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Diffstat (limited to 'libFDK/src/FDK_trigFcts.cpp')
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diff --git a/libFDK/src/FDK_trigFcts.cpp b/libFDK/src/FDK_trigFcts.cpp deleted file mode 100644 index 1f3a017..0000000 --- a/libFDK/src/FDK_trigFcts.cpp +++ /dev/null @@ -1,330 +0,0 @@ - -/* ----------------------------------------------------------------------------------------------------------- -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. - - 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. - -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: - -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 -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. - -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." - -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. - -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. - -5. CONTACT INFORMATION - -Fraunhofer Institute for Integrated Circuits IIS -Attention: Audio and Multimedia Departments - FDK AAC LL -Am Wolfsmantel 33 -91058 Erlangen, Germany - -www.iis.fraunhofer.de/amm -amm-info@iis.fraunhofer.de ------------------------------------------------------------------------------------------------------------ */ - -/*************************** Fraunhofer IIS FDK Tools ********************** - - Author(s): Haricharan Lakshman, Manuel Jander - Description: Trigonometric functions fixed point fractional implementation. - -******************************************************************************/ - -#include "FDK_trigFcts.h" - -#include "fixpoint_math.h" - - - - -#define IMPROVE_ATAN2_ACCURACY 1 // 0 --> 59 dB SNR 1 --> 65 dB SNR -#define MINSFTAB 7 -#define MAXSFTAB 25 - -#if IMPROVE_ATAN2_ACCURACY -static const FIXP_DBL f_atan_expand_range[MAXSFTAB-(MINSFTAB-1)] = -{ - /***************************************************************************** - * - * Table holds fixp_atan() output values which are outside of input range - * of fixp_atan() to improve SNR of fixp_atan2(). - * - * This Table might also be used in fixp_atan() [todo] so there a wider input - * range can be covered, too. - * - * Matlab (generate table): - * for scl = 7:25 % MINSFTAB .. MAXSFTAB - * at=atan(0.5 *(2^scl)); % 0.5 because get in 'middle' area of current scale level 'scl' - * at/2 % div at by ATO_SCALE - * end - * - * Table divided by 2=ATO_SCALE <-- SF=ATO_SF - *****************************************************************************/ - FL2FXCONST_DBL(7.775862990872099e-001), FL2FXCONST_DBL(7.814919928673978e-001), FL2FXCONST_DBL(7.834450483314648e-001), - FL2FXCONST_DBL(7.844216021392089e-001), FL2FXCONST_DBL(7.849098823026687e-001), FL2FXCONST_DBL(7.851540227918509e-001), - FL2FXCONST_DBL(7.852760930873737e-001), FL2FXCONST_DBL(7.853371282415015e-001), FL2FXCONST_DBL(7.853676458193612e-001), - FL2FXCONST_DBL(7.853829046083906e-001), FL2FXCONST_DBL(7.853905340029177e-001), FL2FXCONST_DBL(7.853943487001828e-001), - FL2FXCONST_DBL(7.853962560488155e-001), FL2FXCONST_DBL(7.853972097231319e-001), FL2FXCONST_DBL(7.853976865602901e-001), - FL2FXCONST_DBL(7.853979249788692e-001), FL2FXCONST_DBL(7.853980441881587e-001), FL2FXCONST_DBL(7.853981037928035e-001), - FL2FXCONST_DBL(7.853981335951259e-001) - // pi/4 = 0.785398163397448 = pi/2/ATO_SCALE -}; -#endif - -FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x) -{ - FIXP_DBL q; - FIXP_DBL at; // atan out - FIXP_DBL at2; // atan2 out - FIXP_DBL ret = FL2FXCONST_DBL(-1.0f); - INT sf,sfo,stf; - - // --- division - - if (y > FL2FXCONST_DBL(0.0f)) - { - if (x > FL2FXCONST_DBL(0.0f)) { - q = fDivNormHighPrec( y, x, &sf); // both pos. - } - else if (x < FL2FXCONST_DBL(0.0f)) { - q = -fDivNormHighPrec( y,-x, &sf); // x neg. - } - else {//(x ==FL2FXCONST_DBL(0.0f)) - q = FL2FXCONST_DBL(+1.0f); // y/x = pos/zero = +Inf - sf = 0; - } - } - else if (y < FL2FXCONST_DBL(0.0f)) - { - if (x > FL2FXCONST_DBL(0.0f)) { - q = -fDivNormHighPrec(-y, x, &sf); // y neg. - } - else if (x < FL2FXCONST_DBL(0.0f)) { - q = fDivNormHighPrec(-y,-x, &sf); // both neg. - } - else {//(x ==FL2FXCONST_DBL(0.0f)) - q = FL2FXCONST_DBL(-1.0f); // y/x = neg/zero = -Inf - sf = 0; - } - } - else { // (y ==FL2FXCONST_DBL(0.0f)) - q = FL2FXCONST_DBL(0.0f); - sf = 0; - } - sfo = sf; - - // --- atan() - - if ( sfo > ATI_SF ) { - // --- could not calc fixp_atan() here bec of input data out of range - // ==> therefore give back boundary values - - #if IMPROVE_ATAN2_ACCURACY - if (sfo > MAXSFTAB) sfo = MAXSFTAB; - #endif - - if ( q > FL2FXCONST_DBL(0.0f) ) { - #if IMPROVE_ATAN2_ACCURACY - at = +f_atan_expand_range[sfo-ATI_SF-1]; - #else - at = FL2FXCONST_DBL( +M_PI/2 / ATO_SCALE); - #endif - } - else if ( q < FL2FXCONST_DBL(0.0f) ) { - #if IMPROVE_ATAN2_ACCURACY - at = -f_atan_expand_range[sfo-ATI_SF-1]; - #else - at = FL2FXCONST_DBL( -M_PI/2 / ATO_SCALE); - #endif - } - else { // q== FL2FXCONST_DBL(0.0f) - at = FL2FXCONST_DBL( 0.0f ); - } - }else{ - // --- calc of fixp_atan() is possible; input data within range - // ==> set q on fixed scale level as desired from fixp_atan() - stf = sfo - ATI_SF; - if (stf > 0) q = q << (INT)fMin( stf,DFRACT_BITS-1); - else q = q >> (INT)fMin(-stf,DFRACT_BITS-1); - at = fixp_atan(q); // ATO_SF - } - - // --- atan2() - - at2 = at >> (AT2O_SF - ATO_SF); // now AT2O_SF for atan2 - if ( x > FL2FXCONST_DBL(0.0f) ) { - ret = at2; - } - else if ( x < FL2FXCONST_DBL(0.0f) ) { - if ( y >= FL2FXCONST_DBL(0.0f) ) { - ret = at2 + FL2FXCONST_DBL( M_PI / AT2O_SCALE); - } else { - ret = at2 - FL2FXCONST_DBL( M_PI / AT2O_SCALE); - } - } - else { - // x == 0 - if ( y > FL2FXCONST_DBL(0.0f) ) { - ret = FL2FXCONST_DBL( +M_PI/2 / AT2O_SCALE); - } - else if ( y < FL2FXCONST_DBL(0.0f) ) { - ret = FL2FXCONST_DBL( -M_PI/2 / AT2O_SCALE); - } - else if ( y == FL2FXCONST_DBL(0.0f) ) { - ret = FL2FXCONST_DBL(0.0f); - } - } - return ret; -} - - -FIXP_DBL fixp_atan(FIXP_DBL x) -{ - INT sign; - FIXP_DBL result, temp; - - // SNR of fixp_atan() = 56 dB - FIXP_DBL ONEBY3P56 = (FIXP_DBL)0x26800000; // 1.0/3.56 in q31 - FIXP_DBL P281 = (FIXP_DBL)0x00013000; // 0.281 in q18 - FIXP_DBL ONEP571 = (FIXP_DBL)0x6487ef00; // 1.571 in q30 - - if (x < FIXP_DBL(0)) { - sign = 1; - x = - x ; - } else { - sign = 0; - } - - /* calc of arctan */ - if(x < ( Q(Q_ATANINP)-FL2FXCONST_DBL(0.00395)) ) - { - INT res_e; - - temp = fPow2(x); // q25 * q25 - (DFRACT_BITS-1) = q19 - temp = fMult(temp, ONEBY3P56); // q19 * q31 - (DFRACT_BITS-1) = q19 - temp = temp + Q(19); // q19 + q19 = q19 - result = fDivNorm(x, temp, &res_e); - result = scaleValue(result, (Q_ATANOUT-Q_ATANINP+19-DFRACT_BITS+1) + res_e ); - } - else if( x < FL2FXCONST_DBL(1.28/64.0) ) - { - FIXP_DBL delta_fix; - FIXP_DBL PI_BY_4 = FL2FXCONST_DBL(3.1415926/4.0) >> 1; /* pi/4 in q30 */ - - delta_fix = (x - FL2FXCONST_DBL(1.0/64.0)) << 5; /* q30 */ - result = PI_BY_4 + (delta_fix >> 1) - (fPow2Div2(delta_fix)); - } - else - { - INT res_e; - - temp = fPow2Div2(x); // q25 * q25 - (DFRACT_BITS-1) - 1 = q18 - temp = temp + P281; // q18 + q18 = q18 - result = fDivNorm(x, temp, &res_e); - result = scaleValue(result, (Q_ATANOUT-Q_ATANINP+18-DFRACT_BITS+1) + res_e ); - result = ONEP571 - result; // q30 + q30 = q30 - } - if (sign) { - result = -result; - } - - return(result); -} - - - -#include "FDK_tools_rom.h" - -FIXP_DBL fixp_cos(FIXP_DBL x, int scale) -{ - FIXP_DBL residual, error, sine, cosine; - - residual = fixp_sin_cos_residual_inline(x, scale, &sine, &cosine); - error = fMult(sine, residual); - - return cosine - error; -} - -FIXP_DBL fixp_sin(FIXP_DBL x, int scale) -{ - FIXP_DBL residual, error, sine, cosine; - - residual = fixp_sin_cos_residual_inline(x, scale, &sine, &cosine); - error = fMult(cosine, residual); - - return sine + error; -} - -void fixp_cos_sin (FIXP_DBL x, int scale, FIXP_DBL *cos, FIXP_DBL *sin) -{ - FIXP_DBL residual, error0, error1, sine, cosine; - - residual = fixp_sin_cos_residual_inline(x, scale, &sine, &cosine); - error0 = fMult(sine, residual); - error1 = fMult(cosine, residual); - *cos = cosine - error0; - *sin = sine + error1; -} - - - - - |