/src/fdk-aac/libFDK/include/FDK_trigFcts.h
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1 | | /* ----------------------------------------------------------------------------- |
2 | | Software License for The Fraunhofer FDK AAC Codec Library for Android |
3 | | |
4 | | © Copyright 1995 - 2018 Fraunhofer-Gesellschaft zur Förderung der angewandten |
5 | | Forschung e.V. All rights reserved. |
6 | | |
7 | | 1. INTRODUCTION |
8 | | The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software |
9 | | that implements the MPEG Advanced Audio Coding ("AAC") encoding and decoding |
10 | | scheme for digital audio. This FDK AAC Codec software is intended to be used on |
11 | | a wide variety of Android devices. |
12 | | |
13 | | AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient |
14 | | general perceptual audio codecs. AAC-ELD is considered the best-performing |
15 | | full-bandwidth communications codec by independent studies and is widely |
16 | | deployed. AAC has been standardized by ISO and IEC as part of the MPEG |
17 | | specifications. |
18 | | |
19 | | Patent licenses for necessary patent claims for the FDK AAC Codec (including |
20 | | those of Fraunhofer) may be obtained through Via Licensing |
21 | | (www.vialicensing.com) or through the respective patent owners individually for |
22 | | the purpose of encoding or decoding bit streams in products that are compliant |
23 | | with the ISO/IEC MPEG audio standards. Please note that most manufacturers of |
24 | | Android devices already license these patent claims through Via Licensing or |
25 | | directly from the patent owners, and therefore FDK AAC Codec software may |
26 | | already be covered under those patent licenses when it is used for those |
27 | | licensed purposes only. |
28 | | |
29 | | Commercially-licensed AAC software libraries, including floating-point versions |
30 | | with enhanced sound quality, are also available from Fraunhofer. Users are |
31 | | encouraged to check the Fraunhofer website for additional applications |
32 | | information and documentation. |
33 | | |
34 | | 2. COPYRIGHT LICENSE |
35 | | |
36 | | Redistribution and use in source and binary forms, with or without modification, |
37 | | are permitted without payment of copyright license fees provided that you |
38 | | satisfy the following conditions: |
39 | | |
40 | | You must retain the complete text of this software license in redistributions of |
41 | | the FDK AAC Codec or your modifications thereto in source code form. |
42 | | |
43 | | You must retain the complete text of this software license in the documentation |
44 | | and/or other materials provided with redistributions of the FDK AAC Codec or |
45 | | your modifications thereto in binary form. You must make available free of |
46 | | charge copies of the complete source code of the FDK AAC Codec and your |
47 | | modifications thereto to recipients of copies in binary form. |
48 | | |
49 | | The name of Fraunhofer may not be used to endorse or promote products derived |
50 | | from this library without prior written permission. |
51 | | |
52 | | You may not charge copyright license fees for anyone to use, copy or distribute |
53 | | the FDK AAC Codec software or your modifications thereto. |
54 | | |
55 | | Your modified versions of the FDK AAC Codec must carry prominent notices stating |
56 | | that you changed the software and the date of any change. For modified versions |
57 | | of the FDK AAC Codec, the term "Fraunhofer FDK AAC Codec Library for Android" |
58 | | must be replaced by the term "Third-Party Modified Version of the Fraunhofer FDK |
59 | | AAC Codec Library for Android." |
60 | | |
61 | | 3. NO PATENT LICENSE |
62 | | |
63 | | NO EXPRESS OR IMPLIED LICENSES TO ANY PATENT CLAIMS, including without |
64 | | limitation the patents of Fraunhofer, ARE GRANTED BY THIS SOFTWARE LICENSE. |
65 | | Fraunhofer provides no warranty of patent non-infringement with respect to this |
66 | | software. |
67 | | |
68 | | You may use this FDK AAC Codec software or modifications thereto only for |
69 | | purposes that are authorized by appropriate patent licenses. |
70 | | |
71 | | 4. DISCLAIMER |
72 | | |
73 | | This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright |
74 | | holders and contributors "AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES, |
75 | | including but not limited to the implied warranties of merchantability and |
76 | | fitness for a particular purpose. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR |
77 | | CONTRIBUTORS BE LIABLE for any direct, indirect, incidental, special, exemplary, |
78 | | or consequential damages, including but not limited to procurement of substitute |
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80 | | however caused and on any theory of liability, whether in contract, strict |
81 | | liability, or tort (including negligence), arising in any way out of the use of |
82 | | this software, even if advised of the possibility of such damage. |
83 | | |
84 | | 5. CONTACT INFORMATION |
85 | | |
86 | | Fraunhofer Institute for Integrated Circuits IIS |
87 | | Attention: Audio and Multimedia Departments - FDK AAC LL |
88 | | Am Wolfsmantel 33 |
89 | | 91058 Erlangen, Germany |
90 | | |
91 | | www.iis.fraunhofer.de/amm |
92 | | amm-info@iis.fraunhofer.de |
93 | | ----------------------------------------------------------------------------- */ |
94 | | |
95 | | /******************* Library for basic calculation routines ******************** |
96 | | |
97 | | Author(s): Haricharan Lakshman, Manuel Jander |
98 | | |
99 | | Description: Trigonometric functions fixed point fractional implementation. |
100 | | |
101 | | *******************************************************************************/ |
102 | | |
103 | | #if !defined(FDK_TRIGFCTS_H) |
104 | | #define FDK_TRIGFCTS_H |
105 | | |
106 | | #include "common_fix.h" |
107 | | |
108 | | #include "FDK_tools_rom.h" |
109 | | |
110 | | /* Fixed point precision definitions */ |
111 | | #define Q(format) ((FIXP_DBL)(((LONG)1) << (format))) |
112 | | |
113 | | #ifndef M_PI |
114 | | #define M_PI (3.14159265358979323846f) |
115 | | #endif |
116 | | |
117 | | /*! |
118 | | * Inverse tangent function. |
119 | | */ |
120 | | |
121 | | /* --- fixp_atan() ---- */ |
122 | 0 | #define Q_ATANINP (25) // Input in q25, Output in q30 |
123 | 0 | #define Q_ATANOUT (30) |
124 | 0 | #define ATI_SF ((DFRACT_BITS - 1) - Q_ATANINP) /* 6 */ |
125 | | #define ATI_SCALE ((float)(1 << ATI_SF)) |
126 | 0 | #define ATO_SF ((DFRACT_BITS - 1) - Q_ATANOUT) /* 1 ] -pi/2 .. pi/2 [ */ |
127 | | #define ATO_SCALE ((float)(1 << ATO_SF)) |
128 | | /* --- fixp_atan2() --- */ |
129 | 0 | #define Q_ATAN2OUT (29) |
130 | 0 | #define AT2O_SF ((DFRACT_BITS - 1) - Q_ATAN2OUT) /* 2 ] -pi .. pi ] */ |
131 | | #define AT2O_SCALE ((float)(1 << AT2O_SF)) |
132 | | // -------------------- |
133 | | |
134 | | FIXP_DBL fixp_atan(FIXP_DBL x); |
135 | | FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x); |
136 | | |
137 | | FIXP_DBL fixp_cos(FIXP_DBL x, int scale); |
138 | | FIXP_DBL fixp_sin(FIXP_DBL x, int scale); |
139 | | |
140 | | #define FIXP_COS_SIN |
141 | | |
142 | | #include "FDK_tools_rom.h" |
143 | | |
144 | 0 | #define SINETAB SineTable512 |
145 | 0 | #define LD 9 |
146 | | |
147 | | #ifndef FUNCTION_inline_fixp_cos_sin |
148 | | |
149 | | #define FUNCTION_inline_fixp_cos_sin |
150 | | |
151 | | /* |
152 | | * Calculates coarse lookup index and sign for sine. |
153 | | * Returns delta x residual. |
154 | | */ |
155 | | static inline FIXP_DBL fixp_sin_cos_residual_inline(FIXP_DBL x, int scale, |
156 | | FIXP_DBL *sine, |
157 | 0 | FIXP_DBL *cosine) { |
158 | 0 | FIXP_DBL residual; |
159 | 0 | int s; |
160 | 0 | int shift = (31 - scale - LD - 1); |
161 | 0 | int ssign = 1; |
162 | 0 | int csign = 1; |
163 | |
|
164 | 0 | residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI)); |
165 | 0 | s = ((LONG)residual) >> shift; |
166 | |
|
167 | 0 | residual &= ((1 << shift) - 1); |
168 | 0 | residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2; |
169 | 0 | residual <<= scale; |
170 | | |
171 | | /* Sine sign symmetry */ |
172 | 0 | if (s & ((1 << LD) << 1)) { |
173 | 0 | ssign = -ssign; |
174 | 0 | } |
175 | | /* Cosine sign symmetry */ |
176 | 0 | if ((s + (1 << LD)) & ((1 << LD) << 1)) { |
177 | 0 | csign = -csign; |
178 | 0 | } |
179 | |
|
180 | 0 | s = fAbs(s); |
181 | |
|
182 | 0 | s &= (((1 << LD) << 1) - 1); /* Modulo PI */ |
183 | |
|
184 | 0 | if (s > (1 << LD)) { |
185 | 0 | s = ((1 << LD) << 1) - s; |
186 | 0 | } |
187 | |
|
188 | 0 | { |
189 | 0 | LONG sl, cl; |
190 | | /* Because of packed table */ |
191 | 0 | if (s > (1 << (LD - 1))) { |
192 | 0 | FIXP_STP tmp; |
193 | | /* Cosine/Sine simetry for angles greater than PI/4 */ |
194 | 0 | s = (1 << LD) - s; |
195 | 0 | tmp = SINETAB[s]; |
196 | 0 | sl = (LONG)tmp.v.re; |
197 | 0 | cl = (LONG)tmp.v.im; |
198 | 0 | } else { |
199 | 0 | FIXP_STP tmp; |
200 | 0 | tmp = SINETAB[s]; |
201 | 0 | sl = (LONG)tmp.v.im; |
202 | 0 | cl = (LONG)tmp.v.re; |
203 | 0 | } |
204 | |
|
205 | 0 | #ifdef SINETABLE_16BIT |
206 | 0 | *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS)); |
207 | 0 | *cosine = (FIXP_DBL)((cl * csign) << (DFRACT_BITS - FRACT_BITS)); |
208 | | #else |
209 | | /* scale down by 1 for overflow prevention. This is undone at the calling |
210 | | * function. */ |
211 | | *sine = (FIXP_DBL)(sl * ssign) >> 1; |
212 | | *cosine = (FIXP_DBL)(cl * csign) >> 1; |
213 | | #endif |
214 | 0 | } |
215 | |
|
216 | 0 | return residual; |
217 | 0 | } Unexecuted instantiation: qmf.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*) Unexecuted instantiation: sacenc_dmx_tdom_enh.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*) Unexecuted instantiation: FDK_trigFcts.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*) Unexecuted instantiation: psy_configuration.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*) |
218 | | |
219 | | /** |
220 | | * \brief Calculate cosine and sine value each of 2 angles different angle |
221 | | * values. |
222 | | * \param x1 first angle value |
223 | | * \param x2 second angle value |
224 | | * \param scale exponent of x1 and x2 |
225 | | * \param out pointer to 4 FIXP_DBL locations, were the values cos(x1), sin(x1), |
226 | | * cos(x2), sin(x2) will be stored into. |
227 | | */ |
228 | | static inline void inline_fixp_cos_sin(FIXP_DBL x1, FIXP_DBL x2, |
229 | 0 | const int scale, FIXP_DBL *out) { |
230 | 0 | FIXP_DBL residual, error0, error1, sine, cosine; |
231 | 0 | residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine); |
232 | 0 | error0 = fMultDiv2(sine, residual); |
233 | 0 | error1 = fMultDiv2(cosine, residual); |
234 | 0 |
|
235 | 0 | #ifdef SINETABLE_16BIT |
236 | 0 | *out++ = cosine - (error0 << 1); |
237 | 0 | *out++ = sine + (error1 << 1); |
238 | 0 | #else |
239 | 0 | /* Undo downscaling by 1 which was done at fixp_sin_cos_residual_inline */ |
240 | 0 | *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS); |
241 | 0 | *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS); |
242 | 0 | #endif |
243 | 0 |
|
244 | 0 | residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine); |
245 | 0 | error0 = fMultDiv2(sine, residual); |
246 | 0 | error1 = fMultDiv2(cosine, residual); |
247 | 0 |
|
248 | 0 | #ifdef SINETABLE_16BIT |
249 | 0 | *out++ = cosine - (error0 << 1); |
250 | 0 | *out++ = sine + (error1 << 1); |
251 | 0 | #else |
252 | 0 | *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS); |
253 | 0 | *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS); |
254 | 0 | #endif |
255 | 0 | } Unexecuted instantiation: qmf.cpp:inline_fixp_cos_sin(int, int, int, int*) Unexecuted instantiation: sacenc_dmx_tdom_enh.cpp:inline_fixp_cos_sin(int, int, int, int*) Unexecuted instantiation: FDK_trigFcts.cpp:inline_fixp_cos_sin(int, int, int, int*) Unexecuted instantiation: psy_configuration.cpp:inline_fixp_cos_sin(int, int, int, int*) |
256 | | #endif |
257 | | |
258 | | #endif /* !defined(FDK_TRIGFCTS_H) */ |