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+%{
+** Copyright (C) 2021 The Qt Company Ltd.
+** SPDX-License-Identifier: LicenseRef-Qt-Commercial OR GPL-3.0-only WITH Qt-GPL-exception-1.0
+%}
+
+% Create mapping matrixes to convert ambisonic to different speaker layouts supported in Qt Multimedia
+%
+% This uses the ADT octave framework from https://bitbucket.org/ambidecodertoolbox/adt/src/master/
+% to generate conversion matrixes between ambisonic formats and various speaker configurations
+%
+% We're generating two band conversion matrices with a cutoff frequency of 380 Herz. Filtering low
+% and high frequencies differently is important to get a decent spatial reproduction. For details
+% see the "Is my decoder Ambisonic?" paper (https://ambisonics.dreamhosters.com/BLaH3.pdf)
+%
+function adt_generate_qt()
+ % assume speakers are 2 meters from listener. This should avoid near-field
+ % effects and should work for most room setups
+ radius = 2;
+
+ [outfile,msg] = fopen("qambisonicdecoderdata_p.h",'w');
+ fprintf(outfile, "// Copyright (C) 2016 The Qt Company Ltd.\n");
+ fprintf(outfile, "//SPDX-License-Identifier: LicenseRef-Qt-Commercial OR LGPL-3.0-only OR GPL-2.0-only OR GPL-3.0-only\n");
+ fprintf(outfile, "#ifndef QAMBISONICDECODERDATA_P_H\n");
+ fprintf(outfile, "#define QAMBISONICDECODERDATA_P_H\n\n");
+ fprintf(outfile, "#include <qtspatialaudioglobal_p.h>\n\n");
+ fprintf(outfile, "// W A R N I N G\n");
+ fprintf(outfile, "// -------------\n");
+ fprintf(outfile, "//\n");
+ fprintf(outfile, "// This file is not part of the Qt API. It exists purely as an\n");
+ fprintf(outfile, "// implementation detail. This header file may change from version to\n");
+ fprintf(outfile, "// version without notice, or even be removed.\n");
+ fprintf(outfile, "//\n");
+ fprintf(outfile, "// We mean it.\n");
+ fprintf(outfile, "//\n\n");
+ fprintf(outfile, "// This file is generated by the matlab/octave file adt_generate_qt.m\n");
+ fprintf(outfile, "// using the Ambisonic Decoder Toolbox (https://bitbucket.org/ambidecodertoolbox/adt/src/master/)\n");
+ fprintf(outfile, "\n\n");
+ fprintf(outfile, "QT_BEGIN_NAMESPACE\n\n");
+
+ % cover top/bottom for surround
+ imag_speakers = [0,0,radius; 0,0,-radius];
+
+ % https://www.dolby.com/us/en/guide/surround-sound-speaker-setup/5-1-setup.html
+ % Dolby 5.1 -- F: 22-30, S: 110-120, C in same plane as F
+ S = ambi_spkr_array(...
+ '5dot0', ...
+ 'AER', 'DDM', ...
+ 'L', [ 30, 0, radius], ...
+ 'R', [ -30, 0, radius], ...
+ 'C', [ 0, 0, radius], ...
+ 'Ls', [ 110, 0, radius], ...
+ 'Rs', [-110, 0, radius] ...
+ );
+ createDecoders(S, imag_speakers, outfile);
+
+ S.lfeRow = 4;
+ S.name = "5dot1";
+ createDecoders(S, imag_speakers, outfile);
+
+ % https://www.dolby.com/us/en/guide/surround-sound-speaker-setup/7-1-setup.html
+ % Dolby 7.1 F: 22-30, S: 90-110, B: 135-150
+ S = ambi_spkr_array(...
+ ... % array name
+ '7dot0', ...
+ ... % coordinate codes, unit codes
+ ... % Azimuth, Elevation, Radius; Degrees, Degrees, Meters
+ 'AER', 'DDM', ...
+ ... % speaker name, [azimuth, elevation, radius]
+ 'L', [ 30, 0, radius], ...
+ 'R', [ -30, 0, radius], ...
+ 'C', [ 0, 0, radius], ...
+ 'Ls', [ 90, 0, radius], ...
+ 'Rs', [ -90, 0, radius], ...
+ 'Lb', [ 150, 0, radius], ...
+ 'Rb', [-150, 0, radius] ...
+ );
+ createDecoders(S, imag_speakers, outfile);
+
+ S.lfeRow = 4;
+ S.name = "7dot1";
+ createDecoders(S, imag_speakers, outfile);
+
+ fprintf(outfile, "QT_END_NAMESPACE\n\n");
+ fprintf(outfile, "#endif\n\n");
+ fclose(outfile);
+end
+
+% remove rounding errors
+function m = trimMatrix(m)
+ for i = 1:rows(m)
+ for j = 1:columns(m)
+ if (abs(m(i, j)) < 1e-4)
+ m(i, j) = 0;
+ endif
+ endfor
+ endfor
+end
+
+function writeLFERow(outfile, m, suffix)
+ if (strcmp(suffix, 'hf'))
+ fprintf(outfile, "0.0f, "); % no need for High frequency data on the LFE channel
+ else
+ fprintf(outfile, "0.5f, ");
+ endif
+ for i = 2:columns(m)
+ fprintf(outfile, "0.0f, ");
+ endfor
+ fprintf(outfile, "// LFE\n");
+end
+
+function [n, m] = getnm(l)
+% Computes spherical harmonic degree and order from Ambisonic Channel Number.
+ n = floor(sqrt(l));
+ m = l-n.^2-n;
+end
+
+function channels = normalizeSN3D(channels)
+ for i = 1:columns(channels)
+ [n, m] = getnm(i-1);
+ if (m == 0)
+ factor = 1;
+ else
+ factor = sqrt(2 * factorial(n - abs(m)) / (factorial(n + abs(m))));
+ endif
+ % There's an adjustment factor of 1.5 here, to match the volumes generated by the matrices
+ % here with what we get from a simple stereo decoding. The factor is heuristically determined
+ channels(i) *= factor*1.5;
+ endfor
+end
+
+function writeMatrix(outfile, level, S, M, suffix)
+ m = trimMatrix(M);
+ hasLFE = isfield(S, "lfeRow");
+ r = rows(m);
+ c = columns(m);
+ if (hasLFE)
+ r = r + 1;
+ endif
+ fprintf(outfile, "// Decoder matrix for %s, ambisonic level %d\n", S.name, level);
+ fprintf(outfile, "static constexpr float decoderMatrix_%s_%d_%s[%d*%d] = {\n", S.name, level, suffix, r, c);
+ for i = 1:rows(S.id)
+ channels = normalizeSN3D(m(i, :))
+ fprintf(outfile, "%ff, ", channels);
+ fprintf(outfile, "// %s\n", S.id(i, 1){1});
+ if (hasLFE && S.lfeRow == i + 1)
+ writeLFERow(outfile, m, suffix);
+ endif
+ endfor
+ fprintf(outfile, "};\n\n");
+end
+
+function createOneDecoder(S, imag_speakers, outfile, level)
+ ambi_order = ambi_channel_definitions_convention(level, 'ambix2011')
+ [D,S,M,C] = ambi_run_allrad(S, ambi_order, imag_speakers, [S.name '_' int2str(level)], false, "amb", 1, 3);
+ writeMatrix(outfile, level, S, M.lf, "lf");
+ m = ambi_apply_gamma(M.hf, D.hf_gains, C);
+ writeMatrix(outfile, level, S, m, "hf");
+end
+
+function createDecoders(S, imag_speakers, outfile)
+ for level = [1:3]
+ createOneDecoder(S, imag_speakers, outfile, level)
+ endfor
+end
+