libFDK/include/FDK_trigFcts.h - platform/external/aac - Git at Google


 /* -----------------------------------------------------------------------------------------------------------
 Software License for The Fraunhofer FDK AAC Codec Library for Android

 © Copyright  1995 - 2012 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 "common_fix.h"

 #include "FDK_tools_rom.h"

 /* Fixed point precision definitions */
 #define Q(format)        ((FIXP_DBL)(((LONG)1) << (format)))

 #ifndef M_PI
 #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_DBL fixp_atan(FIXP_DBL x);
 FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x);

 FIXP_DBL fixp_cos(FIXP_DBL x, int scale);
 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

 /*
  * 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;
     }

     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));
 #else
       *sine   = (FIXP_DBL)(sl * ssign);
       *cosine = (FIXP_DBL)(cl * csign);
 #endif
     }

     return residual;
 }

 /**
  * \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.
  */
 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);
 }
 #endif

	/* -----------------------------------------------------------------------------------------------------------
	Software License for The Fraunhofer FDK AAC Codec Library for Android

	© Copyright 1995 - 2012 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 "common_fix.h"

	#include "FDK_tools_rom.h"

	/* Fixed point precision definitions */
	#define Q(format) ((FIXP_DBL)(((LONG)1) << (format)))

	#ifndef M_PI
	#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_DBL fixp_atan(FIXP_DBL x);
	FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x);

	FIXP_DBL fixp_cos(FIXP_DBL x, int scale);
	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

	/*
	* 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;
	}

	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));
	#else
	sine = (FIXP_DBL)(sl ssign);
	cosine = (FIXP_DBL)(cl csign);
	#endif
	}

	return residual;
	}

	/**
	* \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.
	*/
	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);
	}
	#endif