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* TwoLAME: an optimized MPEG Audio Layer Two encoder
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* Copyright (C) 2001-2004 Michael Cheng
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* Copyright (C) 2004-2005 The TwoLAME Project
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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FLOAT ath_db(FLOAT f, FLOAT value)
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/* from Painter & Spanias
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modified by Gabriel Bouvigne to better fit the reality
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ath = 3.640 * pow(f,-0.8)
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- 6.800 * exp(-0.6*pow(f-3.4,2.0))
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+ 6.000 * exp(-0.15*pow(f-8.7,2.0))
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+ 0.6* 0.001 * pow(f,4.0);
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In the past LAME was using the Painter &Spanias formula.
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But we had some recurrent problems with HF content.
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We measured real ATH values, and found the older formula
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to be inacurate in the higher part. So we made this new
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formula and this solved most of HF problematic testcases.
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The tradeoff is that in VBR mode it increases a lot the
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/*this curve can be udjusted according to the VBR scale:
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it adjusts from something close to Painter & Spanias
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on V9 up to Bouvigne's formula for V0. This way the VBR
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bitrate is more balanced according to the -V value.*/
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f /= 1000; // convert to khz
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ath = 3.640 * pow(f,-0.8)
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- 6.800 * exp(-0.6*pow(f-3.4,2.0))
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+ 6.000 * exp(-0.15*pow(f-8.7,2.0))
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+ (0.6+0.04*valueold)* 0.001 * pow(f,4.0);
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I've changed the fudge technique on the code.
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The "-l [float]" value raises/lowers the ATH by this many dB */
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/* Convert ATH values from dB into energy values as required by the psycho model */
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FLOAT ath_energy(FLOAT freq, FLOAT value) {
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db = ath_db(freq, 0) + value; // Originally: ath_db(freq,value)
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/* The values in the standard, and from the ATH formula are in dB.
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In the psycho model we are working in the energy domain. Hence the values that
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are in the absthr_X tables are not in dB. This function converts from dB into the energy domain.
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As noted on the LAME mailing list from years ago (MFC FIX find the reference), the
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absolute threhsold of hearing values in the tables in the standard are dodgy - the
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ATH in the tables do not correspond to any previously known values of the ATH.
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From ISO 11172 Tables D.4.x
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"A value of 0dB represents a level in the absolute threshold calculation of
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96dB below the energy of a sine wave of amplitude 32760."
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But I still don't know why the factor of 41.837375 is the value that it is. MFC Feb 2003 */
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return(pow(10.0, (db+41.837375)*0.1));
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/* Convert a frequency (in Hz) to a bark value
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Taken from LAME. MFC Feb 2003
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see for example "Zwicker: Psychoakustik, 1982; ISBN 3-540-11401-7 */
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FLOAT ath_freq2bark(FLOAT freq)
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return 13.0*atan(.76*freq) + 3.5*atan(freq*freq/(7.5*7.5));