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1 
2 /* -----------------------------------------------------------------------------------------------------------
3 Software License for The Fraunhofer FDK AAC Codec Library for Android
4 
5 � Copyright  1995 - 2013 Fraunhofer-Gesellschaft zur F�rderung der angewandten Forschung e.V.
6   All rights reserved.
7 
8  1.    INTRODUCTION
9 The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software that implements
10 the MPEG Advanced Audio Coding ("AAC") encoding and decoding scheme for digital audio.
11 This FDK AAC Codec software is intended to be used on a wide variety of Android devices.
12 
13 AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient general perceptual
14 audio codecs. AAC-ELD is considered the best-performing full-bandwidth communications codec by
15 independent studies and is widely deployed. AAC has been standardized by ISO and IEC as part
16 of the MPEG specifications.
17 
18 Patent licenses for necessary patent claims for the FDK AAC Codec (including those of Fraunhofer)
19 may be obtained through Via Licensing (www.vialicensing.com) or through the respective patent owners
20 individually for the purpose of encoding or decoding bit streams in products that are compliant with
21 the ISO/IEC MPEG audio standards. Please note that most manufacturers of Android devices already license
22 these patent claims through Via Licensing or directly from the patent owners, and therefore FDK AAC Codec
23 software may already be covered under those patent licenses when it is used for those licensed purposes only.
24 
25 Commercially-licensed AAC software libraries, including floating-point versions with enhanced sound quality,
26 are also available from Fraunhofer. Users are encouraged to check the Fraunhofer website for additional
27 applications information and documentation.
28 
29 2.    COPYRIGHT LICENSE
30 
31 Redistribution and use in source and binary forms, with or without modification, are permitted without
32 payment of copyright license fees provided that you satisfy the following conditions:
33 
34 You must retain the complete text of this software license in redistributions of the FDK AAC Codec or
35 your modifications thereto in source code form.
36 
37 You must retain the complete text of this software license in the documentation and/or other materials
38 provided with redistributions of the FDK AAC Codec or your modifications thereto in binary form.
39 You must make available free of charge copies of the complete source code of the FDK AAC Codec and your
40 modifications thereto to recipients of copies in binary form.
41 
42 The name of Fraunhofer may not be used to endorse or promote products derived from this library without
43 prior written permission.
44 
45 You may not charge copyright license fees for anyone to use, copy or distribute the FDK AAC Codec
46 software or your modifications thereto.
47 
48 Your modified versions of the FDK AAC Codec must carry prominent notices stating that you changed the software
49 and the date of any change. For modified versions of the FDK AAC Codec, the term
50 "Fraunhofer FDK AAC Codec Library for Android" must be replaced by the term
51 "Third-Party Modified Version of the Fraunhofer FDK AAC Codec Library for Android."
52 
53 3.    NO PATENT LICENSE
54 
55 NO EXPRESS OR IMPLIED LICENSES TO ANY PATENT CLAIMS, including without limitation the patents of Fraunhofer,
56 ARE GRANTED BY THIS SOFTWARE LICENSE. Fraunhofer provides no warranty of patent non-infringement with
57 respect to this software.
58 
59 You may use this FDK AAC Codec software or modifications thereto only for purposes that are authorized
60 by appropriate patent licenses.
61 
62 4.    DISCLAIMER
63 
64 This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright holders and contributors
65 "AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES, including but not limited to the implied warranties
66 of merchantability and fitness for a particular purpose. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
67 CONTRIBUTORS BE LIABLE for any direct, indirect, incidental, special, exemplary, or consequential damages,
68 including but not limited to procurement of substitute goods or services; loss of use, data, or profits,
69 or business interruption, however caused and on any theory of liability, whether in contract, strict
70 liability, or tort (including negligence), arising in any way out of the use of this software, even if
71 advised of the possibility of such damage.
72 
73 5.    CONTACT INFORMATION
74 
75 Fraunhofer Institute for Integrated Circuits IIS
76 Attention: Audio and Multimedia Departments - FDK AAC LL
77 Am Wolfsmantel 33
78 91058 Erlangen, Germany
79 
80 www.iis.fraunhofer.de/amm
81 amm-info@iis.fraunhofer.de
82 ----------------------------------------------------------------------------------------------------------- */
83 
84 /***************************  Fraunhofer IIS FDK Tools  **********************
85 
86    Author(s):   Haricharan Lakshman, Manuel Jander
87    Description: Trigonometric functions fixed point fractional implementation.
88 
89 ******************************************************************************/
90 
91 
92 
93 #include "common_fix.h"
94 
95 #include "FDK_tools_rom.h"
96 
97 /* Fixed point precision definitions */
98 #define Q(format)        ((FIXP_DBL)(((LONG)1) << (format)))
99 
100 #ifndef M_PI
101 #define M_PI      (3.14159265358979323846f)
102 #endif
103 
104 /*!
105  * Inverse tangent function.
106  */
107 
108 // --- fixp_atan() ----
109 #define Q_ATANINP   (25)    // Input in q25, Output in q30
110 #define Q_ATANOUT   (30)
111 #define ATI_SF              ((DFRACT_BITS-1)-Q_ATANINP)  // 6
112 #define ATI_SCALE           ((float)(1<<ATI_SF))         //
113 #define ATO_SF              ((DFRACT_BITS-1)-Q_ATANOUT)  // 1   ] -pi/2 .. pi/2 [
114 #define ATO_SCALE           ((float)(1<<ATO_SF))         //
115 // --- fixp_atan2() ---
116 #define Q_ATAN2OUT  (29)
117 #define AT2O_SF             ((DFRACT_BITS-1)-Q_ATAN2OUT) // 2   ] -pi   .. pi   ]
118 #define AT2O_SCALE          ((float)(1<<AT2O_SF))        //
119 // --------------------
120 
121 FIXP_DBL fixp_atan(FIXP_DBL x);
122 FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x);
123 
124 FIXP_DBL fixp_cos(FIXP_DBL x, int scale);
125 FIXP_DBL fixp_sin(FIXP_DBL x, int scale);
126 
127 #define FIXP_COS_SIN
128 
129 
130 #include "FDK_tools_rom.h"
131 
132 #define SINETAB SineTable512
133 #define LD 9
134 
135 
136 #ifndef FUNCTION_inline_fixp_cos_sin
137 
138 #define FUNCTION_inline_fixp_cos_sin
139 
140 /*
141  * Calculates coarse lookup index and sign for sine.
142  * Returns delta x residual.
143  */
fixp_sin_cos_residual_inline(FIXP_DBL x,int scale,FIXP_DBL * sine,FIXP_DBL * cosine)144 static inline FIXP_DBL fixp_sin_cos_residual_inline(FIXP_DBL x, int scale, FIXP_DBL *sine, FIXP_DBL *cosine)
145 {
146     FIXP_DBL residual;
147     int s;
148     int shift = (31-scale-LD-1);
149     int ssign = 1;
150     int csign = 1;
151 
152     residual = fMult(x, FL2FXCONST_DBL(1.0/M_PI));
153     s = ((LONG)residual) >> shift;
154 
155     residual &= ( (1<<shift) - 1 );
156     residual = fMult(residual, FL2FXCONST_DBL(M_PI/4.0)) << 2;
157     residual <<= scale;
158 
159     /* Sine sign symmetry */
160     if (s & ((1<<LD)<<1) ) {
161       ssign = -ssign;
162     }
163     /* Cosine sign symmetry */
164     if ( (s + (1<<LD)) & ((1<<LD)<<1) ) {
165       csign = -csign;
166     }
167 
168     s = fAbs(s);
169 
170     s &= (((1<<LD)<<1)-1); /* Modulo PI */
171 
172     if (s > (1<<LD)) {
173       s = ((1<<LD)<<1) - s;
174     }
175 
176     {
177       LONG sl, cl;
178       /* Because of packed table */
179       if (s > (1<<(LD-1))) {
180         FIXP_STP tmp;
181         /* Cosine/Sine simetry for angles greater than PI/4 */
182         s = (1<<LD)-s;
183         tmp = SINETAB[s];
184         sl = (LONG)tmp.v.re;
185         cl = (LONG)tmp.v.im;
186       } else {
187         FIXP_STP tmp;
188         tmp = SINETAB[s];
189         sl = (LONG)tmp.v.im;
190         cl = (LONG)tmp.v.re;
191       }
192 
193 #ifdef SINETABLE_16BIT
194       *sine   = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS-FRACT_BITS));
195       *cosine = (FIXP_DBL)((cl * csign) << (DFRACT_BITS-FRACT_BITS));
196 #else
197       *sine   = (FIXP_DBL)(sl * ssign);
198       *cosine = (FIXP_DBL)(cl * csign);
199 #endif
200     }
201 
202     return residual;
203 }
204 
205 /**
206  * \brief Calculate cosine and sine value each of 2 angles different angle values.
207  * \param x1 first angle value
208  * \param x2 second angle value
209  * \param scale exponent of x1 and x2
210  * \param out pointer to 4 FIXP_DBL locations, were the values cos(x1), sin(x1), cos(x2), sin(x2)
211  *            will be stored into.
212  */
inline_fixp_cos_sin(FIXP_DBL x1,FIXP_DBL x2,const int scale,FIXP_DBL * out)213 static inline void inline_fixp_cos_sin (FIXP_DBL x1, FIXP_DBL x2, const int scale, FIXP_DBL *out)
214 {
215     FIXP_DBL residual, error0, error1, sine, cosine;
216     residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine);
217     error0 = fMultDiv2(sine, residual);
218     error1 = fMultDiv2(cosine, residual);
219     *out++  = cosine - (error0<<1);
220     *out++  = sine   + (error1<<1);
221 
222     residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine);
223     error0 = fMultDiv2(sine, residual);
224     error1 = fMultDiv2(cosine, residual);
225     *out++  = cosine - (error0<<1);
226     *out++  = sine   + (error1<<1);
227 }
228 #endif
229 
230