Coverage Report

Created: 2025-07-18 06:08

/src/aac/libFDK/include/x86/fixpoint_math_x86.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
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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
47
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):   Manuel Jander
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   Description: Fixed point specific mathematical functions for x86
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*******************************************************************************/
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#if !defined(FIXPOINT_MATH_X86_H)
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#define FIXPOINT_MATH_X86_H
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#define FUNCTION_sqrtFixp
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#include <math.h>
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#ifdef FUNCTION_sqrtFixp
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103M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
103M
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
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   */
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103M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
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103M
  FDK_ASSERT(result >= (FIXP_DBL)0);
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103M
  return result;
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103M
}
Unexecuted instantiation: FDK_bitbuffer.cpp:sqrtFixp(int)
FDK_decorrelate.cpp:sqrtFixp(int)
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111
94.5M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
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94.5M
  FIXP_DBL result;
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  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
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   */
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94.5M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
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94.5M
  FDK_ASSERT(result >= (FIXP_DBL)0);
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94.5M
  return result;
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94.5M
}
Unexecuted instantiation: FDK_delay.cpp:sqrtFixp(int)
Unexecuted instantiation: FDK_drcDecLib.cpp:sqrtFixp(int)
Unexecuted instantiation: FDK_hybrid.cpp:sqrtFixp(int)
Unexecuted instantiation: FDK_lpc.cpp:sqrtFixp(int)
Unexecuted instantiation: FDK_qmf_domain.cpp:sqrtFixp(int)
Unexecuted instantiation: FDK_tools_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: FDK_trigFcts.cpp:sqrtFixp(int)
Unexecuted instantiation: HFgen_preFlat.cpp:sqrtFixp(int)
Unexecuted instantiation: aacEnc_ram.cpp:sqrtFixp(int)
Unexecuted instantiation: aacEnc_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: aac_ram.cpp:sqrtFixp(int)
Unexecuted instantiation: aac_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdec_drc.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdec_hcr.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdec_hcr_bit.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdec_hcrs.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdec_pns.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdec_tns.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdecoder.cpp:sqrtFixp(int)
Unexecuted instantiation: aacdecoder_lib.cpp:sqrtFixp(int)
Unexecuted instantiation: aacenc.cpp:sqrtFixp(int)
Unexecuted instantiation: aacenc_lib.cpp:sqrtFixp(int)
Unexecuted instantiation: aacenc_pns.cpp:sqrtFixp(int)
Unexecuted instantiation: aacenc_tns.cpp:sqrtFixp(int)
Unexecuted instantiation: ac_arith_coder.cpp:sqrtFixp(int)
Unexecuted instantiation: adj_thr.cpp:sqrtFixp(int)
Unexecuted instantiation: autocorr2nd.cpp:sqrtFixp(int)
Unexecuted instantiation: band_nrg.cpp:sqrtFixp(int)
Unexecuted instantiation: bandwidth.cpp:sqrtFixp(int)
Unexecuted instantiation: bit_cnt.cpp:sqrtFixp(int)
Unexecuted instantiation: bit_sbr.cpp:sqrtFixp(int)
Unexecuted instantiation: bitenc.cpp:sqrtFixp(int)
Unexecuted instantiation: block.cpp:sqrtFixp(int)
Unexecuted instantiation: block_switch.cpp:sqrtFixp(int)
Unexecuted instantiation: channel.cpp:sqrtFixp(int)
Unexecuted instantiation: channel_map.cpp:sqrtFixp(int)
Unexecuted instantiation: channelinfo.cpp:sqrtFixp(int)
Unexecuted instantiation: chaosmeasure.cpp:sqrtFixp(int)
Unexecuted instantiation: code_env.cpp:sqrtFixp(int)
Unexecuted instantiation: conceal.cpp:sqrtFixp(int)
Unexecuted instantiation: dct.cpp:sqrtFixp(int)
Unexecuted instantiation: drcDec_gainDecoder.cpp:sqrtFixp(int)
Unexecuted instantiation: drcDec_reader.cpp:sqrtFixp(int)
Unexecuted instantiation: drcDec_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: drcDec_selectionProcess.cpp:sqrtFixp(int)
Unexecuted instantiation: drcDec_tools.cpp:sqrtFixp(int)
Unexecuted instantiation: drcGainDec_init.cpp:sqrtFixp(int)
Unexecuted instantiation: drcGainDec_preprocess.cpp:sqrtFixp(int)
Unexecuted instantiation: drcGainDec_process.cpp:sqrtFixp(int)
Unexecuted instantiation: dyn_bits.cpp:sqrtFixp(int)
Unexecuted instantiation: env_bit.cpp:sqrtFixp(int)
Unexecuted instantiation: env_calc.cpp:sqrtFixp(int)
Unexecuted instantiation: env_dec.cpp:sqrtFixp(int)
Unexecuted instantiation: env_est.cpp:sqrtFixp(int)
Unexecuted instantiation: env_extr.cpp:sqrtFixp(int)
Unexecuted instantiation: fft.cpp:sqrtFixp(int)
Unexecuted instantiation: fft_rad2.cpp:sqrtFixp(int)
Unexecuted instantiation: fixpoint_math.cpp:sqrtFixp(int)
Unexecuted instantiation: fram_gen.cpp:sqrtFixp(int)
Unexecuted instantiation: grp_data.cpp:sqrtFixp(int)
Unexecuted instantiation: hbe.cpp:sqrtFixp(int)
Unexecuted instantiation: huff_dec.cpp:sqrtFixp(int)
Unexecuted instantiation: intensity.cpp:sqrtFixp(int)
Unexecuted instantiation: invf_est.cpp:sqrtFixp(int)
Unexecuted instantiation: ldfiltbank.cpp:sqrtFixp(int)
Unexecuted instantiation: limiter.cpp:sqrtFixp(int)
Unexecuted instantiation: line_pe.cpp:sqrtFixp(int)
Unexecuted instantiation: lpp_tran.cpp:sqrtFixp(int)
Unexecuted instantiation: mdct.cpp:sqrtFixp(int)
Unexecuted instantiation: metadata_compressor.cpp:sqrtFixp(int)
Unexecuted instantiation: metadata_main.cpp:sqrtFixp(int)
Unexecuted instantiation: mh_det.cpp:sqrtFixp(int)
Unexecuted instantiation: mps_main.cpp:sqrtFixp(int)
Unexecuted instantiation: ms_stereo.cpp:sqrtFixp(int)
Unexecuted instantiation: nf_est.cpp:sqrtFixp(int)
Unexecuted instantiation: nlc_dec.cpp:sqrtFixp(int)
Unexecuted instantiation: noisedet.cpp:sqrtFixp(int)
Unexecuted instantiation: pcm_utils.cpp:sqrtFixp(int)
Unexecuted instantiation: pcmdmx_lib.cpp:sqrtFixp(int)
Unexecuted instantiation: pnsparam.cpp:sqrtFixp(int)
Unexecuted instantiation: pre_echo_control.cpp:sqrtFixp(int)
Unexecuted instantiation: ps_bitenc.cpp:sqrtFixp(int)
Unexecuted instantiation: ps_encode.cpp:sqrtFixp(int)
Unexecuted instantiation: ps_main.cpp:sqrtFixp(int)
Unexecuted instantiation: psbitdec.cpp:sqrtFixp(int)
Unexecuted instantiation: psdec.cpp:sqrtFixp(int)
Unexecuted instantiation: psdec_drm.cpp:sqrtFixp(int)
Unexecuted instantiation: psdecrom_drm.cpp:sqrtFixp(int)
Unexecuted instantiation: psy_configuration.cpp:sqrtFixp(int)
Unexecuted instantiation: psy_main.cpp:sqrtFixp(int)
Unexecuted instantiation: pulsedata.cpp:sqrtFixp(int)
Unexecuted instantiation: pvc_dec.cpp:sqrtFixp(int)
Unexecuted instantiation: qc_main.cpp:sqrtFixp(int)
Unexecuted instantiation: qmf.cpp:sqrtFixp(int)
Unexecuted instantiation: quantize.cpp:sqrtFixp(int)
Unexecuted instantiation: resampler.cpp:sqrtFixp(int)
Unexecuted instantiation: rvlc.cpp:sqrtFixp(int)
Unexecuted instantiation: rvlcbit.cpp:sqrtFixp(int)
Unexecuted instantiation: rvlcconceal.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_bitdec.cpp:sqrtFixp(int)
sac_calcM1andM2.cpp:sqrtFixp(int)
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282k
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
282k
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
282k
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
282k
  FDK_ASSERT(result >= (FIXP_DBL)0);
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282k
  return result;
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282k
}
Unexecuted instantiation: sac_dec.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_dec_conceal.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_dec_lib.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_process.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_qmf.cpp:sqrtFixp(int)
sac_reshapeBBEnv.cpp:sqrtFixp(int)
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111
5.12M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
5.12M
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
5.12M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
5.12M
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
5.12M
  return result;
119
5.12M
}
Unexecuted instantiation: sac_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_smoothing.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_stp.cpp:sqrtFixp(int)
Unexecuted instantiation: sac_tsd.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_bitstream.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_dmx_tdom_enh.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_filter.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_framewindowing.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_lib.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_nlc_enc.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_onsetdetect.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_paramextract.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_staticgain.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_tree.cpp:sqrtFixp(int)
Unexecuted instantiation: sacenc_vectorfunctions.cpp:sqrtFixp(int)
Unexecuted instantiation: sbr_deb.cpp:sqrtFixp(int)
Unexecuted instantiation: sbr_dec.cpp:sqrtFixp(int)
Unexecuted instantiation: sbr_encoder.cpp:sqrtFixp(int)
Unexecuted instantiation: sbr_misc.cpp:sqrtFixp(int)
Unexecuted instantiation: sbr_ram.cpp:sqrtFixp(int)
Unexecuted instantiation: sbr_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: sbrdec_drc.cpp:sqrtFixp(int)
Unexecuted instantiation: sbrdec_freq_sca.cpp:sqrtFixp(int)
Unexecuted instantiation: sbrdecoder.cpp:sqrtFixp(int)
Unexecuted instantiation: sbrenc_freq_sca.cpp:sqrtFixp(int)
Unexecuted instantiation: sbrenc_ram.cpp:sqrtFixp(int)
Unexecuted instantiation: sbrenc_rom.cpp:sqrtFixp(int)
Unexecuted instantiation: scale.cpp:sqrtFixp(int)
Unexecuted instantiation: sf_estim.cpp:sqrtFixp(int)
Unexecuted instantiation: spreading.cpp:sqrtFixp(int)
Unexecuted instantiation: stereo.cpp:sqrtFixp(int)
Unexecuted instantiation: ton_corr.cpp:sqrtFixp(int)
Unexecuted instantiation: tonality.cpp:sqrtFixp(int)
Unexecuted instantiation: tpdec_asc.cpp:sqrtFixp(int)
Unexecuted instantiation: tran_det.cpp:sqrtFixp(int)
Unexecuted instantiation: transform.cpp:sqrtFixp(int)
Unexecuted instantiation: usacdec_ace_d4t64.cpp:sqrtFixp(int)
Unexecuted instantiation: usacdec_ace_ltp.cpp:sqrtFixp(int)
Unexecuted instantiation: usacdec_acelp.cpp:sqrtFixp(int)
Unexecuted instantiation: usacdec_fac.cpp:sqrtFixp(int)
usacdec_lpc.cpp:sqrtFixp(int)
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2.97M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
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2.97M
  FIXP_DBL result;
113
  /* result =
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   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
2.97M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
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2.97M
  FDK_ASSERT(result >= (FIXP_DBL)0);
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2.97M
  return result;
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2.97M
}
usacdec_lpd.cpp:sqrtFixp(int)
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229k
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
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229k
  FIXP_DBL result;
113
  /* result =
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   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
229k
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
229k
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
229k
  return result;
119
229k
}
Unexecuted instantiation: usacdec_rom.cpp:sqrtFixp(int)
120
#endif /* FUNCTION_sqrtFixp */
121
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#include <math.h>
123
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#define FUNCTION_invSqrtNorm2
125
/**
126
 * \brief calculate 1.0/sqrt(op)
127
 * \param op_m mantissa of input value.
128
 * \param result_e pointer to return the exponent of the result
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 * \return mantissa of the result
130
 */
131
#ifdef FUNCTION_invSqrtNorm2
132
228M
inline FIXP_DBL invSqrtNorm2(FIXP_DBL op_m, INT *result_e) {
133
228M
  float result;
134
228M
  if (op_m == (FIXP_DBL)0) {
135
1.14M
    *result_e = 16;
136
1.14M
    return ((LONG)0x7fffffff);
137
1.14M
  }
138
227M
  result = (float)(1.0 / sqrt(0.5f * (float)(INT)op_m));
139
227M
  result = (float)ldexp(frexpf(result, result_e), DFRACT_BITS - 1);
140
227M
  *result_e += 15;
141
142
227M
  FDK_ASSERT(result >= 0);
143
227M
  return (FIXP_DBL)(INT)result;
144
227M
}
145
#endif /* FUNCTION_invSqrtNorm2 */
146
147
#define FUNCTION_invFixp
148
/**
149
 * \brief calculate 1.0/op
150
 * \param op mantissa of the input value.
151
 * \return mantissa of the result with implizit exponent of 31
152
 */
153
#ifdef FUNCTION_invFixp
154
806k
inline FIXP_DBL invFixp(FIXP_DBL op) {
155
806k
  float result;
156
806k
  INT result_e;
157
806k
  if ((op == (FIXP_DBL)0) || (op == (FIXP_DBL)1)) {
158
695
    return ((LONG)0x7fffffff);
159
695
  }
160
805k
  result = (float)(1.0 / (float)(INT)op);
161
805k
  result = frexpf(result, &result_e);
162
805k
  result = ldexpf(result, 31 + result_e);
163
164
805k
  return (FIXP_DBL)(INT)result;
165
806k
}
166
167
/**
168
 * \brief calculate 1.0/(op_m * 2^op_e)
169
 * \param op_m mantissa of the input value.
170
 * \param op_e pointer into were the exponent of the input value is stored, and
171
 * the result will be stored into.
172
 * \return mantissa of the result
173
 */
174
282k
inline FIXP_DBL invFixp(FIXP_DBL op_m, int *op_e) {
175
282k
  float result;
176
282k
  INT result_e;
177
282k
  if ((op_m == (FIXP_DBL)0x00000000) || (op_m == (FIXP_DBL)0x00000001)) {
178
0
    *op_e = 31 - *op_e;
179
0
    return ((LONG)0x7fffffff);
180
0
  }
181
282k
  result = (float)(1.0 / (float)(INT)op_m);
182
282k
  result = ldexpf(frexpf(result, &result_e), DFRACT_BITS - 1);
183
282k
  *op_e = result_e - *op_e + 31;
184
282k
  return (FIXP_DBL)(INT)result;
185
282k
}
186
#endif /* FUNCTION_invFixp */
187
188
#define FUNCTION_schur_div
189
/**
190
 * \brief Divide two FIXP_DBL values with given precision.
191
 * \param num dividend
192
 * \param denum divisor
193
 * \param count amount of significant bits of the result (starting to the MSB)
194
 * \return num/divisor
195
 */
196
#ifdef FUNCTION_schur_div
197
351M
inline FIXP_DBL schur_div(FIXP_DBL num, FIXP_DBL denum, INT count) {
198
351M
  (void)count;
199
  /* same asserts than for fallback implementation */
200
351M
  FDK_ASSERT(num >= (FIXP_DBL)0);
201
351M
  FDK_ASSERT(denum > (FIXP_DBL)0);
202
351M
  FDK_ASSERT(num <= denum);
203
204
351M
  return (num == denum) ? (FIXP_DBL)MAXVAL_DBL
205
351M
                        : (FIXP_DBL)(INT)(((INT64)(INT)num << 31) / (INT)denum);
206
351M
}
207
#endif /* FUNCTION_schur_div */
208
#endif /* !defined(FIXPOINT_MATH_X86_H) */