Coverage Report

Created: 2026-10-17 06:51

next uncovered line (L), next uncovered region (R), next uncovered branch (B)
/src/aac/libFDK/include/x86/fixpoint_math_x86.h
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1
/* -----------------------------------------------------------------------------
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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
9
that implements the MPEG Advanced Audio Coding ("AAC") encoding and decoding
10
scheme for digital audio. This FDK AAC Codec software is intended to be used on
11
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
14
general perceptual audio codecs. AAC-ELD is considered the best-performing
15
full-bandwidth communications codec by independent studies and is widely
16
deployed. AAC has been standardized by ISO and IEC as part of the MPEG
17
specifications.
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Patent licenses for necessary patent claims for the FDK AAC Codec (including
20
those of Fraunhofer) may be obtained through Via Licensing
21
(www.vialicensing.com) or through the respective patent owners individually for
22
the purpose of encoding or decoding bit streams in products that are compliant
23
with the ISO/IEC MPEG audio standards. Please note that most manufacturers of
24
Android devices already license these patent claims through Via Licensing or
25
directly from the patent owners, and therefore FDK AAC Codec software may
26
already be covered under those patent licenses when it is used for those
27
licensed purposes only.
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Commercially-licensed AAC software libraries, including floating-point versions
30
with enhanced sound quality, are also available from Fraunhofer. Users are
31
encouraged to check the Fraunhofer website for additional applications
32
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,
37
are permitted without payment of copyright license fees provided that you
38
satisfy the following conditions:
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40
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
44
and/or other materials provided with redistributions of the FDK AAC Codec or
45
your modifications thereto in binary form. You must make available free of
46
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
50
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
53
the FDK AAC Codec software or your modifications thereto.
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55
Your modified versions of the FDK AAC Codec must carry prominent notices stating
56
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"
58
must be replaced by the term "Third-Party Modified Version of the Fraunhofer FDK
59
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
66
software.
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You may use this FDK AAC Codec software or modifications thereto only for
69
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
100
101
*******************************************************************************/
102
103
#if !defined(FIXPOINT_MATH_X86_H)
104
#define FIXPOINT_MATH_X86_H
105
106
#define FUNCTION_sqrtFixp
107
108
#include <math.h>
109
110
#ifdef FUNCTION_sqrtFixp
111
73.5M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
73.5M
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
73.5M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
73.5M
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
73.5M
  return result;
119
73.5M
}
Unexecuted instantiation: FDK_bitbuffer.cpp:sqrtFixp(int)
FDK_decorrelate.cpp:sqrtFixp(int)
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Source
111
65.9M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
65.9M
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
65.9M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
65.9M
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
65.9M
  return result;
119
65.9M
}
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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111
244k
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
244k
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
244k
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
244k
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
244k
  return result;
119
244k
}
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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Source
111
3.69M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
3.69M
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
3.69M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
3.69M
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
3.69M
  return result;
119
3.69M
}
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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Source
111
3.37M
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
3.37M
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
3.37M
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
3.37M
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
3.37M
  return result;
119
3.37M
}
usacdec_lpd.cpp:sqrtFixp(int)
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111
221k
static inline FIXP_DBL sqrtFixp(const FIXP_DBL op) {
112
221k
  FIXP_DBL result;
113
  /* result =
114
   * (FIXP_DBL)(INT)(sqrt((double)(INT)op)*46340.950011841578559133736114903);
115
   */
116
221k
  result = (FIXP_DBL)(INT)(sqrt((float)(INT)op) * 46340.9492f);
117
221k
  FDK_ASSERT(result >= (FIXP_DBL)0);
118
221k
  return result;
119
221k
}
Unexecuted instantiation: usacdec_rom.cpp:sqrtFixp(int)
120
#endif /* FUNCTION_sqrtFixp */
121
122
#include <math.h>
123
124
#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
129
 * \return mantissa of the result
130
 */
131
#ifdef FUNCTION_invSqrtNorm2
132
167M
inline FIXP_DBL invSqrtNorm2(FIXP_DBL op_m, INT *result_e) {
133
167M
  float result;
134
167M
  if (op_m == (FIXP_DBL)0) {
135
273k
    *result_e = 16;
136
273k
    return ((LONG)0x7fffffff);
137
273k
  }
138
166M
  result = (float)(1.0 / sqrt(0.5f * (float)(INT)op_m));
139
166M
  result = (float)ldexp(frexpf(result, result_e), DFRACT_BITS - 1);
140
166M
  *result_e += 15;
141
142
166M
  FDK_ASSERT(result >= 0);
143
166M
  return (FIXP_DBL)(INT)result;
144
166M
}
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
767k
inline FIXP_DBL invFixp(FIXP_DBL op) {
155
767k
  float result;
156
767k
  INT result_e;
157
767k
  if ((op == (FIXP_DBL)0) || (op == (FIXP_DBL)1)) {
158
1.77k
    return ((LONG)0x7fffffff);
159
1.77k
  }
160
766k
  result = (float)(1.0 / (float)(INT)op);
161
766k
  result = frexpf(result, &result_e);
162
766k
  result = ldexpf(result, 31 + result_e);
163
164
766k
  return (FIXP_DBL)(INT)result;
165
767k
}
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
244k
inline FIXP_DBL invFixp(FIXP_DBL op_m, int *op_e) {
175
244k
  float result;
176
244k
  INT result_e;
177
244k
  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
244k
  result = (float)(1.0 / (float)(INT)op_m);
182
244k
  result = ldexpf(frexpf(result, &result_e), DFRACT_BITS - 1);
183
244k
  *op_e = result_e - *op_e + 31;
184
244k
  return (FIXP_DBL)(INT)result;
185
244k
}
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
270M
inline FIXP_DBL schur_div(FIXP_DBL num, FIXP_DBL denum, INT count) {
198
270M
  (void)count;
199
  /* same asserts than for fallback implementation */
200
270M
  FDK_ASSERT(num >= (FIXP_DBL)0);
201
270M
  FDK_ASSERT(denum > (FIXP_DBL)0);
202
270M
  FDK_ASSERT(num <= denum);
203
204
270M
  return (num == denum) ? (FIXP_DBL)MAXVAL_DBL
205
270M
                        : (FIXP_DBL)(INT)(((INT64)(INT)num << 31) / (INT)denum);
206
270M
}
207
#endif /* FUNCTION_schur_div */
208
#endif /* !defined(FIXPOINT_MATH_X86_H) */