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       scales.h (2722B)
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            1 /********************************************************************
            2  *                                                                  *
            3  * THIS FILE IS PART OF THE OggVorbis SOFTWARE CODEC SOURCE CODE.   *
            4  * USE, DISTRIBUTION AND REPRODUCTION OF THIS LIBRARY SOURCE IS     *
            5  * GOVERNED BY A BSD-STYLE SOURCE LICENSE INCLUDED WITH THIS SOURCE *
            6  * IN 'COPYING'. PLEASE READ THESE TERMS BEFORE DISTRIBUTING.       *
            7  *                                                                  *
            8  * THE OggVorbis SOURCE CODE IS (C) COPYRIGHT 1994-2002             *
            9  * by the XIPHOPHORUS Company http://www.xiph.org/                  *
           10  *                                                                  *
           11  ********************************************************************
           12 
           13  function: linear scale -> dB, Bark and Mel scales
           14  last mod: $Id: scales.h 1919 2005-07-24 14:18:04Z baford $
           15 
           16  ********************************************************************/
           17 
           18 #ifndef _V_SCALES_H_
           19 #define _V_SCALES_H_
           20 
           21 #include <math.h>
           22 #include "os.h"
           23 
           24 /* 20log10(x) */
           25 #define VORBIS_IEEE_FLOAT32 1
           26 #ifdef VORBIS_IEEE_FLOAT32
           27 
           28 static float unitnorm(float x){
           29   ogg_uint32_t *ix=(ogg_uint32_t *)&x;
           30   *ix=(*ix&0x80000000UL)|(0x3f800000UL);
           31   return(x);
           32 }
           33 
           34 static float FABS(float *x){
           35   ogg_uint32_t *ix=(ogg_uint32_t *)x;
           36   *ix&=0x7fffffffUL;
           37   return(*x);
           38 }
           39 
           40 static float todB(const float *x){
           41   float calc;
           42   ogg_int32_t *i=(ogg_int32_t *)x;
           43   calc = ((*i) & 0x7fffffff);
           44   calc *= 7.1771144e-7f;
           45   calc += -764.27118f;
           46   return calc;
           47 }
           48 
           49 #define todB_nn(x) todB(x)
           50 
           51 #else
           52 
           53 static float unitnorm(float x){
           54   if(x<0)return(-1.f);
           55   return(1.f);
           56 }
           57 
           58 #define FABS(x) fabs(*(x))
           59 
           60 #define todB(x)   (*(x)==0?-400.f:log(*(x)**(x))*4.34294480f)
           61 #define todB_nn(x)   (*(x)==0.f?-400.f:log(*(x))*8.6858896f)
           62 
           63 #endif 
           64 
           65 #define fromdB(x) (exp((x)*.11512925f))  
           66 
           67 /* The bark scale equations are approximations, since the original
           68    table was somewhat hand rolled.  The below are chosen to have the
           69    best possible fit to the rolled tables, thus their somewhat odd
           70    appearance (these are more accurate and over a longer range than
           71    the oft-quoted bark equations found in the texts I have).  The
           72    approximations are valid from 0 - 30kHz (nyquist) or so.
           73 
           74    all f in Hz, z in Bark */
           75 
           76 #define toBARK(n)   (13.1f*atan(.00074f*(n))+2.24f*atan((n)*(n)*1.85e-8f)+1e-4f*(n))
           77 #define fromBARK(z) (102.f*(z)-2.f*pow(z,2.f)+.4f*pow(z,3.f)+pow(1.46f,z)-1.f)
           78 #define toMEL(n)    (log(1.f+(n)*.001f)*1442.695f)
           79 #define fromMEL(m)  (1000.f*exp((m)/1442.695f)-1000.f)
           80 
           81 /* Frequency to octave.  We arbitrarily declare 63.5 Hz to be octave
           82    0.0 */
           83 
           84 #define toOC(n)     (log(n)*1.442695f-5.965784f)
           85 #define fromOC(o)   (exp(((o)+5.965784f)*.693147f))
           86 
           87 #endif
           88