Coverage Report

Created: 2023-03-26 06:13

/src/aac/libFDK/include/FDK_trigFcts.h
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/* -----------------------------------------------------------------------------
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Software License for The Fraunhofer FDK AAC Codec Library for Android
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© Copyright  1995 - 2018 Fraunhofer-Gesellschaft zur Förderung der angewandten
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Forschung e.V. All rights reserved.
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 1.    INTRODUCTION
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The Fraunhofer FDK AAC Codec Library for Android ("FDK AAC Codec") is software
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that implements the MPEG Advanced Audio Coding ("AAC") encoding and decoding
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scheme for digital audio. This FDK AAC Codec software is intended to be used on
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a wide variety of Android devices.
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AAC's HE-AAC and HE-AAC v2 versions are regarded as today's most efficient
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general perceptual audio codecs. AAC-ELD is considered the best-performing
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full-bandwidth communications codec by independent studies and is widely
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deployed. AAC has been standardized by ISO and IEC as part of the MPEG
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specifications.
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Patent licenses for necessary patent claims for the FDK AAC Codec (including
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those of Fraunhofer) may be obtained through Via Licensing
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(www.vialicensing.com) or through the respective patent owners individually for
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the purpose of encoding or decoding bit streams in products that are compliant
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with the ISO/IEC MPEG audio standards. Please note that most manufacturers of
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Android devices already license these patent claims through Via Licensing or
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directly from the patent owners, and therefore FDK AAC Codec software may
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already be covered under those patent licenses when it is used for those
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licensed purposes only.
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Commercially-licensed AAC software libraries, including floating-point versions
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with enhanced sound quality, are also available from Fraunhofer. Users are
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encouraged to check the Fraunhofer website for additional applications
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information and documentation.
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2.    COPYRIGHT LICENSE
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Redistribution and use in source and binary forms, with or without modification,
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are permitted without payment of copyright license fees provided that you
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satisfy the following conditions:
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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.
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You must retain the complete text of this software license in the documentation
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and/or other materials provided with redistributions of the FDK AAC Codec or
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your modifications thereto in binary form. You must make available free of
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charge copies of the complete source code of the FDK AAC Codec and your
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modifications thereto to recipients of copies in binary form.
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The name of Fraunhofer may not be used to endorse or promote products derived
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from this library without prior written permission.
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You may not charge copyright license fees for anyone to use, copy or distribute
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the FDK AAC Codec software or your modifications thereto.
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Your modified versions of the FDK AAC Codec must carry prominent notices stating
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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"
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must be replaced by the term "Third-Party Modified Version of the Fraunhofer FDK
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AAC Codec Library for Android."
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3.    NO PATENT LICENSE
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NO EXPRESS OR IMPLIED LICENSES TO ANY PATENT CLAIMS, including without
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limitation the patents of Fraunhofer, ARE GRANTED BY THIS SOFTWARE LICENSE.
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Fraunhofer provides no warranty of patent non-infringement with respect to this
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software.
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You may use this FDK AAC Codec software or modifications thereto only for
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purposes that are authorized by appropriate patent licenses.
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4.    DISCLAIMER
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This FDK AAC Codec software is provided by Fraunhofer on behalf of the copyright
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holders and contributors "AS IS" and WITHOUT ANY EXPRESS OR IMPLIED WARRANTIES,
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including but not limited to the implied warranties of merchantability and
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fitness for a particular purpose. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR
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CONTRIBUTORS BE LIABLE for any direct, indirect, incidental, special, exemplary,
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or consequential damages, including but not limited to procurement of substitute
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goods or services; loss of use, data, or profits, or business interruption,
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however caused and on any theory of liability, whether in contract, strict
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liability, or tort (including negligence), arising in any way out of the use of
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this software, even if advised of the possibility of such damage.
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5.    CONTACT INFORMATION
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Fraunhofer Institute for Integrated Circuits IIS
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Attention: Audio and Multimedia Departments - FDK AAC LL
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Am Wolfsmantel 33
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91058 Erlangen, Germany
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www.iis.fraunhofer.de/amm
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amm-info@iis.fraunhofer.de
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----------------------------------------------------------------------------- */
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/******************* Library for basic calculation routines ********************
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   Author(s):   Haricharan Lakshman, Manuel Jander
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   Description: Trigonometric functions fixed point fractional implementation.
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*******************************************************************************/
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#if !defined(FDK_TRIGFCTS_H)
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#define FDK_TRIGFCTS_H
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#include "common_fix.h"
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#include "FDK_tools_rom.h"
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/* Fixed point precision definitions */
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#define Q(format) ((FIXP_DBL)(((LONG)1) << (format)))
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#ifndef M_PI
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#define M_PI (3.14159265358979323846f)
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#endif
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/*!
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 * Inverse tangent function.
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 */
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/* --- fixp_atan() ----    */
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0
#define Q_ATANINP (25)  // Input in q25, Output in q30
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0
#define Q_ATANOUT (30)
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0
#define ATI_SF ((DFRACT_BITS - 1) - Q_ATANINP) /* 6  */
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#define ATI_SCALE ((float)(1 << ATI_SF))
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0
#define ATO_SF ((DFRACT_BITS - 1) - Q_ATANOUT) /* 1   ] -pi/2 .. pi/2 [ */
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#define ATO_SCALE ((float)(1 << ATO_SF))
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/* --- fixp_atan2() ---    */
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0
#define Q_ATAN2OUT (29)
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0
#define AT2O_SF ((DFRACT_BITS - 1) - Q_ATAN2OUT) /* 2   ] -pi   .. pi   ] */
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#define AT2O_SCALE ((float)(1 << AT2O_SF))
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// --------------------
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FIXP_DBL fixp_atan(FIXP_DBL x);
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FIXP_DBL fixp_atan2(FIXP_DBL y, FIXP_DBL x);
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FIXP_DBL fixp_cos(FIXP_DBL x, int scale);
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FIXP_DBL fixp_sin(FIXP_DBL x, int scale);
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#define FIXP_COS_SIN
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#include "FDK_tools_rom.h"
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18.4M
#define SINETAB SineTable512
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136M
#define LD 9
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#ifndef FUNCTION_inline_fixp_cos_sin
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#define FUNCTION_inline_fixp_cos_sin
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/*
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 * Calculates coarse lookup index and sign for sine.
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 * Returns delta x residual.
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 */
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static inline FIXP_DBL fixp_sin_cos_residual_inline(FIXP_DBL x, int scale,
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                                                    FIXP_DBL *sine,
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18.4M
                                                    FIXP_DBL *cosine) {
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18.4M
  FIXP_DBL residual;
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18.4M
  int s;
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18.4M
  int shift = (31 - scale - LD - 1);
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18.4M
  int ssign = 1;
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18.4M
  int csign = 1;
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18.4M
  residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI));
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18.4M
  s = ((LONG)residual) >> shift;
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18.4M
  residual &= ((1 << shift) - 1);
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18.4M
  residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2;
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18.4M
  residual <<= scale;
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  /* Sine sign symmetry */
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18.4M
  if (s & ((1 << LD) << 1)) {
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633k
    ssign = -ssign;
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633k
  }
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  /* Cosine sign symmetry */
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18.4M
  if ((s + (1 << LD)) & ((1 << LD) << 1)) {
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3.24M
    csign = -csign;
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3.24M
  }
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18.4M
  s = fAbs(s);
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18.4M
  s &= (((1 << LD) << 1) - 1); /* Modulo PI */
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18.4M
  if (s > (1 << LD)) {
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3.60M
    s = ((1 << LD) << 1) - s;
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3.60M
  }
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18.4M
  {
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18.4M
    LONG sl, cl;
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    /* Because of packed table */
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18.4M
    if (s > (1 << (LD - 1))) {
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3.64M
      FIXP_STP tmp;
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      /* Cosine/Sine simetry for angles greater than PI/4 */
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3.64M
      s = (1 << LD) - s;
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3.64M
      tmp = SINETAB[s];
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3.64M
      sl = (LONG)tmp.v.re;
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3.64M
      cl = (LONG)tmp.v.im;
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14.8M
    } else {
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14.8M
      FIXP_STP tmp;
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14.8M
      tmp = SINETAB[s];
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14.8M
      sl = (LONG)tmp.v.im;
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14.8M
      cl = (LONG)tmp.v.re;
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14.8M
    }
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18.4M
#ifdef SINETABLE_16BIT
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18.4M
    *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS));
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18.4M
    *cosine = (FIXP_DBL)((cl * csign) << (DFRACT_BITS - FRACT_BITS));
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#else
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    /* scale down by 1 for overflow prevention. This is undone at the calling
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     * function. */
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    *sine = (FIXP_DBL)(sl * ssign) >> 1;
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    *cosine = (FIXP_DBL)(cl * csign) >> 1;
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#endif
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18.4M
  }
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18.4M
  return residual;
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18.4M
}
FDK_trigFcts.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
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157
6.48M
                                                    FIXP_DBL *cosine) {
158
6.48M
  FIXP_DBL residual;
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6.48M
  int s;
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6.48M
  int shift = (31 - scale - LD - 1);
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6.48M
  int ssign = 1;
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6.48M
  int csign = 1;
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6.48M
  residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI));
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6.48M
  s = ((LONG)residual) >> shift;
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6.48M
  residual &= ((1 << shift) - 1);
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6.48M
  residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2;
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6.48M
  residual <<= scale;
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  /* Sine sign symmetry */
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6.48M
  if (s & ((1 << LD) << 1)) {
173
0
    ssign = -ssign;
174
0
  }
175
  /* Cosine sign symmetry */
176
6.48M
  if ((s + (1 << LD)) & ((1 << LD) << 1)) {
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3.11M
    csign = -csign;
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3.11M
  }
179
180
6.48M
  s = fAbs(s);
181
182
6.48M
  s &= (((1 << LD) << 1) - 1); /* Modulo PI */
183
184
6.48M
  if (s > (1 << LD)) {
185
3.11M
    s = ((1 << LD) << 1) - s;
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3.11M
  }
187
188
6.48M
  {
189
6.48M
    LONG sl, cl;
190
    /* Because of packed table */
191
6.48M
    if (s > (1 << (LD - 1))) {
192
3.35M
      FIXP_STP tmp;
193
      /* Cosine/Sine simetry for angles greater than PI/4 */
194
3.35M
      s = (1 << LD) - s;
195
3.35M
      tmp = SINETAB[s];
196
3.35M
      sl = (LONG)tmp.v.re;
197
3.35M
      cl = (LONG)tmp.v.im;
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3.35M
    } else {
199
3.13M
      FIXP_STP tmp;
200
3.13M
      tmp = SINETAB[s];
201
3.13M
      sl = (LONG)tmp.v.im;
202
3.13M
      cl = (LONG)tmp.v.re;
203
3.13M
    }
204
205
6.48M
#ifdef SINETABLE_16BIT
206
6.48M
    *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS));
207
6.48M
    *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
6.48M
  }
215
216
6.48M
  return residual;
217
6.48M
}
Unexecuted instantiation: block.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
psdec.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
Line
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Source
157
374k
                                                    FIXP_DBL *cosine) {
158
374k
  FIXP_DBL residual;
159
374k
  int s;
160
374k
  int shift = (31 - scale - LD - 1);
161
374k
  int ssign = 1;
162
374k
  int csign = 1;
163
164
374k
  residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI));
165
374k
  s = ((LONG)residual) >> shift;
166
167
374k
  residual &= ((1 << shift) - 1);
168
374k
  residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2;
169
374k
  residual <<= scale;
170
171
  /* Sine sign symmetry */
172
374k
  if (s & ((1 << LD) << 1)) {
173
27.2k
    ssign = -ssign;
174
27.2k
  }
175
  /* Cosine sign symmetry */
176
374k
  if ((s + (1 << LD)) & ((1 << LD) << 1)) {
177
6.89k
    csign = -csign;
178
6.89k
  }
179
180
374k
  s = fAbs(s);
181
182
374k
  s &= (((1 << LD) << 1) - 1); /* Modulo PI */
183
184
374k
  if (s > (1 << LD)) {
185
6.41k
    s = ((1 << LD) << 1) - s;
186
6.41k
  }
187
188
374k
  {
189
374k
    LONG sl, cl;
190
    /* Because of packed table */
191
374k
    if (s > (1 << (LD - 1))) {
192
11.9k
      FIXP_STP tmp;
193
      /* Cosine/Sine simetry for angles greater than PI/4 */
194
11.9k
      s = (1 << LD) - s;
195
11.9k
      tmp = SINETAB[s];
196
11.9k
      sl = (LONG)tmp.v.re;
197
11.9k
      cl = (LONG)tmp.v.im;
198
362k
    } else {
199
362k
      FIXP_STP tmp;
200
362k
      tmp = SINETAB[s];
201
362k
      sl = (LONG)tmp.v.im;
202
362k
      cl = (LONG)tmp.v.re;
203
362k
    }
204
205
374k
#ifdef SINETABLE_16BIT
206
374k
    *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS));
207
374k
    *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
374k
  }
215
216
374k
  return residual;
217
374k
}
Unexecuted instantiation: psy_configuration.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
Unexecuted instantiation: qmf.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
Unexecuted instantiation: sac_calcM1andM2.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
Unexecuted instantiation: sac_dec.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
sac_process.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
Line
Count
Source
157
11.6M
                                                    FIXP_DBL *cosine) {
158
11.6M
  FIXP_DBL residual;
159
11.6M
  int s;
160
11.6M
  int shift = (31 - scale - LD - 1);
161
11.6M
  int ssign = 1;
162
11.6M
  int csign = 1;
163
164
11.6M
  residual = fMult(x, FL2FXCONST_DBL(1.0 / M_PI));
165
11.6M
  s = ((LONG)residual) >> shift;
166
167
11.6M
  residual &= ((1 << shift) - 1);
168
11.6M
  residual = fMult(residual, FL2FXCONST_DBL(M_PI / 4.0)) << 2;
169
11.6M
  residual <<= scale;
170
171
  /* Sine sign symmetry */
172
11.6M
  if (s & ((1 << LD) << 1)) {
173
606k
    ssign = -ssign;
174
606k
  }
175
  /* Cosine sign symmetry */
176
11.6M
  if ((s + (1 << LD)) & ((1 << LD) << 1)) {
177
124k
    csign = -csign;
178
124k
  }
179
180
11.6M
  s = fAbs(s);
181
182
11.6M
  s &= (((1 << LD) << 1) - 1); /* Modulo PI */
183
184
11.6M
  if (s > (1 << LD)) {
185
490k
    s = ((1 << LD) << 1) - s;
186
490k
  }
187
188
11.6M
  {
189
11.6M
    LONG sl, cl;
190
    /* Because of packed table */
191
11.6M
    if (s > (1 << (LD - 1))) {
192
283k
      FIXP_STP tmp;
193
      /* Cosine/Sine simetry for angles greater than PI/4 */
194
283k
      s = (1 << LD) - s;
195
283k
      tmp = SINETAB[s];
196
283k
      sl = (LONG)tmp.v.re;
197
283k
      cl = (LONG)tmp.v.im;
198
11.3M
    } else {
199
11.3M
      FIXP_STP tmp;
200
11.3M
      tmp = SINETAB[s];
201
11.3M
      sl = (LONG)tmp.v.im;
202
11.3M
      cl = (LONG)tmp.v.re;
203
11.3M
    }
204
205
11.6M
#ifdef SINETABLE_16BIT
206
11.6M
    *sine = (FIXP_DBL)((sl * ssign) << (DFRACT_BITS - FRACT_BITS));
207
11.6M
    *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
11.6M
  }
215
216
11.6M
  return residual;
217
11.6M
}
Unexecuted instantiation: sacenc_dmx_tdom_enh.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
Unexecuted instantiation: usacdec_lpc.cpp:fixp_sin_cos_residual_inline(int, int, int*, int*)
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
5.99M
                                       const int scale, FIXP_DBL *out) {
230
5.99M
  FIXP_DBL residual, error0, error1, sine, cosine;
231
5.99M
  residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine);
232
5.99M
  error0 = fMultDiv2(sine, residual);
233
5.99M
  error1 = fMultDiv2(cosine, residual);
234
235
5.99M
#ifdef SINETABLE_16BIT
236
5.99M
  *out++ = cosine - (error0 << 1);
237
5.99M
  *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
5.99M
  residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine);
245
5.99M
  error0 = fMultDiv2(sine, residual);
246
5.99M
  error1 = fMultDiv2(cosine, residual);
247
248
5.99M
#ifdef SINETABLE_16BIT
249
5.99M
  *out++ = cosine - (error0 << 1);
250
5.99M
  *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
5.99M
}
Unexecuted instantiation: FDK_trigFcts.cpp:inline_fixp_cos_sin(int, int, int, int*)
Unexecuted instantiation: block.cpp:inline_fixp_cos_sin(int, int, int, int*)
psdec.cpp:inline_fixp_cos_sin(int, int, int, int*)
Line
Count
Source
229
187k
                                       const int scale, FIXP_DBL *out) {
230
187k
  FIXP_DBL residual, error0, error1, sine, cosine;
231
187k
  residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine);
232
187k
  error0 = fMultDiv2(sine, residual);
233
187k
  error1 = fMultDiv2(cosine, residual);
234
235
187k
#ifdef SINETABLE_16BIT
236
187k
  *out++ = cosine - (error0 << 1);
237
187k
  *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
187k
  residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine);
245
187k
  error0 = fMultDiv2(sine, residual);
246
187k
  error1 = fMultDiv2(cosine, residual);
247
248
187k
#ifdef SINETABLE_16BIT
249
187k
  *out++ = cosine - (error0 << 1);
250
187k
  *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
187k
}
Unexecuted instantiation: psy_configuration.cpp:inline_fixp_cos_sin(int, int, int, int*)
Unexecuted instantiation: qmf.cpp:inline_fixp_cos_sin(int, int, int, int*)
Unexecuted instantiation: sac_calcM1andM2.cpp:inline_fixp_cos_sin(int, int, int, int*)
Unexecuted instantiation: sac_dec.cpp:inline_fixp_cos_sin(int, int, int, int*)
sac_process.cpp:inline_fixp_cos_sin(int, int, int, int*)
Line
Count
Source
229
5.81M
                                       const int scale, FIXP_DBL *out) {
230
5.81M
  FIXP_DBL residual, error0, error1, sine, cosine;
231
5.81M
  residual = fixp_sin_cos_residual_inline(x1, scale, &sine, &cosine);
232
5.81M
  error0 = fMultDiv2(sine, residual);
233
5.81M
  error1 = fMultDiv2(cosine, residual);
234
235
5.81M
#ifdef SINETABLE_16BIT
236
5.81M
  *out++ = cosine - (error0 << 1);
237
5.81M
  *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
5.81M
  residual = fixp_sin_cos_residual_inline(x2, scale, &sine, &cosine);
245
5.81M
  error0 = fMultDiv2(sine, residual);
246
5.81M
  error1 = fMultDiv2(cosine, residual);
247
248
5.81M
#ifdef SINETABLE_16BIT
249
5.81M
  *out++ = cosine - (error0 << 1);
250
5.81M
  *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
5.81M
}
Unexecuted instantiation: sacenc_dmx_tdom_enh.cpp:inline_fixp_cos_sin(int, int, int, int*)
Unexecuted instantiation: usacdec_lpc.cpp:inline_fixp_cos_sin(int, int, int, int*)
256
#endif
257
258
#endif /* !defined(FDK_TRIGFCTS_H) */