File: Loudness.cpp

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/*
    SuperCollider real time audio synthesis system
 Copyright (c) 2002 James McCartney. All rights reserved.
    http://www.audiosynth.com

 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
 */

// Nick Collins 8 Nov 2007
// loudness model


#include "ML.h"

// perhaps need to have sampling rate choice here: but then, double rate, double fft size, only use bottom 1024 again as
// useful spectrum in human hearing range! So should just work?
int eqlbandbins[43] = { 1,   2,   3,   4,   5,   6,   7,   8,   9,   11,  13,  15,  17,  19,  22,
                        25,  28,  32,  36,  41,  46,  52,  58,  65,  73,  82,  92,  103, 116, 129,
                        144, 161, 180, 201, 225, 251, 280, 312, 348, 388, 433, 483, 513 };
int eqlbandsizes[42] = { 1, 1, 1, 1, 1,  1,  1,  1,  2,  2,  2,  2,  2,  3,  3,  3,  4,  4,  5,  5,  6,
                         6, 7, 8, 9, 10, 11, 13, 13, 15, 17, 19, 21, 24, 26, 29, 32, 36, 40, 45, 50, 29 }; // was 30

float contours[42][11] = { { 47.88, 59.68, 68.55, 75.48, 81.71, 87.54, 93.24, 98.84, 104.44, 109.94, 115.31 },
                           { 29.04, 41.78, 51.98, 60.18, 67.51, 74.54, 81.34, 87.97, 94.61, 101.21, 107.74 },
                           { 20.72, 32.83, 43.44, 52.18, 60.24, 67.89, 75.34, 82.70, 89.97, 97.23, 104.49 },
                           { 15.87, 27.14, 37.84, 46.94, 55.44, 63.57, 71.51, 79.34, 87.14, 94.97, 102.37 },
                           { 12.64, 23.24, 33.91, 43.27, 52.07, 60.57, 68.87, 77.10, 85.24, 93.44, 100.90 },
                           { 10.31, 20.43, 31.03, 40.54, 49.59, 58.33, 66.89, 75.43, 83.89, 92.34, 100.80 },
                           { 8.51, 18.23, 28.83, 38.41, 47.65, 56.59, 65.42, 74.16, 82.89, 91.61, 100.33 },
                           { 7.14, 16.55, 27.11, 36.79, 46.16, 55.27, 64.29, 73.24, 82.15, 91.06, 99.97 },
                           { 5.52, 14.58, 25.07, 34.88, 44.40, 53.73, 62.95, 72.18, 81.31, 90.44, 99.57 },
                           { 3.98, 12.69, 23.10, 32.99, 42.69, 52.27, 61.66, 71.15, 80.54, 89.93, 99.31 },
                           { 2.99, 11.43, 21.76, 31.73, 41.49, 51.22, 60.88, 70.51, 80.11, 89.70, 99.30 },
                           { 2.35, 10.58, 20.83, 30.86, 40.68, 50.51, 60.33, 70.08, 79.83, 89.58, 99.32 },
                           { 2.05, 10.12, 20.27, 30.35, 40.22, 50.10, 59.97, 69.82, 79.67, 89.52, 99.38 },
                           { 2.00, 9.93, 20.00, 30.07, 40.00, 49.93, 59.87, 69.80, 79.73, 89.67, 99.60 },
                           { 2.19, 10.00, 20.00, 30.00, 40.00, 50.00, 59.99, 69.99, 79.98, 89.98, 99.97 },
                           { 2.71, 10.56, 20.61, 30.71, 40.76, 50.81, 60.86, 70.96, 81.01, 91.06, 101.17 },
                           { 3.11, 11.05, 21.19, 31.41, 41.53, 51.64, 61.75, 71.95, 82.05, 92.15, 102.33 },
                           { 2.39, 10.69, 21.14, 31.52, 41.73, 51.95, 62.11, 72.31, 82.46, 92.56, 102.59 },
                           { 1.50, 10.11, 20.82, 31.32, 41.62, 51.92, 62.12, 72.32, 82.52, 92.63, 102.56 },
                           { -0.17, 8.50, 19.27, 29.77, 40.07, 50.37, 60.57, 70.77, 80.97, 91.13, 101.23 },
                           { -1.80, 6.96, 17.77, 28.29, 38.61, 48.91, 59.13, 69.33, 79.53, 89.71, 99.86 },
                           { -3.42, 5.49, 16.36, 26.94, 37.31, 47.61, 57.88, 68.08, 78.28, 88.41, 98.39 },
                           { -4.73, 4.38, 15.34, 25.99, 36.39, 46.71, 57.01, 67.21, 77.41, 87.51, 97.41 },
                           { -5.73, 3.63, 14.74, 25.48, 35.88, 46.26, 56.56, 66.76, 76.96, 87.06, 96.96 },
                           { -6.24, 3.33, 14.59, 25.39, 35.84, 46.22, 56.52, 66.72, 76.92, 87.04, 97.00 },
                           { -6.09, 3.62, 15.03, 25.83, 36.37, 46.70, 57.00, 67.20, 77.40, 87.57, 97.68 },
                           { -5.32, 4.44, 15.90, 26.70, 37.28, 47.60, 57.90, 68.10, 78.30, 88.52, 98.78 },
                           { -3.49, 6.17, 17.52, 28.32, 38.85, 49.22, 59.52, 69.72, 79.92, 90.20, 100.61 },
                           { -0.81, 8.58, 19.73, 30.44, 40.90, 51.24, 61.52, 71.69, 81.87, 92.15, 102.63 },
                           { 2.91, 11.82, 22.64, 33.17, 43.53, 53.73, 63.96, 74.09, 84.22, 94.45, 104.89 },
                           { 6.68, 15.19, 25.71, 36.03, 46.25, 56.31, 66.45, 76.49, 86.54, 96.72, 107.15 },
                           { 10.43, 18.65, 28.94, 39.02, 49.01, 58.98, 68.93, 78.78, 88.69, 98.83, 109.36 },
                           { 13.56, 21.65, 31.78, 41.68, 51.45, 61.31, 71.07, 80.73, 90.48, 100.51, 111.01 },
                           { 14.36, 22.91, 33.19, 43.09, 52.71, 62.37, 71.92, 81.38, 90.88, 100.56, 110.56 },
                           { 15.06, 23.90, 34.23, 44.05, 53.48, 62.90, 72.21, 81.43, 90.65, 99.93, 109.34 },
                           { 15.36, 23.90, 33.89, 43.31, 52.40, 61.42, 70.29, 79.18, 88.00, 96.69, 105.17 },
                           { 15.60, 23.90, 33.60, 42.70, 51.50, 60.20, 68.70, 77.30, 85.80, 94.00, 101.70 },
                           { 15.60, 23.90, 33.60, 42.70, 51.50, 60.20, 68.70, 77.30, 85.80, 94.00, 101.70 },
                           { 15.60, 23.90, 33.60, 42.70, 51.50, 60.20, 68.70, 77.30, 85.80, 94.00, 101.70 },
                           { 15.60, 23.90, 33.60, 42.70, 51.50, 60.20, 68.70, 77.30, 85.80, 94.00, 101.70 },
                           { 15.60, 23.90, 33.60, 42.70, 51.50, 60.20, 68.70, 77.30, 85.80, 94.00, 101.70 },
                           { 15.60, 23.90, 33.60, 42.70, 51.50, 60.20, 68.70, 77.30, 85.80, 94.00, 101.70 } };
double phons[11] = { 2, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 };


// other functions
static void Loudness_dofft(Loudness*, uint32);

void Loudness_Ctor(Loudness* unit) {
    // may want to check sampling rate here!

    unit->m_numbands = 42;

    unit->m_ERBbands = (float*)RTAlloc(unit->mWorld, unit->m_numbands * sizeof(float));
    ClearUnitIfMemFailed(unit->m_ERBbands);

    Clear(unit->m_numbands, unit->m_ERBbands);

    unit->m_sones = 0;
    // unit->m_phontotal=0;

    unit->mCalcFunc = (UnitCalcFunc)&Loudness_next;
    Loudness_next(unit, 1);
}

void Loudness_Dtor(Loudness* unit) { RTFree(unit->mWorld, unit->m_ERBbands); }

void Loudness_next(Loudness* unit, int wrongNumSamples) {
    float fbufnum = ZIN0(0);

    // next FFT bufffer ready, update
    // assuming at this point that buffer precalculated for any resampling
    if (fbufnum > -0.01f)
        Loudness_dofft(unit, (uint32)fbufnum);

    // always output sones
    // float outval= unit->m_sones;

    // printf("sones %f phontotal %f \n",outval, unit->m_phontotal);

    // control rate output
    ZOUT0(0) = unit->m_sones;
}

// temporal masking over ERB bands: peaks take a while to decay
// spectral masking over which bins summed as contributors for ERB bands; spreading activation function actually implies
// that the overall power is greater from spread? masking not triangular but slanted towards masking higher frequency
// content (ie, lower freq bins mask upper)

// for true MP3 style compression would have to see if each FFT bin was noise like or sine like (transient measure on
// instantaneous frequency for example), and use the appropriate masking curve efficiency is preferred here

// thus can calculate squared powers as you go? cheapest if only have effect of spectral masking above, covering a fixed
// number of bins? but then, frequency biased loudness based on ERB band centre frequency!

// calculation function once FFT data ready
void Loudness_dofft(Loudness* unit, uint32 ibufnum) {
    World* world = unit->mWorld;
    // if (ibufnum >= world->mNumSndBufs) ibufnum = 0;
    SndBuf* buf; // = world->mSndBufs + ibufnum;
    // int numbins = buf->samples - 2 >> 1;
    // support LocalBuf

    if (ibufnum >= world->mNumSndBufs) {
        int localBufNum = ibufnum - world->mNumSndBufs;
        Graph* parent = unit->mParent;
        if (localBufNum <= parent->localBufNum) {
            buf = parent->mLocalSndBufs + localBufNum;
        } else {
            buf = world->mSndBufs;
        }
    } else {
        buf = world->mSndBufs + ibufnum;
    }
    LOCK_SNDBUF(buf);

    float* data = buf->data;

    float loudsum = 0.0;

    float smask = ZIN0(1);
    float tmask = ZIN0(2);

    for (int k = 0; k < unit->m_numbands; ++k) {
        int bandstart = eqlbandbins[k];
        // int bandend=eqlbandbins[k+1];
        int bandsize = eqlbandsizes[k];
        int bandend = bandstart + bandsize;

        float bsum = 0.0;
        float real, imag, power;
        int index;
        float lastpower = 0.0;

        for (int h = bandstart; h < bandend; ++h) {
            index = 2 * h;
            real = data[index];
            imag = data[index + 1];

            power = (real * real) + (imag * imag);


            // would involve spectral masking here
            power = sc_max(lastpower * smask, power); // sideways spectral masking with leaky integration
            lastpower = power;

            // psychophysical sensation; within critical band, sum using a p metric, (sum m^p)^(1/p)
            // compresses the gain

            // power of three combination
            // bsum= bsum+(power*power*power);

            // won't sum up power very well
            // if(power>bsum) bsum=power;

            bsum = bsum + power;
        }

        // store recips of bandsizes?
        // why average? surely just take max or sum is better!
        // bsum= bsum/bandsize;

        // into dB, avoid log of 0
        // float db= 10*log10((bsum*10000000)+0.001);
        // float db= 10*log10((bsum*32382)+0.001);
        // empricially derived 32382*2.348

        float db = 10 * log10((bsum * 76032.936f) + 0.001f); // correct multipler until you get loudness output of 1!

        // correcting for power of three combination
        // bsum=bsum+0.001;
        // 4.8810017610244 = log10(76032.936)
        // float db= 10*((0.33334*log10(bsum)) + 4.8810017610244); //correct multipler until you get loudness output of
        // 1!


        // printf("bsum %f db %f \n",bsum,db);

        // convert via contour
        if (db < contours[k][0])
            db = 0;
        else if (db > contours[k][10])
            db = phons[10];
        else {
            float prop = 0.0;
            int j;
            for (j = 1; j < 11; ++j) {
                if (db < contours[k][j]) {
                    prop = (db - contours[k][j - 1]) / (contours[k][j] - contours[k][j - 1]);
                    break;
                }

                if (j == 10) {
                    prop = 1.0;
                    break; // avoid j becoming 11 to avoid out-of-bounds access in db calculation
                }
            }


            db = (1.f - prop) * phons[j - 1] + prop * phons[j];
            // printf("prop %f db %f j %d\n",prop,db,j);
        }

        // spectralmasking, 6dB drop per frame?
        // try also with just take db
        unit->m_ERBbands[k] = sc_max(db, (unit->m_ERBbands[k]) - tmask);

        // printf("db %f erbband %f \n",db, unit->m_ERBbands[k]);

        // must sum as intensities, not dbs once corrected, pow used to be other way around
        // loudsum+= ((pow(10, 0.1*unit->m_ERBbands[k])-0.001)*0.0000308813538386); //

        loudsum += ((pow(10, 0.1 * unit->m_ERBbands[k])
                     - 0.001)); // multiplier not needed since invert below; can trust no overflow?
    }

    // total excitation, correct back to dB scale in phons
    // float phontotal= 10*log10((loudsum*32382)+0.001);
    float phontotal = 10 * log10((loudsum) + 0.001); // didn't use divisor above, so no need to restore here

    // unit->m_phontotal= phontotal;
    // now to sones:
    /* from Praat: Excitation.c  Sones = 2 ** ((Phones - 40) / 10)  */
    unit->m_sones = pow(2.f, (phontotal - 40) / 10);

    // printf("phontotal %f sones %f \n",phontotal, unit->m_sones);

    // about 5 times per second
    // if((unit->m_triggerid) && ((unit->m_frame%2==0))) SendTrigger(&unit->mParent->mNode, unit->m_triggerid, bestkey);
}