android / platform / external / aac / ce97e7d55e1f69683b5bc8f19cc8da8c85bc2cd4 / . / libFDK / include / FDK_trigFcts.h

/* ----------------------------------------------------------------------------- | |

Software License for The Fraunhofer FDK AAC Codec Library for Android | |

© 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. | |

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 | |

----------------------------------------------------------------------------- */ | |

/******************* Library for basic calculation routines ******************** | |

Author(s): Haricharan Lakshman, Manuel Jander | |

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))) | |

#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 | |

/* 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; | |

} | |

/** | |

* \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); | |

#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) */ |