21817f,0.18628f,0.11031f,0.000000f},
{0.80907f,0.73849f,0.68142f,0.62971f,0.60765f,0.58509f,0.55402f,0.53219f,0.51188f,0.49896f,0.49292f,0.47704f,0.45666f,0.42472f,0.38061f,0.33006f,0.27965f,0.22857f,0.15778f,0.083896f,0.000000f},
{0.72626f,0.68381f,0.64457f,0.57657f,0.51706f,0.49372f,0.46596f,0.45043f,0.43577f,0.42627f,0.42558f,0.42408f,0.4189f,0.4019f,0.37301f,0.33185f,0.28785f,0.21842f,0.12802f,0.058746f,0.000000f},
{0.63102f,0.61653f,0.57478f,0.53382f,0.48514f,0.42718f,0.41011f,0.39421f,0.38285f,0.37543f,0.37141f,0.37424f,0.37886f,0.37291f,0.35447f,0.32571f,0.2697f,0.20197f,0.12403f,0.03616f,0.000000f},
{0.52519f,0.53691f,0.52315f,0.49422f,0.4552f,0.40947f,0.36615f,0.35043f,0.34158f,0.3356f,0.33216f,0.33419f,0.33895f,0.34131f,0.33172f,0.30203f,0.24789f,0.18361f,0.10709f,0.022585f,0.000000f},
{0.40402f,0.46214f,0.47464f,0.46087f,0.43328f,0.39304f,0.3499f,0.32038f,0.31064f,0.30342f,0.30041f,0.30177f,0.30761f,0.31375f,0.30955f,0.27305f,0.21805f,0.15706f,0.090176f,0.018356f,0.000000f},
{0.27711f,0.39741f,0.42859f,0.42667f,0.40895f,0.37927f,0.34025f,0.30982f,0.28478f,0.27695f,0.27237f,0.27482f,0.28125f,0.29675f,0.28023f,0.23683f,0.18569f,0.13031f,0.070512f,0.012179f,0.000000f},
{0.14292f,0.33339f,0.38221f,0.39113f,0.38299f,0.36377f,0.33348f,0.30176f,0.27588f,0.25314f,0.24761f,0.25f,0.2723f,0.2674f,0.23727f,0.19424f,0.14921f,0.10103f,0.049741f,0.0045097f,0.000000f},
{0.000000f,0.26327f,0.33172f,0.35247f,0.35385f,0.34292f,0.32385f,0.29788f,0.27007f,0.24552f,0.22579f,0.23659f,0.23272f,0.21252f,0.18253f,0.14834f,0.1086f,0.068513f,0.027472f,-8.5322e-019f,0.000000f},
{0.000000f,0.19725f,0.27965f,0.31034f,0.31939f,0.31618f,0.30536f,0.28855f,0.26792f,0.24094f,0.1799f,0.14699f,0.14674f,0.14347f,0.12638f,0.10174f,0.073541f,0.042039f,0.011806f,0.000000f,0.000000f},
{0.000000f,0.13069f,0.21975f,0.26195f,0.27862f,0.28151f,0.27602f,0.26277f,0.24232f,0.202f,0.13299f,0.082204f,0.083689f,0.086082f,0.07899f,0.061737f,0.041097f,0.018696f,0.0013628f,0.000000f,0.000000f},
{0.000000f,0.067274f,0.15464f,0.20782f,0.23238f,0.24129f,0.24043f,0.22893f,0.19873f,0.15312f,0.089072f,0.040759f,0.032293f,0.046248f,0.043546f,0.03134f,0.017152f,0.0039822f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.019339f,0.094607f,0.15196f,0.18465f,0.19667f,0.19966f,0.1783f,0.14444f,0.099312f,0.051555f,0.015195f,0.0048976f,0.012512f,0.017789f,0.01096f,0.0039191f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.0021311f,0.047925f,0.09417f,0.12885f,0.15216f,0.13421f,0.11122f,0.081488f,0.049149f,0.021112f,0.0028496f,0.000000f,0.000000f,0.00044495f,0.0013625f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.0098814f,0.04946f,0.081296f,0.075526f,0.066173f,0.048526f,0.031102f,0.01419f,0.0019269f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.0024671f,0.016531f,0.019071f,0.017441f,0.014677f,0.0073556f,0.0022352f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_7point1_rs[21][21] = {
{-7.8496e-017f,0.052336f,0.10973f,0.17365f,0.24192f,0.31565f,0.39394f,0.47409f,0.55484f,0.63338f,0.70587f,0.77384f,0.83195f,0.87965f,0.91914f,0.94832f,0.96987f,0.9845f,0.99377f,0.99854f,1.000000f},
{0.000000f,0.13583f,0.16489f,0.20208f,0.24451f,0.29589f,0.35999f,0.43048f,0.49857f,0.56633f,0.63558f,0.69745f,0.75361f,0.80779f,0.85613f,0.8756f,0.87113f,0.85731f,0.83679f,0.81212f,0.94629f},
{0.000000f,0.11031f,0.18615f,0.21738f,0.25552f,0.31761f,0.37444f,0.43128f,0.48466f,0.52692f,0.56374f,0.59228f,0.62473f,0.66167f,0.69668f,0.72145f,0.76272f,0.7402f,0.71303f,0.78158f,0.88423f},
{0.000000f,0.083257f,0.15778f,0.22845f,0.27908f,0.32934f,0.38061f,0.42428f,0.45626f,0.4769f,0.4928f,0.49938f,0.51188f,0.53264f,0.55439f,0.58524f,0.6082f,0.62975f,0.68239f,0.7397f,0.8111f},
{0.000000f,0.058746f,0.12737f,0.2183f,0.28772f,0.33167f,0.37263f,0.40155f,0.4187f,0.42403f,0.42555f,0.42626f,0.43576f,0.45043f,0.46637f,0.49385f,0.51702f,0.57711f,0.64546f,0.68515f,0.72837f},
{0.000000f,0.035717f,0.12342f,0.20135f,0.26927f,0.3256f,0.35421f,0.3727f,0.37913f,0.37456f,0.37139f,0.37551f,0.38293f,0.39422f,0.41047f,0.42708f,0.48557f,0.53421f,0.57553f,0.61802f,0.63323f},
{0.000000f,0.022264f,0.10655f,0.18361f,0.24774f,0.30191f,0.3317f,0.3415f,0.33894f,0.33418f,0.33214f,0.33559f,0.34157f,0.3505f,0.36607f,0.40957f,0.45546f,0.49461f,0.52386f,0.53833f,0.52748f},
{0.000000f,0.018075f,0.089694f,0.15698f,0.21753f,0.27257f,0.30936f,0.31378f,0.30767f,0.30176f,0.30039f,0.30342f,0.31091f,0.32031f,0.3502f,0.39305f,0.43346f,0.46137f,0.47532f,0.46338f,0.40639f},
{0.000000f,0.011962f,0.070085f,0.12983f,0.1852f,0.2365f,0.2799f,0.29688f,0.28132f,0.27481f,0.27235f,0.27695f,0.28472f,0.3099f,0.34026f,0.3796f,0.40917f,0.42708f,0.42927f,0.39855f,0.27953f},
{0.000000f,0.0043772f,0.049741f,0.10103f,0.14876f,0.19392f,0.23686f,0.26716f,0.27225f,0.25006f,0.24759f,0.25308f,0.27589f,0.30177f,0.33349f,0.36411f,0.38326f,0.39169f,0.38291f,0.3345f,0.14292f},
{0.000000f,-8.5322e-019f,0.027447f,0.068465f,0.10853f,0.14825f,0.18244f,0.21244f,0.23269f,0.23658f,0.22577f,0.24545f,0.27f,0.29779f,0.3238f,0.34289f,0.35387f,0.35252f,0.3318f,0.26339f,-8.6596e-017f},
{0.000000f,0.000000f,0.011636f,0.041753f,0.073199f,0.1017f,0.12602f,0.14312f,0.14641f,0.14698f,0.17992f,0.24091f,0.268f,0.28867f,0.30555f,0.31654f,0.31978f,0.31088f,0.28038f,0.19821f,0.000000f},
{0.000000f,0.000000f,0.0013084f,0.018492f,0.040831f,0.061737f,0.07868f,0.085813f,0.08366f,0.082238f,0.13301f,0.20226f,0.24232f,0.26304f,0.2763f,0.28192f,0.27908f,0.26255f,0.22053f,0.13152f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.0038919f,0.016973f,0.031114f,0.043546f,0.046224f,0.032368f,0.040874f,0.089105f,0.15348f,0.19907f,0.22896f,0.24081f,0.24172f,0.2329f,0.20846f,0.15539f,0.067908f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.0038302f,0.010822f,0.017781f,0.01238f,0.0048489f,0.015357f,0.051582f,0.099723f,0.14485f,0.17871f,0.1997f,0.19715f,0.18521f,0.15233f,0.095227f,0.019725f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0013625f,0.00044495f,0.000000f,0.000000f,0.0029287f,0.021123f,0.049473f,0.081894f,0.11169f,0.13466f,0.15222f,0.12939f,0.094728f,0.048381f,0.0022432f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0019269f,0.01438f,0.031384f,0.048878f,0.066587f,0.075976f,0.081342f,0.049892f,0.010122f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0023122f,0.0075151f,0.014677f,0.017689f,0.019339f,0.016553f,0.0025743f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,-9.4126e-019f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
// static constexpr const float map_legacy_ang[] = {-27,0,27,-105,105};
static constexpr const float map_legacy_xsf[] = {-1,0,1,-1,1};
// static constexpr const float map_legacy_ysf[] = {1,1,1,-1,-1};
// static constexpr const channel_id map_legacy_id[] = {ci_front_left,ci_front_center,ci_front_right,ci_back_left,ci_back_right,ci_lfe};
static constexpr const float map_legacy_lf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.052559f,0.04973f,0.046444f,0.042638f,0.038255f,0.03325f,0.027609f,0.021357f,0.014571f,0.0073897f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.11043f,0.10453f,0.097663f,0.089681f,0.080466f,0.069928f,0.058038f,0.044859f,0.030571f,0.015481f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.17379f,0.16464f,0.15393f,0.14141f,0.1269f,0.11024f,0.091419f,0.070553f,0.047977f,0.024228f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.24254f,0.23009f,0.21535f,0.19799f,0.1777f,0.1543f,0.12778f,0.098374f,0.066667f,0.03352f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.31623f,0.30059f,0.28179f,0.25935f,0.23285f,0.20203f,0.16696f,0.1281f,0.086387f,0.043173f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.39392f,0.37542f,0.35271f,0.3251f,0.292f,0.25309f,0.20858f,0.15929f,0.10674f,0.05293f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.4741f,0.45334f,0.42712f,0.39444f,0.35446f,0.30682f,0.25196f,0.19128f,0.12717f,0.062479f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.5547f,0.53253f,0.50345f,0.46602f,0.41906f,0.36214f,0.29609f,0.22322f,0.14704f,0.071497f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.63324f,0.61069f,0.57963f,0.538f,0.48415f,0.41759f,0.33971f,0.25408f,0.1657f,0.079698f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.70711f,0.68525f,0.6532f,0.60812f,0.54772f,0.4714f,0.38139f,0.28284f,0.18257f,0.086874f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.77396f,0.75372f,0.72165f,0.67398f,0.60758f,0.52174f,0.41971f,0.30863f,0.19725f,0.092925f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.83205f,0.81408f,0.78279f,0.73335f,0.66169f,0.56695f,0.45356f,0.33085f,0.20953f,0.097849f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.88047f,0.86507f,0.83508f,0.78458f,0.70851f,0.6058f,0.48218f,0.34921f,0.21943f,0.10172f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.91915f,0.90626f,0.87779f,0.82678f,0.74715f,0.63768f,0.50535f,0.36378f,0.22711f,0.10467f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.94868f,0.93803f,0.91103f,0.85983f,0.77748f,0.66259f,0.52322f,0.37484f,0.23285f,0.10684f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.97014f,0.96128f,0.93553f,0.88433f,0.8f,0.68101f,0.53632f,0.38284f,0.23694f,0.10837f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.98478f,0.97723f,0.95242f,0.9013f,0.81561f,0.69373f,0.54531f,0.38828f,0.2397f,0.10939f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.99388f,0.98718f,0.963f,0.91194f,0.82541f,0.70171f,0.55092f,0.39165f,0.2414f,0.11001f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.99862f,0.99237f,0.96853f,0.91751f,0.83055f,0.70589f,0.55385f,0.39341f,0.24228f,0.11034f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{1.000000f,0.99388f,0.97014f,0.91915f,0.83205f,0.70711f,0.5547f,0.39392f,0.24254f,0.11043f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_legacy_cf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.0055256f,0.011611f,0.018273f,0.025503f,0.03325f,0.041414f,0.049832f,0.058284f,0.066507f,0.074227f,0.066507f,0.058284f,0.049832f,0.041414f,0.03325f,0.025503f,0.018273f,0.011611f,0.0055256f,0.000000f},
{0.000000f,0.011615f,0.024416f,0.038435f,0.053644f,0.069928f,0.087057f,0.10467f,0.12228f,0.13933f,0.15523f,0.13933f,0.12228f,0.10467f,0.087057f,0.069928f,0.053644f,0.038435f,0.024416f,0.011615f,0.000000f},
{0.000000f,0.018294f,0.038482f,0.060606f,0.084599f,0.11024f,0.13713f,0.16462f,0.19191f,0.21805f,0.24214f,0.21805f,0.19191f,0.16462f,0.13713f,0.11024f,0.084599f,0.060606f,0.038482f,0.018294f,0.000000f},
{0.000000f,0.025565f,0.053838f,0.084853f,0.11847f,0.1543f,0.19166f,0.22954f,0.26667f,0.30168f,0.33333f,0.30168f,0.26667f,0.22954f,0.19166f,0.1543f,0.11847f,0.084853f,0.053838f,0.025565f,0.000000f},
{0.000000f,0.033398f,0.070447f,0.11115f,0.15523f,0.20203f,0.25044f,0.29889f,0.34555f,0.38856f,0.4264f,0.38856f,0.34555f,0.29889f,0.25044f,0.20203f,0.15523f,0.11115f,0.070447f,0.033398f,0.000000f},
{0.000000f,0.041713f,0.088178f,0.13933f,0.19467f,0.25309f,0.31287f,0.37167f,0.42694f,0.47637f,0.51832f,0.47637f,0.42694f,0.37167f,0.31287f,0.25309f,0.19467f,0.13933f,0.088178f,0.041713f,0.000000f},
{0.000000f,0.050371f,0.10678f,0.16904f,0.23631f,0.30682f,0.37793f,0.44633f,0.50867f,0.56231f,0.60584f,0.56231f,0.50867f,0.44633f,0.37793f,0.30682f,0.23631f,0.16904f,0.10678f,0.050371f,0.000000f},
{0.000000f,0.05917f,0.12586f,0.19972f,0.27937f,0.36214f,0.44414f,0.52085f,0.58817f,0.64347f,0.68599f,0.64347f,0.58817f,0.52085f,0.44414f,0.36214f,0.27937f,0.19972f,0.12586f,0.05917f,0.000000f},
{0.000000f,0.067855f,0.14491f,0.23057f,0.32277f,0.41759f,0.50957f,0.59285f,0.66281f,0.71728f,0.7566f,0.71728f,0.66281f,0.59285f,0.50957f,0.41759f,0.32277f,0.23057f,0.14491f,0.067855f,0.000000f},
{0.000000f,0.076139f,0.1633f,0.26062f,0.36515f,0.4714f,0.57208f,0.65997f,0.7303f,0.78187f,0.8165f,0.78187f,0.7303f,0.65997f,0.57208f,0.4714f,0.36515f,0.26062f,0.1633f,0.076139f,0.000000f},
{0.000000f,0.083747f,0.18041f,0.28885f,0.40505f,0.52174f,0.62957f,0.72015f,0.78899f,0.83633f,0.86558f,0.83633f,0.78899f,0.72015f,0.62957f,0.52174f,0.40505f,0.28885f,0.18041f,0.083747f,0.000000f},
{0.000000f,0.090453f,0.1957f,0.31429f,0.44113f,0.56695f,0.68034f,0.77198f,0.83812f,0.88064f,0.90453f,0.88064f,0.83812f,0.77198f,0.68034f,0.56695f,0.44113f,0.31429f,0.1957f,0.090453f,0.000000f},
{0.000000f,0.096118f,0.20877f,0.33625f,0.47234f,0.6058f,0.72328f,0.81483f,0.87771f,0.9155f,0.93455f,0.9155f,0.87771f,0.81483f,0.72328f,0.6058f,0.47234f,0.33625f,0.20877f,0.096118f,0.000000f},
{0.000000f,0.1007f,0.21945f,0.35433f,0.4981f,0.63768f,0.75802f,0.84881f,0.90844f,0.94203f,0.95702f,0.94203f,0.90844f,0.84881f,0.75802f,0.63768f,0.4981f,0.35433f,0.21945f,0.1007f,0.000000f},
{0.000000f,0.10423f,0.22776f,0.3685f,0.51832f,0.66259f,0.78484f,0.87462f,0.93138f,0.96153f,0.97333f,0.96153f,0.93138f,0.87462f,0.78484f,0.66259f,0.51832f,0.3685f,0.22776f,0.10423f,0.000000f},
{0.000000f,0.10681f,0.23388f,0.379f,0.53333f,0.68101f,0.80448f,0.89329f,0.94776f,0.97529f,0.98473f,0.97529f,0.94776f,0.89329f,0.80448f,0.68101f,0.53333f,0.379f,0.23388f,0.10681f,0.000000f},
{0.000000f,0.10858f,0.23811f,0.38627f,0.54374f,0.69373f,0.81797f,0.90598f,0.95879f,0.98449f,0.9923f,0.98449f,0.95879f,0.90598f,0.81797f,0.69373f,0.54374f,0.38627f,0.23811f,0.10858f,0.000000f},
{0.000000f,0.10969f,0.24075f,0.39083f,0.55028f,0.70171f,0.82638f,0.91386f,0.9656f,0.99013f,0.99693f,0.99013f,0.9656f,0.91386f,0.82638f,0.70171f,0.55028f,0.39083f,0.24075f,0.10969f,0.000000f},
{0.000000f,0.11026f,0.24213f,0.39322f,0.5537f,0.70589f,0.83077f,0.91795f,0.96912f,0.99304f,0.99931f,0.99304f,0.96912f,0.91795f,0.83077f,0.70589f,0.5537f,0.39322f,0.24213f,0.11026f,0.000000f},
{0.000000f,0.11043f,0.24254f,0.39392f,0.5547f,0.70711f,0.83205f,0.91915f,0.97014f,0.99388f,1.000000f,0.99388f,0.97014f,0.91915f,0.83205f,0.70711f,0.5547f,0.39392f,0.24254f,0.11043f,0.000000f}};
static constexpr const float map_legacy_rf[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.0073897f,0.014571f,0.021357f,0.027609f,0.03325f,0.038255f,0.042638f,0.046444f,0.04973f,0.052559f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.015481f,0.030571f,0.044859f,0.058038f,0.069928f,0.080466f,0.089681f,0.097663f,0.10453f,0.11043f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.024228f,0.047977f,0.070553f,0.091419f,0.11024f,0.1269f,0.14141f,0.15393f,0.16464f,0.17379f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.03352f,0.066667f,0.098374f,0.12778f,0.1543f,0.1777f,0.19799f,0.21535f,0.23009f,0.24254f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.043173f,0.086387f,0.1281f,0.16696f,0.20203f,0.23285f,0.25935f,0.28179f,0.30059f,0.31623f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.05293f,0.10674f,0.15929f,0.20858f,0.25309f,0.292f,0.3251f,0.35271f,0.37542f,0.39392f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.062479f,0.12717f,0.19128f,0.25196f,0.30682f,0.35446f,0.39444f,0.42712f,0.45334f,0.4741f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.071497f,0.14704f,0.22322f,0.29609f,0.36214f,0.41906f,0.46602f,0.50345f,0.53253f,0.5547f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.079698f,0.1657f,0.25408f,0.33971f,0.41759f,0.48415f,0.538f,0.57963f,0.61069f,0.63324f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.086874f,0.18257f,0.28284f,0.38139f,0.4714f,0.54772f,0.60812f,0.6532f,0.68525f,0.70711f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.092925f,0.19725f,0.30863f,0.41971f,0.52174f,0.60758f,0.67398f,0.72165f,0.75372f,0.77396f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.097849f,0.20953f,0.33085f,0.45356f,0.56695f,0.66169f,0.73335f,0.78279f,0.81408f,0.83205f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10172f,0.21943f,0.34921f,0.48218f,0.6058f,0.70851f,0.78458f,0.83508f,0.86507f,0.88047f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10467f,0.22711f,0.36378f,0.50535f,0.63768f,0.74715f,0.82678f,0.87779f,0.90626f,0.91915f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10684f,0.23285f,0.37484f,0.52322f,0.66259f,0.77748f,0.85983f,0.91103f,0.93803f,0.94868f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10837f,0.23694f,0.38284f,0.53632f,0.68101f,0.8f,0.88433f,0.93553f,0.96128f,0.97014f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.10939f,0.2397f,0.38828f,0.54531f,0.69373f,0.81561f,0.9013f,0.95242f,0.97723f,0.98478f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.11001f,0.2414f,0.39165f,0.55092f,0.70171f,0.82541f,0.91194f,0.963f,0.98718f,0.99388f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.11034f,0.24228f,0.39341f,0.55385f,0.70589f,0.83055f,0.91751f,0.96853f,0.99237f,0.99862f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.11043f,0.24254f,0.39392f,0.5547f,0.70711f,0.83205f,0.91915f,0.97014f,0.99388f,1.000000f}};
static constexpr const float map_legacy_ls[21][21] = {
{1.000000f,0.99862f,0.99388f,0.98478f,0.97014f,0.94868f,0.91915f,0.88047f,0.83205f,0.77396f,0.70711f,0.63324f,0.5547f,0.4741f,0.39392f,0.31623f,0.24254f,0.17379f,0.11043f,0.052559f,0.000000f},
{0.99862f,0.99737f,0.99274f,0.98372f,0.96912f,0.94763f,0.91801f,0.87918f,0.83055f,0.77222f,0.70516f,0.63182f,0.5537f,0.4734f,0.39343f,0.31588f,0.24228f,0.1736f,0.1103f,0.052493f,0.000000f},
{0.99388f,0.99308f,0.98883f,0.98008f,0.9656f,0.94403f,0.9141f,0.87474f,0.82541f,0.76631f,0.69854f,0.62698f,0.55028f,0.47102f,0.39176f,0.31468f,0.2414f,0.17296f,0.10987f,0.052267f,0.000000f},
{0.98478f,0.98482f,0.98129f,0.97306f,0.95879f,0.93708f,0.90658f,0.86623f,0.81561f,0.7551f,0.68606f,0.61781f,0.54374f,0.46643f,0.38853f,0.31236f,0.2397f,0.17172f,0.10903f,0.051833f,0.000000f},
{0.97014f,0.97149f,0.96909f,0.96167f,0.94776f,0.92582f,0.89443f,0.85257f,0.8f,0.73744f,0.66667f,0.60336f,0.53333f,0.45908f,0.38333f,0.30861f,0.23694f,0.16971f,0.10768f,0.051131f,0.000000f},
{0.94868f,0.95185f,0.95103f,0.94477f,0.93138f,0.90914f,0.87652f,0.83262f,0.77748f,0.71236f,0.6396f,0.58284f,0.51832f,0.44833f,0.37565f,0.30305f,0.23285f,0.16672f,0.10567f,0.050098f,0.000000f},
{0.91915f,0.92464f,0.92587f,0.92113f,0.90844f,0.88583f,0.85169f,0.80528f,0.74715f,0.67926f,0.60471f,0.55576f,0.4981f,0.43361f,0.36501f,0.29528f,0.22711f,0.16255f,0.10287f,0.048665f,0.000000f},
{0.88047f,0.88868f,0.89238f,0.8895f,0.87771f,0.85472f,0.81886f,0.76969f,0.70851f,0.63818f,0.56257f,0.52214f,0.47234f,0.41445f,0.35094f,0.28491f,0.21943f,0.15697f,0.099153f,0.046773f,0.000000f},
{0.83205f,0.84317f,0.84958f,0.84882f,0.83812f,0.81482f,0.77724f,0.72546f,0.66169f,0.58985f,0.5145f,0.4826f,0.44113f,0.39063f,0.3331f,0.27161f,0.20953f,0.14979f,0.094398f,0.044378f,0.000000f},
{0.77396f,0.78787f,0.79699f,0.79846f,0.78899f,0.76558f,0.72661f,0.67284f,0.60758f,0.53574f,0.46236f,0.43834f,0.40505f,0.3623f,0.3114f,0.25519f,0.19725f,0.1409f,0.088554f,0.041467f,0.000000f},
{0.70711f,0.72332f,0.73485f,0.73843f,0.7303f,0.70711f,0.66742f,0.61283f,0.54772f,0.47781f,0.40825f,0.39094f,0.36515f,0.32998f,0.28604f,0.2357f,0.18257f,0.13031f,0.08165f,0.038069f,0.000000f},
{0.63324f,0.65094f,0.66425f,0.6696f,0.66281f,0.64032f,0.60095f,0.54712f,0.48415f,0.41816f,0.3541f,0.34213f,0.32277f,0.2946f,0.25755f,0.21344f,0.1657f,0.11816f,0.073805f,0.03426f,0.000000f},
{0.5547f,0.57287f,0.5871f,0.59367f,0.58817f,0.56695f,0.52915f,0.47789f,0.41906f,0.35878f,0.30151f,0.29355f,0.27937f,0.25733f,0.22678f,0.18898f,0.14704f,0.10476f,0.065233f,0.030151f,0.000000f},
{0.4741f,0.49168f,0.50587f,0.513f,0.50867f,0.4893f,0.45437f,0.40741f,0.35446f,0.30126f,0.25161f,0.24648f,0.23631f,0.21938f,0.19473f,0.1631f,0.12717f,0.090529f,0.056207f,0.025878f,0.000000f},
{0.39392f,0.40998f,0.42322f,0.43026f,0.42694f,0.40994f,0.37901f,0.33779f,0.292f,0.24672f,0.20508f,0.20186f,0.19467f,0.18189f,0.16243f,0.13665f,0.10674f,0.075928f,0.047024f,0.021578f,0.000000f},
{0.31623f,0.33005f,0.34164f,0.34803f,0.34555f,0.33129f,0.30521f,0.27072f,0.23285f,0.19587f,0.16222f,0.16026f,0.15523f,0.14577f,0.13081f,0.11043f,0.086387f,0.061417f,0.037959f,0.017371f,0.000000f},
{0.24254f,0.25367f,0.26312f,0.26846f,0.26667f,0.25538f,0.23464f,0.20737f,0.1777f,0.149f,0.12309f,0.12191f,0.11847f,0.11166f,0.10056f,0.085126f,0.066667f,0.047375f,0.029235f,0.013351f,0.000000f},
{0.17379f,0.18203f,0.18908f,0.19313f,0.19191f,0.18364f,0.1684f,0.14846f,0.1269f,0.10617f,0.087556f,0.086867f,0.084599f,0.07994f,0.072173f,0.061212f,0.047977f,0.034083f,0.021009f,0.0095807f,0.000000f},
{0.11043f,0.11578f,0.12038f,0.12304f,0.12228f,0.11695f,0.10712f,0.094287f,0.080466f,0.067231f,0.055385f,0.055007f,0.053644f,0.05077f,0.04591f,0.038984f,0.030571f,0.021713f,0.013375f,0.0060937f,0.000000f},
{0.052559f,0.055132f,0.057347f,0.058638f,0.058284f,0.055728f,0.051012f,0.044862f,0.038255f,0.03194f,0.026298f,0.026133f,0.025503f,0.024157f,0.021862f,0.018576f,0.014571f,0.010348f,0.0063719f,0.0029017f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_legacy_rs[21][21] = {
{0.000000f,0.052559f,0.11043f,0.17379f,0.24254f,0.31623f,0.39392f,0.4741f,0.5547f,0.63324f,0.70711f,0.77396f,0.83205f,0.88047f,0.91915f,0.94868f,0.97014f,0.98478f,0.99388f,0.99862f,1.000000f},
{0.000000f,0.052493f,0.1103f,0.1736f,0.24228f,0.31588f,0.39343f,0.4734f,0.5537f,0.63182f,0.70516f,0.77222f,0.83055f,0.87918f,0.91801f,0.94763f,0.96912f,0.98372f,0.99274f,0.99737f,0.99862f},
{0.000000f,0.052267f,0.10987f,0.17296f,0.2414f,0.31468f,0.39176f,0.47102f,0.55028f,0.62698f,0.69854f,0.76631f,0.82541f,0.87474f,0.9141f,0.94403f,0.9656f,0.98008f,0.98883f,0.99308f,0.99388f},
{0.000000f,0.051833f,0.10903f,0.17172f,0.2397f,0.31236f,0.38853f,0.46643f,0.54374f,0.61781f,0.68606f,0.7551f,0.81561f,0.86623f,0.90658f,0.93708f,0.95879f,0.97306f,0.98129f,0.98482f,0.98478f},
{0.000000f,0.051131f,0.10768f,0.16971f,0.23694f,0.30861f,0.38333f,0.45908f,0.53333f,0.60336f,0.66667f,0.73744f,0.8f,0.85257f,0.89443f,0.92582f,0.94776f,0.96167f,0.96909f,0.97149f,0.97014f},
{0.000000f,0.050098f,0.10567f,0.16672f,0.23285f,0.30305f,0.37565f,0.44833f,0.51832f,0.58284f,0.6396f,0.71236f,0.77748f,0.83262f,0.87652f,0.90914f,0.93138f,0.94477f,0.95103f,0.95185f,0.94868f},
{0.000000f,0.048665f,0.10287f,0.16255f,0.22711f,0.29528f,0.36501f,0.43361f,0.4981f,0.55576f,0.60471f,0.67926f,0.74715f,0.80528f,0.85169f,0.88583f,0.90844f,0.92113f,0.92587f,0.92464f,0.91915f},
{0.000000f,0.046773f,0.099153f,0.15697f,0.21943f,0.28491f,0.35094f,0.41445f,0.47234f,0.52214f,0.56257f,0.63818f,0.70851f,0.76969f,0.81886f,0.85472f,0.87771f,0.8895f,0.89238f,0.88868f,0.88047f},
{0.000000f,0.044378f,0.094398f,0.14979f,0.20953f,0.27161f,0.3331f,0.39063f,0.44113f,0.4826f,0.5145f,0.58985f,0.66169f,0.72546f,0.77724f,0.81482f,0.83812f,0.84882f,0.84958f,0.84317f,0.83205f},
{0.000000f,0.041467f,0.088554f,0.1409f,0.19725f,0.25519f,0.3114f,0.3623f,0.40505f,0.43834f,0.46236f,0.53574f,0.60758f,0.67284f,0.72661f,0.76558f,0.78899f,0.79846f,0.79699f,0.78787f,0.77396f},
{0.000000f,0.038069f,0.08165f,0.13031f,0.18257f,0.2357f,0.28604f,0.32998f,0.36515f,0.39094f,0.40825f,0.47781f,0.54772f,0.61283f,0.66742f,0.70711f,0.7303f,0.73843f,0.73485f,0.72332f,0.70711f},
{0.000000f,0.03426f,0.073805f,0.11816f,0.1657f,0.21344f,0.25755f,0.2946f,0.32277f,0.34213f,0.3541f,0.41816f,0.48415f,0.54712f,0.60095f,0.64032f,0.66281f,0.6696f,0.66425f,0.65094f,0.63324f},
{0.000000f,0.030151f,0.065233f,0.10476f,0.14704f,0.18898f,0.22678f,0.25733f,0.27937f,0.29355f,0.30151f,0.35878f,0.41906f,0.47789f,0.52915f,0.56695f,0.58817f,0.59367f,0.5871f,0.57287f,0.5547f},
{0.000000f,0.025878f,0.056207f,0.090529f,0.12717f,0.1631f,0.19473f,0.21938f,0.23631f,0.24648f,0.25161f,0.30126f,0.35446f,0.40741f,0.45437f,0.4893f,0.50867f,0.513f,0.50587f,0.49168f,0.4741f},
{0.000000f,0.021578f,0.047024f,0.075928f,0.10674f,0.13665f,0.16243f,0.18189f,0.19467f,0.20186f,0.20508f,0.24672f,0.292f,0.33779f,0.37901f,0.40994f,0.42694f,0.43026f,0.42322f,0.40998f,0.39392f},
{0.000000f,0.017371f,0.037959f,0.061417f,0.086387f,0.11043f,0.13081f,0.14577f,0.15523f,0.16026f,0.16222f,0.19587f,0.23285f,0.27072f,0.30521f,0.33129f,0.34555f,0.34803f,0.34164f,0.33005f,0.31623f},
{0.000000f,0.013351f,0.029235f,0.047375f,0.066667f,0.085126f,0.10056f,0.11166f,0.11847f,0.12191f,0.12309f,0.149f,0.1777f,0.20737f,0.23464f,0.25538f,0.26667f,0.26846f,0.26312f,0.25367f,0.24254f},
{0.000000f,0.0095807f,0.021009f,0.034083f,0.047977f,0.061212f,0.072173f,0.07994f,0.084599f,0.086867f,0.087556f,0.10617f,0.1269f,0.14846f,0.1684f,0.18364f,0.19191f,0.19313f,0.18908f,0.18203f,0.17379f},
{0.000000f,0.0060937f,0.013375f,0.021713f,0.030571f,0.038984f,0.04591f,0.05077f,0.053644f,0.055007f,0.055385f,0.067231f,0.080466f,0.094287f,0.10712f,0.11695f,0.12228f,0.12304f,0.12038f,0.11578f,0.11043f},
{0.000000f,0.0029017f,0.0063719f,0.010348f,0.014571f,0.018576f,0.021862f,0.024157f,0.025503f,0.026133f,0.026298f,0.03194f,0.038255f,0.044862f,0.051012f,0.055728f,0.058284f,0.058638f,0.057347f,0.055132f,0.052559f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
static constexpr const float map_lfe_lfe[21][21] = {
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f},
{0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f,0.000000f}};
// clang-format on
static constexpr const FreeSurroundDecoder::LUT lut_stereo[] = {
map_stereo_lf,
map_stereo_rf,
map_lfe_lfe,
};
static constexpr const FreeSurroundDecoder::LUT lut_4point1[] = {
map_4point1_lf, map_4point1_rf, map_4point1_ls, map_4point1_rs, map_lfe_lfe,
};
static constexpr const FreeSurroundDecoder::LUT lut_5point1[] = {
map_5point1_lf, map_5point1_cf, map_5point1_rf, map_5point1_ls, map_5point1_rs, map_lfe_lfe,
};
static constexpr const FreeSurroundDecoder::LUT lut_7point1[] = {
map_7point1_lf, map_7point1_cf, map_7point1_rf, map_7point1_lsm,
map_7point1_rsm, map_7point1_ls, map_7point1_rs, map_lfe_lfe,
};
static constexpr const FreeSurroundDecoder::LUT lut_legacy[] = {
map_legacy_lf, map_legacy_cf, map_legacy_rf, map_legacy_ls, map_legacy_rs, map_lfe_lfe,
};
constinit const std::array<FreeSurroundDecoder::ChannelMap,
static_cast<size_t>(FreeSurroundDecoder::ChannelSetup::MaxCount)>
FreeSurroundDecoder::s_channel_maps = {{
{lut_stereo, map_stereo_xsf}, // Stereo
{lut_4point1, map_4point1_xsf}, // Quadraphonic
{lut_5point1, map_5point1_xsf}, // Surround51
{lut_7point1, map_7point1_xsf}, // Surround71
{lut_legacy, map_legacy_xsf}, // Legacy
}};

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// SPDX-FileCopyrightText: 2007-2010 Christian Kothe, 2024 Connor McLaughlin <stenzek@gmail.com>
// SPDX-License-Identifier: GPL-2.0+
#include "FreeSurroundDecoder.h"
#include <algorithm>
#include <cmath>
static constexpr float pi = 3.141592654f;
static constexpr float epsilon = 0.000001f;
template<typename T>
static inline T sqr(T x)
{
return x * x;
}
template<typename T>
static inline T clamp1(T x)
{
return std::clamp(x, static_cast<T>(-1), static_cast<T>(1));
}
template<typename T>
static inline T sign(T x)
{
return x < static_cast<T>(0) ? static_cast<T>(-1) : (x > static_cast<T>(0) ? static_cast<T>(1) : static_cast<T>(0));
}
static inline double amplitude(const std::complex<double>& x)
{
return sqrt(sqr(x.real()) + sqr(x.imag()));
}
static inline double phase(const std::complex<double>& x)
{
return atan2(x.imag(), x.real());
}
static inline std::complex<double> polar(double a, double p)
{
return std::complex<double>(a * std::cos(p), a * std::sin(p));
}
// get the distance of the soundfield edge, along a given angle
static inline double edgedistance(double a)
{
return std::min(std::sqrt(1 + sqr(std::tan(a))), std::sqrt(1 + sqr(1 / std::tan(a))));
}
static void transform_decode(double a, double p, double& x, double& y);
// apply a circular_wrap transformation to some position
static void transform_circular_wrap(double& x, double& y, double refangle);
// apply a focus transformation to some position
static void transform_focus(double& x, double& y, double focus);
// get the index (and fractional offset!) in a piecewise-linear channel allocation grid
int FreeSurroundDecoder::MapToGrid(double& x)
{
const double gp = ((x + 1) * 0.5) * (grid_res - 1);
const double i = std::min(static_cast<double>(grid_res - 2), std::floor(gp));
x = gp - i;
return static_cast<int>(i);
}
FreeSurroundDecoder::FreeSurroundDecoder(ChannelSetup setup, unsigned blocksize)
: cmap(s_channel_maps[static_cast<size_t>(setup)])
{
N = blocksize;
C = static_cast<unsigned>(cmap.luts.size());
wnd.resize(blocksize);
lt.resize(blocksize);
rt.resize(blocksize);
dst.resize(blocksize);
lf.resize(blocksize / 2 + 1);
rf.resize(blocksize / 2 + 1);
forward = kiss_fftr_alloc(blocksize, 0, 0, 0);
inverse = kiss_fftr_alloc(blocksize, 1, 0, 0);
// allocate per-channel buffers
inbuf.resize(3 * N);
outbuf.resize((N + N / 2) * C);
signal.resize(C, std::vector<cplx>(N));
// init the window function
for (unsigned k = 0; k < N; k++)
wnd[k] = sqrt(0.5 * (1 - cos(2 * pi * k / N)) / N);
// set default parameters
SetCircularWrap(90);
SetShift(0);
SetDepth(1);
SetFocus(0);
SetCenterImage(1);
SetFrontSeparation(1);
SetRearSeparation(1);
SetLowCutoff(40.0f / 22050.0f);
SetHighCutoff(90.0f / 22050.0f);
SetBassRedirection(false);
}
FreeSurroundDecoder::~FreeSurroundDecoder()
{
kiss_fftr_free(forward);
kiss_fftr_free(inverse);
}
// decode a stereo chunk, produces a multichannel chunk of the same size (lagged)
float* FreeSurroundDecoder::Decode(float* input)
{
// append incoming data to the end of the input buffer
memcpy(&inbuf[N], &input[0], 8 * N);
// process first and second half, overlapped
BufferedDecode(&inbuf[0]);
BufferedDecode(&inbuf[N]);
// shift last half of the input to the beginning (for overlapping with a future block)
memcpy(&inbuf[0], &inbuf[2 * N], 4 * N);
buffer_empty = false;
return &outbuf[0];
}
// flush the internal buffers
void FreeSurroundDecoder::Flush()
{
memset(&outbuf[0], 0, outbuf.size() * 4);
memset(&inbuf[0], 0, inbuf.size() * 4);
buffer_empty = true;
}
// number of samples currently held in the buffer
unsigned FreeSurroundDecoder::GetSamplesBuffered()
{
return buffer_empty ? 0 : N / 2;
}
// set soundfield & rendering parameters
void FreeSurroundDecoder::SetCircularWrap(float v)
{
circular_wrap = v;
}
void FreeSurroundDecoder::SetShift(float v)
{
shift = v;
}
void FreeSurroundDecoder::SetDepth(float v)
{
depth = v;
}
void FreeSurroundDecoder::SetFocus(float v)
{
focus = v;
}
void FreeSurroundDecoder::SetCenterImage(float v)
{
center_image = v;
}
void FreeSurroundDecoder::SetFrontSeparation(float v)
{
front_separation = v;
}
void FreeSurroundDecoder::SetRearSeparation(float v)
{
rear_separation = v;
}
void FreeSurroundDecoder::SetLowCutoff(float v)
{
lo_cut = v * (N / 2);
}
void FreeSurroundDecoder::SetHighCutoff(float v)
{
hi_cut = v * (N / 2);
}
void FreeSurroundDecoder::SetBassRedirection(bool v)
{
use_lfe = v;
}
// decode a block of data and overlap-add it into outbuf
void FreeSurroundDecoder::BufferedDecode(float* input)
{
// demultiplex and apply window function
for (unsigned k = 0; k < N; k++)
{
lt[k] = wnd[k] * input[k * 2 + 0];
rt[k] = wnd[k] * input[k * 2 + 1];
}
// map into spectral domain
kiss_fftr(forward, &lt[0], (kiss_fft_cpx*)&lf[0]);
kiss_fftr(forward, &rt[0], (kiss_fft_cpx*)&rf[0]);
// compute multichannel output signal in the spectral domain
for (unsigned f = 1; f < N / 2; f++)
{
// get Lt/Rt amplitudes & phases
double ampL = amplitude(lf[f]), ampR = amplitude(rf[f]);
double phaseL = phase(lf[f]), phaseR = phase(rf[f]);
// calculate the amplitude & phase differences
double ampDiff = clamp1((ampL + ampR < epsilon) ? 0 : (ampR - ampL) / (ampR + ampL));
double phaseDiff = abs(phaseL - phaseR);
if (phaseDiff > pi)
phaseDiff = 2 * pi - phaseDiff;
// decode into x/y soundfield position
double x, y;
transform_decode(ampDiff, phaseDiff, x, y);
// add wrap control
transform_circular_wrap(x, y, circular_wrap);
// add shift control
y = clamp1(y - shift);
// add depth control
y = clamp1(1 - (1 - y) * depth);
// add focus control
transform_focus(x, y, focus);
// add crossfeed control
x = clamp1(x * (front_separation * (1 + y) / 2 + rear_separation * (1 - y) / 2));
// get total signal amplitude
double amp_total = sqrt(ampL * ampL + ampR * ampR);
// and total L/C/R signal phases
double phase_of[] = {phaseL, atan2(lf[f].imag() + rf[f].imag(), lf[f].real() + rf[f].real()), phaseR};
// compute 2d channel map indexes p/q and update x/y to fractional offsets in the map grid
int p = MapToGrid(x), q = MapToGrid(y);
// map position to channel volumes
for (unsigned c = 0; c < C - 1; c++)
{
// look up channel map at respective position (with bilinear interpolation) and build the signal
const auto& a = cmap.luts[c];
signal[c][f] = polar(amp_total * ((1 - x) * (1 - y) * a[q][p] + x * (1 - y) * a[q][p + 1] +
(1 - x) * y * a[q + 1][p] + x * y * a[q + 1][p + 1]),
phase_of[1 + (int)sign(cmap.xsf[c])]);
}
// optionally redirect bass
if (use_lfe && f < hi_cut)
{
// level of LFE channel according to normalized frequency
double lfe_level = f < lo_cut ? 1 : 0.5 * (1 + cos(pi * (f - lo_cut) / (hi_cut - lo_cut)));
// assign LFE channel
signal[C - 1][f] = lfe_level * polar(amp_total, phase_of[1]);
// subtract the signal from the other channels
for (unsigned c = 0; c < C - 1; c++)
signal[c][f] *= (1 - lfe_level);
}
}
// shift the last 2/3 to the first 2/3 of the output buffer
memmove(&outbuf[0], &outbuf[C * N / 2], N * C * 4);
// and clear the rest
memset(&outbuf[C * N], 0, C * 4 * N / 2);
// backtransform each channel and overlap-add
for (unsigned c = 0; c < C; c++)
{
// back-transform into time domain
kiss_fftri(inverse, (kiss_fft_cpx*)&signal[c][0], &dst[0]);
// add the result to the last 2/3 of the output buffer, windowed (and remultiplex)
for (unsigned k = 0; k < N; k++)
outbuf[C * (k + N / 2) + c] = static_cast<float>(outbuf[C * (k + N / 2) + c] + (wnd[k] * dst[k]));
}
}
// transform amp/phase difference space into x/y soundfield space
void transform_decode(double a, double p, double& x, double& y)
{
x = clamp1(1.0047 * a + 0.46804 * a * p * p * p - 0.2042 * a * p * p * p * p +
0.0080586 * a * p * p * p * p * p * p * p - 0.0001526 * a * p * p * p * p * p * p * p * p * p * p -
0.073512 * a * a * a * p - 0.2499 * a * a * a * p * p * p * p +
0.016932 * a * a * a * p * p * p * p * p * p * p -
0.00027707 * a * a * a * p * p * p * p * p * p * p * p * p * p +
0.048105 * a * a * a * a * a * p * p * p * p * p * p * p -
0.0065947 * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p +
0.0016006 * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p * p -
0.0071132 * a * a * a * a * a * a * a * p * p * p * p * p * p * p * p * p +
0.0022336 * a * a * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p * p -
0.0004804 * a * a * a * a * a * a * a * p * p * p * p * p * p * p * p * p * p * p * p);
y = clamp1(0.98592 - 0.62237 * p + 0.077875 * p * p - 0.0026929 * p * p * p * p * p + 0.4971 * a * a * p -
0.00032124 * a * a * p * p * p * p * p * p +
9.2491e-006 * a * a * a * a * p * p * p * p * p * p * p * p * p * p +
0.051549 * a * a * a * a * a * a * a * a + 1.0727e-014 * a * a * a * a * a * a * a * a * a * a);
}
// apply a circular_wrap transformation to some position
void transform_circular_wrap(double& x, double& y, double refangle)
{
if (refangle == 90)
return;
refangle = refangle * pi / 180;
double baseangle = 90 * pi / 180;
// translate into edge-normalized polar coordinates
double ang = atan2(x, y), len = sqrt(x * x + y * y);
len = len / edgedistance(ang);
// apply circular_wrap transform
if (abs(ang) < baseangle / 2)
// angle falls within the front region (to be enlarged)
ang *= refangle / baseangle;
else
// angle falls within the rear region (to be shrunken)
ang = pi - (-(((refangle - 2 * pi) * (pi - abs(ang)) * sign(ang)) / (2 * pi - baseangle)));
// translate back into soundfield position
len = len * edgedistance(ang);
x = clamp1(sin(ang) * len);
y = clamp1(cos(ang) * len);
}
// apply a focus transformation to some position
void transform_focus(double& x, double& y, double focus)
{
if (focus == 0)
return;
// translate into edge-normalized polar coordinates
double ang = atan2(x, y), len = clamp1(sqrt(x * x + y * y) / edgedistance(ang));
// apply focus
len = focus > 0 ? 1 - pow(1 - len, 1 + focus * 20) : pow(len, 1 - focus * 20);
// back-transform into euclidian soundfield position
len = len * edgedistance(ang);
x = clamp1(sin(ang) * len);
y = clamp1(cos(ang) * len);
}

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/*
Copyright (c) 2003-2010, Mark Borgerding
All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
* 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.
* Neither the author nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 THE COPYRIGHT OWNER 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.
*/
/* kiss_fft.h
defines kiss_fft_scalar as either short or a float type
and defines
typedef struct { kiss_fft_scalar r; kiss_fft_scalar i; }kiss_fft_cpx; */
#include "kiss_fft.h"
#include <limits.h>
#define MAXFACTORS 32
/* e.g. an fft of length 128 has 4 factors
as far as kissfft is concerned
4*4*4*2
*/
struct kiss_fft_state{
int nfft;
int inverse;
int factors[2*MAXFACTORS];
kiss_fft_cpx twiddles[1];
};
/*
Explanation of macros dealing with complex math:
C_MUL(m,a,b) : m = a*b
C_FIXDIV( c , div ) : if a fixed point impl., c /= div. noop otherwise
C_SUB( res, a,b) : res = a - b
C_SUBFROM( res , a) : res -= a
C_ADDTO( res , a) : res += a
* */
#ifdef FIXED_POINT
#if (FIXED_POINT==32)
# define FRACBITS 31
# define SAMPPROD int64_t
#define SAMP_MAX 2147483647
#else
# define FRACBITS 15
# define SAMPPROD int32_t
#define SAMP_MAX 32767
#endif
#define SAMP_MIN -SAMP_MAX
#if defined(CHECK_OVERFLOW)
# define CHECK_OVERFLOW_OP(a,op,b) \
if ( (SAMPPROD)(a) op (SAMPPROD)(b) > SAMP_MAX || (SAMPPROD)(a) op (SAMPPROD)(b) < SAMP_MIN ) { \
fprintf(stderr,"WARNING:overflow @ " __FILE__ "(%d): (%d " #op" %d) = %ld\n",__LINE__,(a),(b),(SAMPPROD)(a) op (SAMPPROD)(b) ); }
#endif
# define smul(a,b) ( (SAMPPROD)(a)*(b) )
# define sround( x ) (kiss_fft_scalar)( ( (x) + (1<<(FRACBITS-1)) ) >> FRACBITS )
# define S_MUL(a,b) sround( smul(a,b) )
# define C_MUL(m,a,b) \
do{ (m).r = sround( smul((a).r,(b).r) - smul((a).i,(b).i) ); \
(m).i = sround( smul((a).r,(b).i) + smul((a).i,(b).r) ); }while(0)
# define DIVSCALAR(x,k) \
(x) = sround( smul( x, SAMP_MAX/k ) )
# define C_FIXDIV(c,div) \
do { DIVSCALAR( (c).r , div); \
DIVSCALAR( (c).i , div); }while (0)
# define C_MULBYSCALAR( c, s ) \
do{ (c).r = sround( smul( (c).r , s ) ) ;\
(c).i = sround( smul( (c).i , s ) ) ; }while(0)
#else /* not FIXED_POINT*/
# define S_MUL(a,b) ( (a)*(b) )
#define C_MUL(m,a,b) \
do{ (m).r = (a).r*(b).r - (a).i*(b).i;\
(m).i = (a).r*(b).i + (a).i*(b).r; }while(0)
# define C_FIXDIV(c,div) /* NOOP */
# define C_MULBYSCALAR( c, s ) \
do{ (c).r *= (s);\
(c).i *= (s); }while(0)
#endif
#ifndef CHECK_OVERFLOW_OP
# define CHECK_OVERFLOW_OP(a,op,b) /* noop */
#endif
#define C_ADD( res, a,b)\
do { \
CHECK_OVERFLOW_OP((a).r,+,(b).r)\
CHECK_OVERFLOW_OP((a).i,+,(b).i)\
(res).r=(a).r+(b).r; (res).i=(a).i+(b).i; \
}while(0)
#define C_SUB( res, a,b)\
do { \
CHECK_OVERFLOW_OP((a).r,-,(b).r)\
CHECK_OVERFLOW_OP((a).i,-,(b).i)\
(res).r=(a).r-(b).r; (res).i=(a).i-(b).i; \
}while(0)
#define C_ADDTO( res , a)\
do { \
CHECK_OVERFLOW_OP((res).r,+,(a).r)\
CHECK_OVERFLOW_OP((res).i,+,(a).i)\
(res).r += (a).r; (res).i += (a).i;\
}while(0)
#define C_SUBFROM( res , a)\
do {\
CHECK_OVERFLOW_OP((res).r,-,(a).r)\
CHECK_OVERFLOW_OP((res).i,-,(a).i)\
(res).r -= (a).r; (res).i -= (a).i; \
}while(0)
#ifdef FIXED_POINT
# define KISS_FFT_COS(phase) floor(.5+SAMP_MAX * cos (phase))
# define KISS_FFT_SIN(phase) floor(.5+SAMP_MAX * sin (phase))
# define HALF_OF(x) ((x)>>1)
#elif defined(USE_SIMD)
# define KISS_FFT_COS(phase) _mm_set1_ps( cos(phase) )
# define KISS_FFT_SIN(phase) _mm_set1_ps( sin(phase) )
# define HALF_OF(x) ((x)*_mm_set1_ps(.5))
#else
# define KISS_FFT_COS(phase) (kiss_fft_scalar) cos(phase)
# define KISS_FFT_SIN(phase) (kiss_fft_scalar) sin(phase)
# define HALF_OF(x) ((x)*.5)
#endif
#define kf_cexp(x,phase) \
do{ \
(x)->r = KISS_FFT_COS(phase);\
(x)->i = KISS_FFT_SIN(phase);\
}while(0)
/* a debugging function */
#define pcpx(c)\
fprintf(stderr,"%g + %gi\n",(double)((c)->r),(double)((c)->i) )
#ifdef KISS_FFT_USE_ALLOCA
// define this to allow use of alloca instead of malloc for temporary buffers
// Temporary buffers are used in two case:
// 1. FFT sizes that have "bad" factors. i.e. not 2,3 and 5
// 2. "in-place" FFTs. Notice the quotes, since kissfft does not really do an in-place transform.
#include <alloca.h>
#define KISS_FFT_TMP_ALLOC(nbytes) alloca(nbytes)
#define KISS_FFT_TMP_FREE(ptr)
#else
#define KISS_FFT_TMP_ALLOC(nbytes) KISS_FFT_MALLOC(nbytes)
#define KISS_FFT_TMP_FREE(ptr) KISS_FFT_FREE(ptr)
#endif

408
3rdparty/freesurround/src/kiss_fft.cpp vendored Normal file
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@ -0,0 +1,408 @@
/*
Copyright (c) 2003-2010, Mark Borgerding
All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
* 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.
* Neither the author nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 THE COPYRIGHT OWNER 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.
*/
#include "_kiss_fft_guts.h"
/* The guts header contains all the multiplication and addition macros that are defined for
fixed or floating point complex numbers. It also delares the kf_ internal functions.
*/
static void kf_bfly2(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
int m
)
{
kiss_fft_cpx * Fout2;
kiss_fft_cpx * tw1 = st->twiddles;
kiss_fft_cpx t;
Fout2 = Fout + m;
do{
C_FIXDIV(*Fout,2); C_FIXDIV(*Fout2,2);
C_MUL (t, *Fout2 , *tw1);
tw1 += fstride;
C_SUB( *Fout2 , *Fout , t );
C_ADDTO( *Fout , t );
++Fout2;
++Fout;
}while (--m);
}
static void kf_bfly4(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
const size_t m
)
{
kiss_fft_cpx *tw1,*tw2,*tw3;
kiss_fft_cpx scratch[6];
size_t k=m;
const size_t m2=2*m;
const size_t m3=3*m;
tw3 = tw2 = tw1 = st->twiddles;
do {
C_FIXDIV(*Fout,4); C_FIXDIV(Fout[m],4); C_FIXDIV(Fout[m2],4); C_FIXDIV(Fout[m3],4);
C_MUL(scratch[0],Fout[m] , *tw1 );
C_MUL(scratch[1],Fout[m2] , *tw2 );
C_MUL(scratch[2],Fout[m3] , *tw3 );
C_SUB( scratch[5] , *Fout, scratch[1] );
C_ADDTO(*Fout, scratch[1]);
C_ADD( scratch[3] , scratch[0] , scratch[2] );
C_SUB( scratch[4] , scratch[0] , scratch[2] );
C_SUB( Fout[m2], *Fout, scratch[3] );
tw1 += fstride;
tw2 += fstride*2;
tw3 += fstride*3;
C_ADDTO( *Fout , scratch[3] );
if(st->inverse) {
Fout[m].r = scratch[5].r - scratch[4].i;
Fout[m].i = scratch[5].i + scratch[4].r;
Fout[m3].r = scratch[5].r + scratch[4].i;
Fout[m3].i = scratch[5].i - scratch[4].r;
}else{
Fout[m].r = scratch[5].r + scratch[4].i;
Fout[m].i = scratch[5].i - scratch[4].r;
Fout[m3].r = scratch[5].r - scratch[4].i;
Fout[m3].i = scratch[5].i + scratch[4].r;
}
++Fout;
}while(--k);
}
static void kf_bfly3(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
size_t m
)
{
size_t k=m;
const size_t m2 = 2*m;
kiss_fft_cpx *tw1,*tw2;
kiss_fft_cpx scratch[5];
kiss_fft_cpx epi3;
epi3 = st->twiddles[fstride*m];
tw1=tw2=st->twiddles;
do{
C_FIXDIV(*Fout,3); C_FIXDIV(Fout[m],3); C_FIXDIV(Fout[m2],3);
C_MUL(scratch[1],Fout[m] , *tw1);
C_MUL(scratch[2],Fout[m2] , *tw2);
C_ADD(scratch[3],scratch[1],scratch[2]);
C_SUB(scratch[0],scratch[1],scratch[2]);
tw1 += fstride;
tw2 += fstride*2;
Fout[m].r = Fout->r - HALF_OF(scratch[3].r);
Fout[m].i = Fout->i - HALF_OF(scratch[3].i);
C_MULBYSCALAR( scratch[0] , epi3.i );
C_ADDTO(*Fout,scratch[3]);
Fout[m2].r = Fout[m].r + scratch[0].i;
Fout[m2].i = Fout[m].i - scratch[0].r;
Fout[m].r -= scratch[0].i;
Fout[m].i += scratch[0].r;
++Fout;
}while(--k);
}
static void kf_bfly5(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
int m
)
{
kiss_fft_cpx *Fout0,*Fout1,*Fout2,*Fout3,*Fout4;
int u;
kiss_fft_cpx scratch[13];
kiss_fft_cpx * twiddles = st->twiddles;
kiss_fft_cpx *tw;
kiss_fft_cpx ya,yb;
ya = twiddles[fstride*m];
yb = twiddles[fstride*2*m];
Fout0=Fout;
Fout1=Fout0+m;
Fout2=Fout0+2*m;
Fout3=Fout0+3*m;
Fout4=Fout0+4*m;
tw=st->twiddles;
for ( u=0; u<m; ++u ) {
C_FIXDIV( *Fout0,5); C_FIXDIV( *Fout1,5); C_FIXDIV( *Fout2,5); C_FIXDIV( *Fout3,5); C_FIXDIV( *Fout4,5);
scratch[0] = *Fout0;
C_MUL(scratch[1] ,*Fout1, tw[u*fstride]);
C_MUL(scratch[2] ,*Fout2, tw[2*u*fstride]);
C_MUL(scratch[3] ,*Fout3, tw[3*u*fstride]);
C_MUL(scratch[4] ,*Fout4, tw[4*u*fstride]);
C_ADD( scratch[7],scratch[1],scratch[4]);
C_SUB( scratch[10],scratch[1],scratch[4]);
C_ADD( scratch[8],scratch[2],scratch[3]);
C_SUB( scratch[9],scratch[2],scratch[3]);
Fout0->r += scratch[7].r + scratch[8].r;
Fout0->i += scratch[7].i + scratch[8].i;
scratch[5].r = scratch[0].r + S_MUL(scratch[7].r,ya.r) + S_MUL(scratch[8].r,yb.r);
scratch[5].i = scratch[0].i + S_MUL(scratch[7].i,ya.r) + S_MUL(scratch[8].i,yb.r);
scratch[6].r = S_MUL(scratch[10].i,ya.i) + S_MUL(scratch[9].i,yb.i);
scratch[6].i = -S_MUL(scratch[10].r,ya.i) - S_MUL(scratch[9].r,yb.i);
C_SUB(*Fout1,scratch[5],scratch[6]);
C_ADD(*Fout4,scratch[5],scratch[6]);
scratch[11].r = scratch[0].r + S_MUL(scratch[7].r,yb.r) + S_MUL(scratch[8].r,ya.r);
scratch[11].i = scratch[0].i + S_MUL(scratch[7].i,yb.r) + S_MUL(scratch[8].i,ya.r);
scratch[12].r = - S_MUL(scratch[10].i,yb.i) + S_MUL(scratch[9].i,ya.i);
scratch[12].i = S_MUL(scratch[10].r,yb.i) - S_MUL(scratch[9].r,ya.i);
C_ADD(*Fout2,scratch[11],scratch[12]);
C_SUB(*Fout3,scratch[11],scratch[12]);
++Fout0;++Fout1;++Fout2;++Fout3;++Fout4;
}
}
/* perform the butterfly for one stage of a mixed radix FFT */
static void kf_bfly_generic(
kiss_fft_cpx * Fout,
const size_t fstride,
const kiss_fft_cfg st,
int m,
int p
)
{
int u,k,q1,q;
kiss_fft_cpx * twiddles = st->twiddles;
kiss_fft_cpx t;
int Norig = st->nfft;
kiss_fft_cpx * scratch = (kiss_fft_cpx*)KISS_FFT_TMP_ALLOC(sizeof(kiss_fft_cpx)*p);
for ( u=0; u<m; ++u ) {
k=u;
for ( q1=0 ; q1<p ; ++q1 ) {
scratch[q1] = Fout[ k ];
C_FIXDIV(scratch[q1],p);
k += m;
}
k=u;
for ( q1=0 ; q1<p ; ++q1 ) {
int twidx=0;
Fout[ k ] = scratch[0];
for (q=1;q<p;++q ) {
twidx += static_cast<int>(fstride) * k;
if (twidx>=Norig) twidx-=Norig;
C_MUL(t,scratch[q] , twiddles[twidx] );
C_ADDTO( Fout[ k ] ,t);
}
k += m;
}
}
KISS_FFT_TMP_FREE(scratch);
}
static
void kf_work(
kiss_fft_cpx * Fout,
const kiss_fft_cpx * f,
const size_t fstride,
int in_stride,
int * factors,
const kiss_fft_cfg st
)
{
kiss_fft_cpx * Fout_beg=Fout;
const int p=*factors++; /* the radix */
const int m=*factors++; /* stage's fft length/p */
const kiss_fft_cpx * Fout_end = Fout + p*m;
#ifdef _OPENMP
// use openmp extensions at the
// top-level (not recursive)
if (fstride==1 && p<=5)
{
int k;
// execute the p different work units in different threads
# pragma omp parallel for
for (k=0;k<p;++k)
kf_work( Fout +k*m, f+ fstride*in_stride*k,fstride*p,in_stride,factors,st);
// all threads have joined by this point
switch (p) {
case 2: kf_bfly2(Fout,fstride,st,m); break;
case 3: kf_bfly3(Fout,fstride,st,m); break;
case 4: kf_bfly4(Fout,fstride,st,m); break;
case 5: kf_bfly5(Fout,fstride,st,m); break;
default: kf_bfly_generic(Fout,fstride,st,m,p); break;
}
return;
}
#endif
if (m==1) {
do{
*Fout = *f;
f += fstride*in_stride;
}while(++Fout != Fout_end );
}else{
do{
// recursive call:
// DFT of size m*p performed by doing
// p instances of smaller DFTs of size m,
// each one takes a decimated version of the input
kf_work( Fout , f, fstride*p, in_stride, factors,st);
f += fstride*in_stride;
}while( (Fout += m) != Fout_end );
}
Fout=Fout_beg;
// recombine the p smaller DFTs
switch (p) {
case 2: kf_bfly2(Fout,fstride,st,m); break;
case 3: kf_bfly3(Fout,fstride,st,m); break;
case 4: kf_bfly4(Fout,fstride,st,m); break;
case 5: kf_bfly5(Fout,fstride,st,m); break;
default: kf_bfly_generic(Fout,fstride,st,m,p); break;
}
}
/* facbuf is populated by p1,m1,p2,m2, ...
where
p[i] * m[i] = m[i-1]
m0 = n */
static
void kf_factor(int n,int * facbuf)
{
int p=4;
double floor_sqrt;
floor_sqrt = floor( sqrt((double)n) );
/*factor out powers of 4, powers of 2, then any remaining primes */
do {
while (n % p) {
switch (p) {
case 4: p = 2; break;
case 2: p = 3; break;
default: p += 2; break;
}
if (p > floor_sqrt)
p = n; /* no more factors, skip to end */
}
n /= p;
*facbuf++ = p;
*facbuf++ = n;
} while (n > 1);
}
/*
*
* User-callable function to allocate all necessary storage space for the fft.
*
* The return value is a contiguous block of memory, allocated with malloc. As such,
* It can be freed with free(), rather than a kiss_fft-specific function.
* */
kiss_fft_cfg kiss_fft_alloc(int nfft,int inverse_fft,void * mem,size_t * lenmem )
{
kiss_fft_cfg st=NULL;
size_t memneeded = sizeof(struct kiss_fft_state)
+ sizeof(kiss_fft_cpx)*(nfft-1); /* twiddle factors*/
if ( lenmem==NULL ) {
st = ( kiss_fft_cfg)malloc( memneeded );
}else{
if (mem != NULL && *lenmem >= memneeded)
st = (kiss_fft_cfg)mem;
*lenmem = memneeded;
}
if (st) {
int i;
st->nfft=nfft;
st->inverse = inverse_fft;
for (i=0;i<nfft;++i) {
const double pi=3.141592653589793238462643383279502884197169399375105820974944;
double phase = -2*pi*i / nfft;
if (st->inverse)
phase *= -1;
kf_cexp(st->twiddles+i, phase );
}
kf_factor(nfft,st->factors);
}
return st;
}
void kiss_fft_stride(kiss_fft_cfg st,const kiss_fft_cpx *fin,kiss_fft_cpx *fout,int in_stride)
{
if (fin == fout) {
//NOTE: this is not really an in-place FFT algorithm.
//It just performs an out-of-place FFT into a temp buffer
kiss_fft_cpx * tmpbuf = (kiss_fft_cpx*)KISS_FFT_TMP_ALLOC( sizeof(kiss_fft_cpx)*st->nfft);
kf_work(tmpbuf,fin,1,in_stride, st->factors,st);
memcpy(fout,tmpbuf,sizeof(kiss_fft_cpx)*st->nfft);
KISS_FFT_TMP_FREE(tmpbuf);
}else{
kf_work( fout, fin, 1,in_stride, st->factors,st );
}
}
void kiss_fft(kiss_fft_cfg cfg,const kiss_fft_cpx *fin,kiss_fft_cpx *fout)
{
kiss_fft_stride(cfg,fin,fout,1);
}
void kiss_fft_cleanup(void)
{
// nothing needed any more
}
int kiss_fft_next_fast_size(int n)
{
while(1) {
int m=n;
while ( (m%2) == 0 ) m/=2;
while ( (m%3) == 0 ) m/=3;
while ( (m%5) == 0 ) m/=5;
if (m<=1)
break; /* n is completely factorable by twos, threes, and fives */
n++;
}
return n;
}

159
3rdparty/freesurround/src/kiss_fftr.cpp vendored Normal file
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@ -0,0 +1,159 @@
/*
Copyright (c) 2003-2004, Mark Borgerding
All rights reserved.
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
* 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.
* Neither the author nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 THE COPYRIGHT OWNER 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.
*/
#include "kiss_fftr.h"
#include "_kiss_fft_guts.h"
struct kiss_fftr_state{
kiss_fft_cfg substate;
kiss_fft_cpx * tmpbuf;
kiss_fft_cpx * super_twiddles;
#ifdef USE_SIMD
void * pad;
#endif
};
kiss_fftr_cfg kiss_fftr_alloc(int nfft,int inverse_fft,void * mem,size_t * lenmem)
{
int i;
kiss_fftr_cfg st = NULL;
size_t subsize = 65536*4, memneeded = 0;
if (nfft & 1) {
fprintf(stderr,"Real FFT optimization must be even.\n");
return NULL;
}
nfft >>= 1;
kiss_fft_alloc (nfft, inverse_fft, NULL, &subsize);
memneeded = sizeof(struct kiss_fftr_state) + subsize + sizeof(kiss_fft_cpx) * ( nfft * 3 / 2);
if (lenmem == NULL) {
st = (kiss_fftr_cfg) new char[memneeded];
} else {
if (*lenmem >= memneeded)
st = (kiss_fftr_cfg) mem;
*lenmem = memneeded;
}
if (!st)
return NULL;
st->substate = (kiss_fft_cfg) (st + 1); /*just beyond kiss_fftr_state struct */
st->tmpbuf = (kiss_fft_cpx *) (((char *) st->substate) + subsize);
st->super_twiddles = st->tmpbuf + nfft;
kiss_fft_alloc(nfft, inverse_fft, st->substate, &subsize);
for (i = 0; i < nfft/2; ++i) {
double phase =
-3.14159265358979323846264338327 * ((double) (i+1) / nfft + .5);
if (inverse_fft)
phase *= -1;
kf_cexp (st->super_twiddles+i,phase);
}
return st;
}
void kiss_fftr(kiss_fftr_cfg st,const kiss_fft_scalar *timedata,kiss_fft_cpx *freqdata)
{
/* input buffer timedata is stored row-wise */
int k,ncfft;
kiss_fft_cpx fpnk,fpk,f1k,f2k,tw,tdc;
if ( st->substate->inverse) {
fprintf(stderr,"kiss fft usage error: improper alloc\n");
exit(1);
}
ncfft = st->substate->nfft;
/*perform the parallel fft of two real signals packed in real,imag*/
kiss_fft( st->substate , (const kiss_fft_cpx*)timedata, st->tmpbuf );
/* The real part of the DC element of the frequency spectrum in st->tmpbuf
* contains the sum of the even-numbered elements of the input time sequence
* The imag part is the sum of the odd-numbered elements
*
* The sum of tdc.r and tdc.i is the sum of the input time sequence.
* yielding DC of input time sequence
* The difference of tdc.r - tdc.i is the sum of the input (dot product) [1,-1,1,-1...
* yielding Nyquist bin of input time sequence
*/
tdc.r = st->tmpbuf[0].r;
tdc.i = st->tmpbuf[0].i;
C_FIXDIV(tdc,2);
CHECK_OVERFLOW_OP(tdc.r ,+, tdc.i);
CHECK_OVERFLOW_OP(tdc.r ,-, tdc.i);
freqdata[0].r = tdc.r + tdc.i;
freqdata[ncfft].r = tdc.r - tdc.i;
#ifdef USE_SIMD
freqdata[ncfft].i = freqdata[0].i = _mm_set1_ps(0);
#else
freqdata[ncfft].i = freqdata[0].i = 0;
#endif
for ( k=1;k <= ncfft/2 ; ++k ) {
fpk = st->tmpbuf[k];
fpnk.r = st->tmpbuf[ncfft-k].r;
fpnk.i = - st->tmpbuf[ncfft-k].i;
C_FIXDIV(fpk,2);
C_FIXDIV(fpnk,2);
C_ADD( f1k, fpk , fpnk );
C_SUB( f2k, fpk , fpnk );
C_MUL( tw , f2k , st->super_twiddles[k-1]);
freqdata[k].r = HALF_OF(f1k.r + tw.r);
freqdata[k].i = HALF_OF(f1k.i + tw.i);
freqdata[ncfft-k].r = HALF_OF(f1k.r - tw.r);
freqdata[ncfft-k].i = HALF_OF(tw.i - f1k.i);
}
}
void kiss_fftri(kiss_fftr_cfg st,const kiss_fft_cpx *freqdata,kiss_fft_scalar *timedata)
{
/* input buffer timedata is stored row-wise */
int k, ncfft;
if (st->substate->inverse == 0) {
fprintf (stderr, "kiss fft usage error: improper alloc\n");
exit (1);
}
ncfft = st->substate->nfft;
st->tmpbuf[0].r = freqdata[0].r + freqdata[ncfft].r;
st->tmpbuf[0].i = freqdata[0].r - freqdata[ncfft].r;
C_FIXDIV(st->tmpbuf[0],2);
for (k = 1; k <= ncfft / 2; ++k) {
kiss_fft_cpx fk, fnkc, fek, fok, tmp;
fk = freqdata[k];
fnkc.r = freqdata[ncfft - k].r;
fnkc.i = -freqdata[ncfft - k].i;
C_FIXDIV( fk , 2 );
C_FIXDIV( fnkc , 2 );
C_ADD (fek, fk, fnkc);
C_SUB (tmp, fk, fnkc);
C_MUL (fok, tmp, st->super_twiddles[k-1]);
C_ADD (st->tmpbuf[k], fek, fok);
C_SUB (st->tmpbuf[ncfft - k], fek, fok);
#ifdef USE_SIMD
st->tmpbuf[ncfft - k].i *= _mm_set1_ps(-1.0);
#else
st->tmpbuf[ncfft - k].i *= -1;
#endif
}
kiss_fft (st->substate, st->tmpbuf, (kiss_fft_cpx *) timedata);
}

View File

@ -49,6 +49,8 @@ Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "zydis", "3rdparty\zydis\zyd
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "demangler", "3rdparty\demangler\demangler.vcxproj", "{1E3D706C-1D95-4E1B-BDF2-CA3D0007DF7F}"
EndProject
Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "freesurround", "3rdparty\freesurround\freesurround.vcxproj", "{1DD0B31F-37F0-4A36-A521-74133ACA4737}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug AVX2|x64 = Debug AVX2|x64
@ -581,6 +583,30 @@ Global
{1E3D706C-1D95-4E1B-BDF2-CA3D0007DF7F}.Release Clang|x64.Build.0 = Release Clang|x64
{1E3D706C-1D95-4E1B-BDF2-CA3D0007DF7F}.Release|x64.ActiveCfg = Release|x64
{1E3D706C-1D95-4E1B-BDF2-CA3D0007DF7F}.Release|x64.Build.0 = Release|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug AVX2|x64.ActiveCfg = Debug AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug AVX2|x64.Build.0 = Debug AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug Clang AVX2|x64.ActiveCfg = Debug Clang AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug Clang AVX2|x64.Build.0 = Debug Clang AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug Clang|x64.ActiveCfg = Debug Clang|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug Clang|x64.Build.0 = Debug Clang|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug|x64.ActiveCfg = Debug|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Debug|x64.Build.0 = Debug|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel AVX2|x64.ActiveCfg = Devel AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel AVX2|x64.Build.0 = Devel AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel Clang AVX2|x64.ActiveCfg = Devel Clang AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel Clang AVX2|x64.Build.0 = Devel Clang AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel Clang|x64.ActiveCfg = Devel Clang|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel Clang|x64.Build.0 = Devel Clang|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel|x64.ActiveCfg = Devel|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Devel|x64.Build.0 = Devel|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release AVX2|x64.ActiveCfg = Release AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release AVX2|x64.Build.0 = Release AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release Clang AVX2|x64.ActiveCfg = Release Clang AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release Clang AVX2|x64.Build.0 = Release Clang AVX2|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release Clang|x64.ActiveCfg = Release Clang|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release Clang|x64.Build.0 = Release Clang|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release|x64.ActiveCfg = Release|x64
{1DD0B31F-37F0-4A36-A521-74133ACA4737}.Release|x64.Build.0 = Release|x64
EndGlobalSection
GlobalSection(SolutionProperties) = preSolution
HideSolutionNode = FALSE
@ -603,6 +629,7 @@ Global
{E960DFDF-1BD3-4C29-B251-D1A0919C9B09} = {78EBE642-7A4D-4EA7-86BE-5639C6646C38}
{67D0160C-0FE4-44B9-AC2E-82BBCF4104DF} = {78EBE642-7A4D-4EA7-86BE-5639C6646C38}
{1E3D706C-1D95-4E1B-BDF2-CA3D0007DF7F} = {78EBE642-7A4D-4EA7-86BE-5639C6646C38}
{1DD0B31F-37F0-4A36-A521-74133ACA4737} = {78EBE642-7A4D-4EA7-86BE-5639C6646C38}
EndGlobalSection
GlobalSection(ExtensibilityGlobals) = postSolution
SolutionGuid = {0BC474EA-3628-45D3-9DBC-E22D0B7E0F77}

View File

@ -604,6 +604,351 @@ OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
</pre>
<h3>FreeSurround - <a href="https://hydrogenaud.io/index.php/topic,52235.0.html">https://hydrogenaud.io/index.php/topic,52235.0.html</a></h3>
<pre>
Copyright (C) 2007-2010 Christian Kothe
GNU GENERAL PUBLIC LICENSE
Version 2, June 1991
Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Everyone is permitted to copy and distribute verbatim copies
of this license document, but changing it is not allowed.
Preamble
The licenses for most software are designed to take away your
freedom to share and change it. By contrast, the GNU General Public
License is intended to guarantee your freedom to share and change free
software--to make sure the software is free for all its users. This
General Public License applies to most of the Free Software
Foundation's software and to any other program whose authors commit to
using it. (Some other Free Software Foundation software is covered by
the GNU Lesser General Public License instead.) You can apply it to
your programs, too.
When we speak of free software, we are referring to freedom, not
price. Our General Public Licenses are designed to make sure that you
have the freedom to distribute copies of free software (and charge for
this service if you wish), that you receive source code or can get it
if you want it, that you can change the software or use pieces of it
in new free programs; and that you know you can do these things.
To protect your rights, we need to make restrictions that forbid
anyone to deny you these rights or to ask you to surrender the rights.
These restrictions translate to certain responsibilities for you if you
distribute copies of the software, or if you modify it.
For example, if you distribute copies of such a program, whether
gratis or for a fee, you must give the recipients all the rights that
you have. You must make sure that they, too, receive or can get the
source code. And you must show them these terms so they know their
rights.
We protect your rights with two steps: (1) copyright the software, and
(2) offer you this license which gives you legal permission to copy,
distribute and/or modify the software.
Also, for each author's protection and ours, we want to make certain
that everyone understands that there is no warranty for this free
software. If the software is modified by someone else and passed on, we
want its recipients to know that what they have is not the original, so
that any problems introduced by others will not reflect on the original
authors' reputations.
Finally, any free program is threatened constantly by software
patents. We wish to avoid the danger that redistributors of a free
program will individually obtain patent licenses, in effect making the
program proprietary. To prevent this, we have made it clear that any
patent must be licensed for everyone's free use or not licensed at all.
The precise terms and conditions for copying, distribution and
modification follow.
GNU GENERAL PUBLIC LICENSE
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
0. This License applies to any program or other work which contains
a notice placed by the copyright holder saying it may be distributed
under the terms of this General Public License. The "Program", below,
refers to any such program or work, and a "work based on the Program"
means either the Program or any derivative work under copyright law:
that is to say, a work containing the Program or a portion of it,
either verbatim or with modifications and/or translated into another
language. (Hereinafter, translation is included without limitation in
the term "modification".) Each licensee is addressed as "you".
Activities other than copying, distribution and modification are not
covered by this License; they are outside its scope. The act of
running the Program is not restricted, and the output from the Program
is covered only if its contents constitute a work based on the
Program (independent of having been made by running the Program).
Whether that is true depends on what the Program does.
1. You may copy and distribute verbatim copies of the Program's
source code as you receive it, in any medium, provided that you
conspicuously and appropriately publish on each copy an appropriate
copyright notice and disclaimer of warranty; keep intact all the
notices that refer to this License and to the absence of any warranty;
and give any other recipients of the Program a copy of this License
along with the Program.
You may charge a fee for the physical act of transferring a copy, and
you may at your option offer warranty protection in exchange for a fee.
2. You may modify your copy or copies of the Program or any portion
of it, thus forming a work based on the Program, and copy and
distribute such modifications or work under the terms of Section 1
above, provided that you also meet all of these conditions:
a) You must cause the modified files to carry prominent notices
stating that you changed the files and the date of any change.
b) You must cause any work that you distribute or publish, that in
whole or in part contains or is derived from the Program or any
part thereof, to be licensed as a whole at no charge to all third
parties under the terms of this License.
c) If the modified program normally reads commands interactively
when run, you must cause it, when started running for such
interactive use in the most ordinary way, to print or display an
announcement including an appropriate copyright notice and a
notice that there is no warranty (or else, saying that you provide
a warranty) and that users may redistribute the program under
these conditions, and telling the user how to view a copy of this
License. (Exception: if the Program itself is interactive but
does not normally print such an announcement, your work based on
the Program is not required to print an announcement.)
These requirements apply to the modified work as a whole. If
identifiable sections of that work are not derived from the Program,
and can be reasonably considered independent and separate works in
themselves, then this License, and its terms, do not apply to those
sections when you distribute them as separate works. But when you
distribute the same sections as part of a whole which is a work based
on the Program, the distribution of the whole must be on the terms of
this License, whose permissions for other licensees extend to the
entire whole, and thus to each and every part regardless of who wrote it.
Thus, it is not the intent of this section to claim rights or contest
your rights to work written entirely by you; rather, the intent is to
exercise the right to control the distribution of derivative or
collective works based on the Program.
In addition, mere aggregation of another work not based on the Program
with the Program (or with a work based on the Program) on a volume of
a storage or distribution medium does not bring the other work under
the scope of this License.
3. You may copy and distribute the Program (or a work based on it,
under Section 2) in object code or executable form under the terms of
Sections 1 and 2 above provided that you also do one of the following:
a) Accompany it with the complete corresponding machine-readable
source code, which must be distributed under the terms of Sections
1 and 2 above on a medium customarily used for software interchange; or,
b) Accompany it with a written offer, valid for at least three
years, to give any third party, for a charge no more than your
cost of physically performing source distribution, a complete
machine-readable copy of the corresponding source code, to be
distributed under the terms of Sections 1 and 2 above on a medium
customarily used for software interchange; or,
c) Accompany it with the information you received as to the offer
to distribute corresponding source code. (This alternative is
allowed only for noncommercial distribution and only if you
received the program in object code or executable form with such
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The source code for a work means the preferred form of the work for
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access to copy from a designated place, then offering equivalent
access to copy the source code from the same place counts as
distribution of the source code, even though third parties are not
compelled to copy the source along with the object code.
4. You may not copy, modify, sublicense, or distribute the Program
except as expressly provided under this License. Any attempt
otherwise to copy, modify, sublicense or distribute the Program is
void, and will automatically terminate your rights under this License.
However, parties who have received copies, or rights, from you under
this License will not have their licenses terminated so long as such
parties remain in full compliance.
5. You are not required to accept this License, since you have not
signed it. However, nothing else grants you permission to modify or
distribute the Program or its derivative works. These actions are
prohibited by law if you do not accept this License. Therefore, by
modifying or distributing the Program (or any work based on the
Program), you indicate your acceptance of this License to do so, and
all its terms and conditions for copying, distributing or modifying
the Program or works based on it.
6. Each time you redistribute the Program (or any work based on the
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original licensor to copy, distribute or modify the Program subject to
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You are not responsible for enforcing compliance by third parties to
this License.
7. If, as a consequence of a court judgment or allegation of patent
infringement or for any other reason (not limited to patent issues),
conditions are imposed on you (whether by court order, agreement or
otherwise) that contradict the conditions of this License, they do not
excuse you from the conditions of this License. If you cannot
distribute so as to satisfy simultaneously your obligations under this
License and any other pertinent obligations, then as a consequence you
may not distribute the Program at all. For example, if a patent
license would not permit royalty-free redistribution of the Program by
all those who receive copies directly or indirectly through you, then
the only way you could satisfy both it and this License would be to
refrain entirely from distribution of the Program.
If any portion of this section is held invalid or unenforceable under
any particular circumstance, the balance of the section is intended to
apply and the section as a whole is intended to apply in other
circumstances.
It is not the purpose of this section to induce you to infringe any
patents or other property right claims or to contest validity of any
such claims; this section has the sole purpose of protecting the
integrity of the free software distribution system, which is
implemented by public license practices. Many people have made
generous contributions to the wide range of software distributed
through that system in reliance on consistent application of that
system; it is up to the author/donor to decide if he or she is willing
to distribute software through any other system and a licensee cannot
impose that choice.
This section is intended to make thoroughly clear what is believed to
be a consequence of the rest of this License.
8. If the distribution and/or use of the Program is restricted in
certain countries either by patents or by copyrighted interfaces, the
original copyright holder who places the Program under this License
may add an explicit geographical distribution limitation excluding
those countries, so that distribution is permitted only in or among
countries not thus excluded. In such case, this License incorporates
the limitation as if written in the body of this License.
9. The Free Software Foundation may publish revised and/or new versions
of the General Public License from time to time. Such new versions will
be similar in spirit to the present version, but may differ in detail to
address new problems or concerns.
Each version is given a distinguishing version number. If the Program
specifies a version number of this License which applies to it and "any
later version", you have the option of following the terms and conditions
either of that version or of any later version published by the Free
Software Foundation. If the Program does not specify a version number of
this License, you may choose any version ever published by the Free Software
Foundation.
10. If you wish to incorporate parts of the Program into other free
programs whose distribution conditions are different, write to the author
to ask for permission. For software which is copyrighted by the Free
Software Foundation, write to the Free Software Foundation; we sometimes
make exceptions for this. Our decision will be guided by the two goals
of preserving the free status of all derivatives of our free software and
of promoting the sharing and reuse of software generally.
NO WARRANTY
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
REPAIR OR CORRECTION.
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
POSSIBILITY OF SUCH DAMAGES.
END OF TERMS AND CONDITIONS
How to Apply These Terms to Your New Programs
If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.
To do so, attach the following notices to the program. It is safest
to attach them to the start of each source file to most effectively
convey the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.
<one line to give the program's name and a brief idea of what it does.>
Copyright (C) <year> <name of author>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License along
with this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
Also add information on how to contact you by electronic and paper mail.
If the program is interactive, make it output a short notice like this
when it starts in an interactive mode:
Gnomovision version 69, Copyright (C) year name of author
Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
This is free software, and you are welcome to redistribute it
under certain conditions; type `show c' for details.
The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, the commands you use may
be called something other than `show w' and `show c'; they could even be
mouse-clicks or menu items--whatever suits your program.
You should also get your employer (if you work as a programmer) or your
school, if any, to sign a "copyright disclaimer" for the program, if
necessary. Here is a sample; alter the names:
Yoyodyne, Inc., hereby disclaims all copyright interest in the program
`Gnomovision' (which makes passes at compilers) written by James Hacker.
<signature of Ty Coon>, 1 April 1989
Ty Coon, President of Vice
This General Public License does not permit incorporating your program into
proprietary programs. If your program is a subroutine library, you may
consider it more useful to permit linking proprietary applications with the
library. If this is what you want to do, use the GNU Lesser General
Public License instead of this License.
</pre>
<h3>FreeType - <a href="https://freetype.org/index.html">https://freetype.org/index.html</a></h3>
<pre>
The FreeType Project LICENSE
@ -820,6 +1165,36 @@ ON AN "AS IS" BASIS, AND THE COPYRIGHT HOLDER HAS NO OBLIGATION TO
PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
</pre>
<h3>kissfft - <a href="https://github.com/mborgerding/kissfft">https://github.com/mborgerding/kissfft</a></h3>
<pre>
Copyright (c) 2003-2010 Mark Borgerding . All rights reserved.
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.
3. Neither the name of the copyright holder nor the names of its contributors
may be used to endorse or promote products derived from this software without
specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 THE COPYRIGHT HOLDER 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.
</pre>
<h3>libchdr - <a href="https://github.com/rtissera/libchdr">https://github.com/rtissera/libchdr</a></h3>
<pre>Copyright Romain Tisserand
All rights reserved.

View File

@ -109,6 +109,7 @@ add_subdirectory(3rdparty/libzip EXCLUDE_FROM_ALL)
add_subdirectory(3rdparty/rcheevos EXCLUDE_FROM_ALL)
add_subdirectory(3rdparty/rapidjson EXCLUDE_FROM_ALL)
add_subdirectory(3rdparty/discord-rpc EXCLUDE_FROM_ALL)
add_subdirectory(3rdparty/freesurround EXCLUDE_FROM_ALL)
if(USE_OPENGL)
add_subdirectory(3rdparty/glad EXCLUDE_FROM_ALL)