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 1994-2009             *
9  * by the Xiph.Org Foundation http://www.xiph.org/                  *
10  *                                                                  *
11  ********************************************************************
12 
13   function: lookup based functions
14   last mod: $Id: lookup.c 16227 2009-07-08 06:58:46Z xiphmont $
15 
16  ********************************************************************/
17 
18 #include <math.h>
19 #include "lookup.h"
20 #include "lookup_data.h"
21 #include "os.h"
22 #include "misc.h"
23 
24 #ifdef FLOAT_LOOKUP
25 
26 /* interpolated lookup based cos function, domain 0 to PI only */
vorbis_coslook(float a)27 float vorbis_coslook(float a){
28   double d=a*(.31830989*(float)COS_LOOKUP_SZ);
29   int i=vorbis_ftoi(d-.5);
30 
31   return COS_LOOKUP[i]+ (d-i)*(COS_LOOKUP[i+1]-COS_LOOKUP[i]);
32 }
33 
34 /* interpolated 1./sqrt(p) where .5 <= p < 1. */
vorbis_invsqlook(float a)35 float vorbis_invsqlook(float a){
36   double d=a*(2.f*(float)INVSQ_LOOKUP_SZ)-(float)INVSQ_LOOKUP_SZ;
37   int i=vorbis_ftoi(d-.5f);
38   return INVSQ_LOOKUP[i]+ (d-i)*(INVSQ_LOOKUP[i+1]-INVSQ_LOOKUP[i]);
39 }
40 
41 /* interpolated 1./sqrt(p) where .5 <= p < 1. */
vorbis_invsq2explook(int a)42 float vorbis_invsq2explook(int a){
43   return INVSQ2EXP_LOOKUP[a-INVSQ2EXP_LOOKUP_MIN];
44 }
45 
46 #include <stdio.h>
47 /* interpolated lookup based fromdB function, domain -140dB to 0dB only */
vorbis_fromdBlook(float a)48 float vorbis_fromdBlook(float a){
49   int i=vorbis_ftoi(a*((float)(-(1<<FROMdB2_SHIFT)))-.5f);
50   return (i<0)?1.f:
51     ((i>=(FROMdB_LOOKUP_SZ<<FROMdB_SHIFT))?0.f:
52      FROMdB_LOOKUP[i>>FROMdB_SHIFT]*FROMdB2_LOOKUP[i&FROMdB2_MASK]);
53 }
54 
55 #endif
56 
57 #ifdef INT_LOOKUP
58 /* interpolated 1./sqrt(p) where .5 <= a < 1. (.100000... to .111111...) in
59    16.16 format
60 
61    returns in m.8 format */
vorbis_invsqlook_i(long a,long e)62 long vorbis_invsqlook_i(long a,long e){
63   long i=(a&0x7fff)>>(INVSQ_LOOKUP_I_SHIFT-1);
64   long d=(a&INVSQ_LOOKUP_I_MASK)<<(16-INVSQ_LOOKUP_I_SHIFT); /*  0.16 */
65   long val=INVSQ_LOOKUP_I[i]-                                /*  1.16 */
66     (((INVSQ_LOOKUP_I[i]-INVSQ_LOOKUP_I[i+1])*               /*  0.16 */
67       d)>>16);                                               /* result 1.16 */
68 
69   e+=32;
70   if(e&1)val=(val*5792)>>13; /* multiply val by 1/sqrt(2) */
71   e=(e>>1)-8;
72 
73   return(val>>e);
74 }
75 
76 /* interpolated lookup based fromdB function, domain -140dB to 0dB only */
77 /* a is in n.12 format */
vorbis_fromdBlook_i(long a)78 float vorbis_fromdBlook_i(long a){
79   int i=(-a)>>(12-FROMdB2_SHIFT);
80   return (i<0)?1.f:
81     ((i>=(FROMdB_LOOKUP_SZ<<FROMdB_SHIFT))?0.f:
82      FROMdB_LOOKUP[i>>FROMdB_SHIFT]*FROMdB2_LOOKUP[i&FROMdB2_MASK]);
83 }
84 
85 /* interpolated lookup based cos function, domain 0 to PI only */
86 /* a is in 0.16 format, where 0==0, 2^^16-1==PI, return 0.14 */
vorbis_coslook_i(long a)87 long vorbis_coslook_i(long a){
88   int i=a>>COS_LOOKUP_I_SHIFT;
89   int d=a&COS_LOOKUP_I_MASK;
90   return COS_LOOKUP_I[i]- ((d*(COS_LOOKUP_I[i]-COS_LOOKUP_I[i+1]))>>
91                            COS_LOOKUP_I_SHIFT);
92 }
93 
94 #endif
95