1 /* ----------------------------------------------------------------------------- 2 Software License for The Fraunhofer FDK AAC Codec Library for Android 3 4 Copyright 1995 - 2018 Fraunhofer-Gesellschaft zur Frderung 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 79 goods or services; loss of use, data, or profits, or business interruption, 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 (at) 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 #define Q_ATANINP (25) // Input in q25, Output in q30 123 #define Q_ATANOUT (30) 124 #define ATI_SF ((DFRACT_BITS - 1) - Q_ATANINP) /* 6 */ 125 #define ATI_SCALE ((float)(1 << ATI_SF)) 126 #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 #define Q_ATAN2OUT (29) 130 #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 #define SINETAB SineTable512 145 #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 FIXP_DBL *cosine) { 158 FIXP_DBL residual; 159 int s; 160 int shift = (31 - scale - LD - 1); 161 int ssign = 1; 162 int csign = 1; 163 164 residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI)); 165 s = ((LONG)residual) >> shift; 166 167 residual &= ((1 << shift) - 1); 168 residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2; 169 residual <<= scale; 170 171 /* Sine sign symmetry */ 172 if (s & ((1 << LD) << 1)) { 173 ssign = -ssign; 174 } 175 /* Cosine sign symmetry */ 176 if ((s + (1 << LD)) & ((1 << LD) << 1)) { 177 csign = -csign; 178 } 179 180 s = fAbs(s); 181 182 s &= (((1 << LD) << 1) - 1); /* Modulo PI */ 183 184 if (s > (1 << LD)) { 185 s = ((1 << LD) << 1) - s; 186 } 187 188 { 189 LONG sl, cl; 190 /* Because of packed table */ 191 if (s > (1 << (LD - 1))) { 192 FIXP_STP tmp; 193 /* Cosine/Sine simetry for angles greater than PI/4 */ 194 s = (1 << LD) - s; 195 tmp = SINETAB[s]; 196 sl = (LONG)tmp.v.re; 197 cl = (LONG)tmp.v.im; 198 } else { 199 FIXP_STP tmp; 200 tmp = SINETAB[s]; 201 sl = (LONG)tmp.v.im; 202 cl = (LONG)tmp.v.re; 203 } 204 205 #ifdef SINETABLE_16BIT 206 *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS)); 207 *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 } 215 216 return residual; 217 } 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 const int scale, FIXP_DBL *out) { 230 FIXP_DBL residual, error0, error1, sine, cosine; 231 residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine); 232 error0 = fMultDiv2(sine, residual); 233 error1 = fMultDiv2(cosine, residual); 234 235 #ifdef SINETABLE_16BIT 236 *out++ = cosine - (error0 << 1); 237 *out++ = sine + (error1 << 1); 238 #else 239 /* Undo downscaling by 1 which was done at fixp_sin_cos_residual_inline */ 240 *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS); 241 *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS); 242 #endif 243 244 residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine); 245 error0 = fMultDiv2(sine, residual); 246 error1 = fMultDiv2(cosine, residual); 247 248 #ifdef SINETABLE_16BIT 249 *out++ = cosine - (error0 << 1); 250 *out++ = sine + (error1 << 1); 251 #else 252 *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS); 253 *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS); 254 #endif 255 } 256 #endif 257 258 #endif /* !defined(FDK_TRIGFCTS_H) */ 259