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Diffstat (limited to 'libFDK/include/FDK_trigFcts.h')
| -rw-r--r-- | libFDK/include/FDK_trigFcts.h | 309 |
1 files changed, 169 insertions, 140 deletions
diff --git a/libFDK/include/FDK_trigFcts.h b/libFDK/include/FDK_trigFcts.h index c32c0f2..153ca4c 100644 --- a/libFDK/include/FDK_trigFcts.h +++ b/libFDK/include/FDK_trigFcts.h @@ -1,74 +1,85 @@ - -/* ----------------------------------------------------------------------------------------------------------- +/* ----------------------------------------------------------------------------- Software License for The Fraunhofer FDK AAC Codec Library for Android -© Copyright 1995 - 2013 Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. - All rights reserved. +© Copyright 1995 - 2018 Fraunhofer-Gesellschaft zur Förderung der angewandten +Forschung e.V. All rights reserved. 1. INTRODUCTION -The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software that implements -the MPEG Advanced Audio Coding ("AAC") encoding and decoding scheme for digital audio. -This FDK AAC Codec software is intended to be used on a wide variety of Android devices. - -AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient general perceptual -audio codecs. AAC-ELD is considered the best-performing full-bandwidth communications codec by -independent studies and is widely deployed. AAC has been standardized by ISO and IEC as part -of the MPEG specifications. - -Patent licenses for necessary patent claims for the FDK AAC Codec (including those of Fraunhofer) -may be obtained through Via Licensing (www.vialicensing.com) or through the respective patent owners -individually for the purpose of encoding or decoding bit streams in products that are compliant with -the ISO/IEC MPEG audio standards. Please note that most manufacturers of Android devices already license -these patent claims through Via Licensing or directly from the patent owners, and therefore FDK AAC Codec -software may already be covered under those patent licenses when it is used for those licensed purposes only. - -Commercially-licensed AAC software libraries, including floating-point versions with enhanced sound quality, -are also available from Fraunhofer. Users are encouraged to check the Fraunhofer website for additional -applications information and documentation. +The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software +that implements the MPEG Advanced Audio Coding ("AAC") encoding and decoding +scheme for digital audio. This FDK AAC Codec software is intended to be used on +a wide variety of Android devices. + +AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient +general perceptual audio codecs. AAC-ELD is considered the best-performing +full-bandwidth communications codec by independent studies and is widely +deployed. AAC has been standardized by ISO and IEC as part of the MPEG +specifications. + +Patent licenses for necessary patent claims for the FDK AAC Codec (including +those of Fraunhofer) may be obtained through Via Licensing +(www.vialicensing.com) or through the respective patent owners individually for +the purpose of encoding or decoding bit streams in products that are compliant +with the ISO/IEC MPEG audio standards. Please note that most manufacturers of +Android devices already license these patent claims through Via Licensing or +directly from the patent owners, and therefore FDK AAC Codec software may +already be covered under those patent licenses when it is used for those +licensed purposes only. + +Commercially-licensed AAC software libraries, including floating-point versions +with enhanced sound quality, are also available from Fraunhofer. Users are +encouraged to check the Fraunhofer website for additional applications +information and documentation. 2. COPYRIGHT LICENSE -Redistribution and use in source and binary forms, with or without modification, are permitted without -payment of copyright license fees provided that you satisfy the following conditions: +Redistribution and use in source and binary forms, with or without modification, +are permitted without payment of copyright license fees provided that you +satisfy the following conditions: -You must retain the complete text of this software license in redistributions of the FDK AAC Codec or -your modifications thereto in source code form. +You must retain the complete text of this software license in redistributions of +the FDK AAC Codec or your modifications thereto in source code form. -You must retain the complete text of this software license in the documentation and/or other materials -provided with redistributions of the FDK AAC Codec or your modifications thereto in binary form. -You must make available free of charge copies of the complete source code of the FDK AAC Codec and your +You must retain the complete text of this software license in the documentation +and/or other materials provided with redistributions of the FDK AAC Codec or +your modifications thereto in binary form. You must make available free of +charge copies of the complete source code of the FDK AAC Codec and your modifications thereto to recipients of copies in binary form. -The name of Fraunhofer may not be used to endorse or promote products derived from this library without -prior written permission. +The name of Fraunhofer may not be used to endorse or promote products derived +from this library without prior written permission. -You may not charge copyright license fees for anyone to use, copy or distribute the FDK AAC Codec -software or your modifications thereto. +You may not charge copyright license fees for anyone to use, copy or distribute +the FDK AAC Codec software or your modifications thereto. -Your modified versions of the FDK AAC Codec must carry prominent notices stating that you changed the software -and the date of any change. For modified versions of the FDK AAC Codec, the term -"Fraunhofer FDK AAC Codec Library for Android" must be replaced by the term -"Third-Party Modified Version of the Fraunhofer FDK AAC Codec Library for Android." +Your modified versions of the FDK AAC Codec must carry prominent notices stating +that you changed the software and the date of any change. For modified versions +of the FDK AAC Codec, the term "Fraunhofer FDK AAC Codec Library for Android" +must be replaced by the term "Third-Party Modified Version of the Fraunhofer FDK +AAC Codec Library for Android." 3. NO PATENT LICENSE -NO EXPRESS OR IMPLIED LICENSES TO ANY PATENT CLAIMS, including without limitation the patents of Fraunhofer, -ARE GRANTED BY THIS SOFTWARE LICENSE. Fraunhofer provides no warranty of patent non-infringement with -respect to this software. +NO EXPRESS OR IMPLIED LICENSES TO ANY PATENT CLAIMS, including without +limitation the patents of Fraunhofer, ARE GRANTED BY THIS SOFTWARE LICENSE. +Fraunhofer provides no warranty of patent non-infringement with respect to this +software. -You may use this FDK AAC Codec software or modifications thereto only for purposes that are authorized -by appropriate patent licenses. +You may use this FDK AAC Codec software or modifications thereto only for +purposes that are authorized by appropriate patent licenses. 4. DISCLAIMER -This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright holders and contributors -"AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES, including but not limited to the implied warranties -of merchantability and fitness for a particular purpose. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR -CONTRIBUTORS BE LIABLE for any direct, indirect, incidental, special, exemplary, or consequential damages, -including but not limited to procurement of substitute goods or services; loss of use, data, or profits, -or business interruption, however caused and on any theory of liability, whether in contract, strict -liability, or tort (including negligence), arising in any way out of the use of this software, even if -advised of the possibility of such damage. +This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright +holders and contributors "AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES, +including but not limited to the implied warranties of merchantability and +fitness for a particular purpose. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR +CONTRIBUTORS BE LIABLE for any direct, indirect, incidental, special, exemplary, +or consequential damages, including but not limited to procurement of substitute +goods or services; loss of use, data, or profits, or business interruption, +however caused and on any theory of liability, whether in contract, strict +liability, or tort (including negligence), arising in any way out of the use of +this software, even if advised of the possibility of such damage. 5. CONTACT INFORMATION @@ -79,43 +90,45 @@ Am Wolfsmantel 33 www.iis.fraunhofer.de/amm amm-info@iis.fraunhofer.de ------------------------------------------------------------------------------------------------------------ */ +----------------------------------------------------------------------------- */ -/*************************** Fraunhofer IIS FDK Tools ********************** +/******************* Library for basic calculation routines ******************** Author(s): Haricharan Lakshman, Manuel Jander - Description: Trigonometric functions fixed point fractional implementation. -******************************************************************************/ + Description: Trigonometric functions fixed point fractional implementation. +*******************************************************************************/ +#if !defined(FDK_TRIGFCTS_H) +#define FDK_TRIGFCTS_H #include "common_fix.h" #include "FDK_tools_rom.h" /* Fixed point precision definitions */ -#define Q(format) ((FIXP_DBL)(((LONG)1) << (format))) +#define Q(format) ((FIXP_DBL)(((LONG)1) << (format))) #ifndef M_PI -#define M_PI (3.14159265358979323846f) +#define M_PI (3.14159265358979323846f) #endif /*! * Inverse tangent function. */ -// --- fixp_atan() ---- -#define Q_ATANINP (25) // Input in q25, Output in q30 -#define Q_ATANOUT (30) -#define ATI_SF ((DFRACT_BITS-1)-Q_ATANINP) // 6 -#define ATI_SCALE ((float)(1<<ATI_SF)) // -#define ATO_SF ((DFRACT_BITS-1)-Q_ATANOUT) // 1 ] -pi/2 .. pi/2 [ -#define ATO_SCALE ((float)(1<<ATO_SF)) // -// --- fixp_atan2() --- -#define Q_ATAN2OUT (29) -#define AT2O_SF ((DFRACT_BITS-1)-Q_ATAN2OUT) // 2 ] -pi .. pi ] -#define AT2O_SCALE ((float)(1<<AT2O_SF)) // +/* --- fixp_atan() ---- */ +#define Q_ATANINP (25) // Input in q25, Output in q30 +#define Q_ATANOUT (30) +#define ATI_SF ((DFRACT_BITS - 1) - Q_ATANINP) /* 6 */ +#define ATI_SCALE ((float)(1 << ATI_SF)) +#define ATO_SF ((DFRACT_BITS - 1) - Q_ATANOUT) /* 1 ] -pi/2 .. pi/2 [ */ +#define ATO_SCALE ((float)(1 << ATO_SF)) +/* --- fixp_atan2() --- */ +#define Q_ATAN2OUT (29) +#define AT2O_SF ((DFRACT_BITS - 1) - Q_ATAN2OUT) /* 2 ] -pi .. pi ] */ +#define AT2O_SCALE ((float)(1 << AT2O_SF)) // -------------------- FIXP_DBL fixp_atan(FIXP_DBL x); @@ -126,13 +139,11 @@ FIXP_DBL fixp_sin(FIXP_DBL x, int scale); #define FIXP_COS_SIN - #include "FDK_tools_rom.h" #define SINETAB SineTable512 #define LD 9 - #ifndef FUNCTION_inline_fixp_cos_sin #define FUNCTION_inline_fixp_cos_sin @@ -141,89 +152,107 @@ FIXP_DBL fixp_sin(FIXP_DBL x, int scale); * Calculates coarse lookup index and sign for sine. * Returns delta x residual. */ -static inline FIXP_DBL fixp_sin_cos_residual_inline(FIXP_DBL x, int scale, FIXP_DBL *sine, FIXP_DBL *cosine) -{ - FIXP_DBL residual; - int s; - int shift = (31-scale-LD-1); - int ssign = 1; - int csign = 1; - - residual = fMult(x, FL2FXCONST_DBL(1.0/M_PI)); - s = ((LONG)residual) >> shift; - - residual &= ( (1<<shift) - 1 ); - residual = fMult(residual, FL2FXCONST_DBL(M_PI/4.0)) << 2; - residual <<= scale; - - /* Sine sign symmetry */ - if (s & ((1<<LD)<<1) ) { - ssign = -ssign; - } - /* Cosine sign symmetry */ - if ( (s + (1<<LD)) & ((1<<LD)<<1) ) { - csign = -csign; +static inline FIXP_DBL fixp_sin_cos_residual_inline(FIXP_DBL x, int scale, + FIXP_DBL *sine, + FIXP_DBL *cosine) { + FIXP_DBL residual; + int s; + int shift = (31 - scale - LD - 1); + int ssign = 1; + int csign = 1; + + residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI)); + s = ((LONG)residual) >> shift; + + residual &= ((1 << shift) - 1); + residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2; + residual <<= scale; + + /* Sine sign symmetry */ + if (s & ((1 << LD) << 1)) { + ssign = -ssign; + } + /* Cosine sign symmetry */ + if ((s + (1 << LD)) & ((1 << LD) << 1)) { + csign = -csign; + } + + s = fAbs(s); + + s &= (((1 << LD) << 1) - 1); /* Modulo PI */ + + if (s > (1 << LD)) { + s = ((1 << LD) << 1) - s; + } + + { + LONG sl, cl; + /* Because of packed table */ + if (s > (1 << (LD - 1))) { + FIXP_STP tmp; + /* Cosine/Sine simetry for angles greater than PI/4 */ + s = (1 << LD) - s; + tmp = SINETAB[s]; + sl = (LONG)tmp.v.re; + cl = (LONG)tmp.v.im; + } else { + FIXP_STP tmp; + tmp = SINETAB[s]; + sl = (LONG)tmp.v.im; + cl = (LONG)tmp.v.re; } - s = fAbs(s); - - s &= (((1<<LD)<<1)-1); /* Modulo PI */ - - if (s > (1<<LD)) { - s = ((1<<LD)<<1) - s; - } - - { - LONG sl, cl; - /* Because of packed table */ - if (s > (1<<(LD-1))) { - FIXP_STP tmp; - /* Cosine/Sine simetry for angles greater than PI/4 */ - s = (1<<LD)-s; - tmp = SINETAB[s]; - sl = (LONG)tmp.v.re; - cl = (LONG)tmp.v.im; - } else { - FIXP_STP tmp; - tmp = SINETAB[s]; - sl = (LONG)tmp.v.im; - cl = (LONG)tmp.v.re; - } - #ifdef SINETABLE_16BIT - *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS-FRACT_BITS)); - *cosine = (FIXP_DBL)((cl * csign) << (DFRACT_BITS-FRACT_BITS)); + *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS)); + *cosine = (FIXP_DBL)((cl * csign) << (DFRACT_BITS - FRACT_BITS)); #else - *sine = (FIXP_DBL)(sl * ssign); - *cosine = (FIXP_DBL)(cl * csign); + /* scale down by 1 for overflow prevention. This is undone at the calling + * function. */ + *sine = (FIXP_DBL)(sl * ssign) >> 1; + *cosine = (FIXP_DBL)(cl * csign) >> 1; #endif - } + } - return residual; + return residual; } /** - * \brief Calculate cosine and sine value each of 2 angles different angle values. + * \brief Calculate cosine and sine value each of 2 angles different angle + * values. * \param x1 first angle value * \param x2 second angle value * \param scale exponent of x1 and x2 - * \param out pointer to 4 FIXP_DBL locations, were the values cos(x1), sin(x1), cos(x2), sin(x2) - * will be stored into. + * \param out pointer to 4 FIXP_DBL locations, were the values cos(x1), sin(x1), + * cos(x2), sin(x2) will be stored into. */ -static inline void inline_fixp_cos_sin (FIXP_DBL x1, FIXP_DBL x2, const int scale, FIXP_DBL *out) -{ - FIXP_DBL residual, error0, error1, sine, cosine; - residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine); - error0 = fMultDiv2(sine, residual); - error1 = fMultDiv2(cosine, residual); - *out++ = cosine - (error0<<1); - *out++ = sine + (error1<<1); - - residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine); - error0 = fMultDiv2(sine, residual); - error1 = fMultDiv2(cosine, residual); - *out++ = cosine - (error0<<1); - *out++ = sine + (error1<<1); +static inline void inline_fixp_cos_sin(FIXP_DBL x1, FIXP_DBL x2, + const int scale, FIXP_DBL *out) { + FIXP_DBL residual, error0, error1, sine, cosine; + residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine); + error0 = fMultDiv2(sine, residual); + error1 = fMultDiv2(cosine, residual); + +#ifdef SINETABLE_16BIT + *out++ = cosine - (error0 << 1); + *out++ = sine + (error1 << 1); +#else + /* Undo downscaling by 1 which was done at fixp_sin_cos_residual_inline */ + *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS); + *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS); +#endif + + residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine); + error0 = fMultDiv2(sine, residual); + error1 = fMultDiv2(cosine, residual); + +#ifdef SINETABLE_16BIT + *out++ = cosine - (error0 << 1); + *out++ = sine + (error1 << 1); +#else + *out++ = SATURATE_LEFT_SHIFT(cosine - (error0 << 1), 1, DFRACT_BITS); + *out++ = SATURATE_LEFT_SHIFT(sine + (error1 << 1), 1, DFRACT_BITS); +#endif } #endif +#endif /* !defined(FDK_TRIGFCTS_H) */ |