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-
-/* -----------------------------------------------------------------------------------------------------------
-Software License for The Fraunhofer FDK AAC Codec Library for Android
-
-© Copyright 1995 - 2013 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
------------------------------------------------------------------------------------------------------------ */
-
-/*!
- \file dct.cpp
- \brief DCT Implementations
- Library functions to calculate standard DCTs. This will most likely be replaced by hand-optimized
- functions for the specific target processor.
-
- Three different implementations of the dct type II and the dct type III transforms are provided.
-
- By default implementations which are based on a single, standard complex FFT-kernel are used (dctII_f() and dctIII_f()).
- These are specifically helpful in cases where optimized FFT libraries are already available. The FFT used in these
- implementation is FFT rad2 from FDK_tools.
-
- Of course, one might also use DCT-libraries should they be available. The DCT and DST
- type IV implementations are only available in a version based on a complex FFT kernel.
-*/
-
-#include "dct.h"
-
-
-#include "FDK_tools_rom.h"
-#include "fft.h"
-
-
-#if defined(__arm__)
-#include "arm/dct_arm.cpp"
-#endif
-
-
-#if !defined(FUNCTION_dct_III)
-void dct_III(FIXP_DBL *pDat, /*!< pointer to input/output */
- FIXP_DBL *tmp, /*!< pointer to temporal working buffer */
- int L, /*!< lenght of transform */
- int *pDat_e
- )
-{
- FDK_ASSERT(L == 64 || L == 32);
- int i;
- FIXP_DBL xr, accu1, accu2;
- int inc;
- int M = L>>1;
- int ld_M;
-
- if (L == 64) ld_M = 5;
- else ld_M = 4;
-
- /* This loop performs multiplication for index i (i*inc) */
- inc = (64/2) >> ld_M; /* 64/L */
-
- FIXP_DBL *pTmp_0 = &tmp[2];
- FIXP_DBL *pTmp_1 = &tmp[(M-1)*2];
-
- for(i=1; i<M>>1; i++,pTmp_0+=2,pTmp_1-=2) {
-
- FIXP_DBL accu3,accu4,accu5,accu6;
-
- cplxMultDiv2(&accu2, &accu1, pDat[L - i], pDat[i], sin_twiddle_L64[i*inc]);
- cplxMultDiv2(&accu4, &accu3, pDat[M+i], pDat[M-i], sin_twiddle_L64[(M-i)*inc]);
- accu3 >>= 1; accu4 >>= 1;
-
- /* This method is better for ARM926, that uses operand2 shifted right by 1 always */
- cplxMultDiv2(&accu6, &accu5, (accu3 - (accu1>>1)), ((accu2>>1) + accu4), sin_twiddle_L64[(4*i)*inc]);
- xr = (accu1>>1) + accu3;
- pTmp_0[0] = (xr>>1) - accu5;
- pTmp_1[0] = (xr>>1) + accu5;
-
- xr = (accu2>>1) - accu4;
- pTmp_0[1] = (xr>>1) - accu6;
- pTmp_1[1] = -((xr>>1) + accu6);
-
- }
-
- xr = fMultDiv2(pDat[M], sin_twiddle_L64[64/2].v.re );/* cos((PI/(2*L))*M); */
- tmp[0] = ((pDat[0]>>1) + xr)>>1;
- tmp[1] = ((pDat[0]>>1) - xr)>>1;
-
- cplxMultDiv2(&accu2, &accu1, pDat[L - (M/2)], pDat[M/2], sin_twiddle_L64[64/4]);
- tmp[M] = accu1>>1;
- tmp[M+1] = accu2>>1;
-
- /* dit_fft expects 1 bit scaled input values */
- fft(M, tmp, pDat_e);
-
- /* ARM926: 12 cycles per 2-iteration, no overhead code by compiler */
- pTmp_1 = &tmp[L];
- for (i = M>>1; i--;)
- {
- FIXP_DBL tmp1, tmp2, tmp3, tmp4;
- tmp1 = *tmp++;
- tmp2 = *tmp++;
- tmp3 = *--pTmp_1;
- tmp4 = *--pTmp_1;
- *pDat++ = tmp1;
- *pDat++ = tmp3;
- *pDat++ = tmp2;
- *pDat++ = tmp4;
- }
-
- *pDat_e += 2;
-}
-#endif
-
-#if !defined(FUNCTION_dct_II)
-void dct_II(FIXP_DBL *pDat, /*!< pointer to input/output */
- FIXP_DBL *tmp, /*!< pointer to temporal working buffer */
- int L, /*!< lenght of transform */
- int *pDat_e
- )
-{
- FDK_ASSERT(L == 64 || L == 32);
- FIXP_DBL accu1,accu2;
- FIXP_DBL *pTmp_0, *pTmp_1;
-
- int i;
- int inc;
- int M = L>>1;
- int ld_M;
-
- FDK_ASSERT(L == 64 || L == 32);
- ld_M = 4 + (L >> 6); /* L=64: 5, L=32: 4 */
-
- inc = (64/2) >> ld_M; /* L=64: 1, L=32: 2 */
-
- FIXP_DBL *pdat = &pDat[0];
- FIXP_DBL accu3, accu4;
- pTmp_0 = &tmp[0];
- pTmp_1 = &tmp[L-1];
- for (i = M>>1; i--; )
- {
- accu1 = *pdat++;
- accu2 = *pdat++;
- accu3 = *pdat++;
- accu4 = *pdat++;
- accu1 >>= 1;
- accu2 >>= 1;
- accu3 >>= 1;
- accu4 >>= 1;
- *pTmp_0++ = accu1;
- *pTmp_0++ = accu3;
- *pTmp_1-- = accu2;
- *pTmp_1-- = accu4;
- }
-
-
- fft(M, tmp, pDat_e);
-
- pTmp_0 = &tmp[2];
- pTmp_1 = &tmp[(M-1)*2];
-
- for (i=1; i<M>>1; i++,pTmp_0+=2,pTmp_1-=2) {
-
- FIXP_DBL a1,a2;
- FIXP_DBL accu3, accu4;
-
- a1 = ((pTmp_0[1]>>1) + (pTmp_1[1]>>1));
- a2 = ((pTmp_1[0]>>1) - (pTmp_0[0]>>1));
-
- cplxMultDiv2(&accu1, &accu2, a2, a1, sin_twiddle_L64[(4*i)*inc]);
- accu1<<=1; accu2<<=1;
-
- a1 = ((pTmp_0[0]>>1) + (pTmp_1[0]>>1));
- a2 = ((pTmp_0[1]>>1) - (pTmp_1[1]>>1));
-
- cplxMultDiv2(&accu3, &accu4, (a1 + accu2), -(accu1 + a2), sin_twiddle_L64[i*inc]);
- pDat[L - i] = accu4;
- pDat[i] = accu3;
-
- cplxMultDiv2(&accu3, &accu4, (a1 - accu2), -(accu1 - a2), sin_twiddle_L64[(M-i)*inc]);
- pDat[M + i] = accu4;
- pDat[M - i] = accu3;
-
- }
-
- cplxMultDiv2(&accu1, &accu2, tmp[M], tmp[M+1], sin_twiddle_L64[(M/2)*inc]);
- pDat[L - (M/2)] = accu2;
- pDat[M/2] = accu1;
-
- pDat[0] = (tmp[0]>>1)+(tmp[1]>>1);
- pDat[M] = fMult(((tmp[0]>>1)-(tmp[1]>>1)), sin_twiddle_L64[64/2].v.re);/* cos((PI/(2*L))*M); */
-
- *pDat_e += 2;
-}
-#endif
-
-static
-void getTables(const FIXP_WTP **twiddle, const FIXP_STP **sin_twiddle, int *sin_step, int length)
-{
- int ld2_length;
-
- /* Get ld2 of length - 2 + 1
- -2: because first table entry is window of size 4
- +1: because we already include +1 because of ceil(log2(length)) */
- ld2_length = DFRACT_BITS-1-fNormz((FIXP_DBL)length) - 1;
-
- /* Extract sort of "eigenvalue" (the 4 left most bits) of length. */
- switch ( (length) >> (ld2_length-1) ) {
- case 0x4: /* radix 2 */
- *sin_twiddle = SineTable512;
- *sin_step = 1<<(9 - ld2_length);
- *twiddle = windowSlopes[0][0][ld2_length-1];
- break;
- case 0x7: /* 10 ms */
- *sin_twiddle = SineTable480;
- *sin_step = 1<<(8 - ld2_length);
- *twiddle = windowSlopes[0][1][ld2_length];
- break;
- default:
- *sin_twiddle = NULL;
- *sin_step = 0;
- *twiddle = NULL;
- break;
- }
-
- FDK_ASSERT(*twiddle != NULL);
-
- FDK_ASSERT(*sin_step > 0);
-
-}
-
-#if !defined(FUNCTION_dct_IV)
-
-void dct_IV(FIXP_DBL *pDat,
- int L,
- int *pDat_e)
-{
- int sin_step = 0;
- int M = L >> 1;
-
- const FIXP_WTP *twiddle;
- const FIXP_STP *sin_twiddle;
-
- FDK_ASSERT(L >= 4);
-
- getTables(&twiddle, &sin_twiddle, &sin_step, L);
-
-#ifdef FUNCTION_dct_IV_func1
- if (M>=4 && (M&3) == 0) {
- /* ARM926: 44 cycles for 2 iterations = 22 cycles/iteration */
- dct_IV_func1(M>>2, twiddle, &pDat[0], &pDat[L-1]);
- } else
-#endif /* FUNCTION_dct_IV_func1 */
- {
- FIXP_DBL *RESTRICT pDat_0 = &pDat[0];
- FIXP_DBL *RESTRICT pDat_1 = &pDat[L - 2];
- register int i;
-
- /* 29 cycles on ARM926 */
- for (i = 0; i < M-1; i+=2,pDat_0+=2,pDat_1-=2)
- {
- register FIXP_DBL accu1,accu2,accu3,accu4;
-
- accu1 = pDat_1[1]; accu2 = pDat_0[0];
- accu3 = pDat_0[1]; accu4 = pDat_1[0];
-
- cplxMultDiv2(&accu1, &accu2, accu1, accu2, twiddle[i]);
- cplxMultDiv2(&accu3, &accu4, accu4, accu3, twiddle[i+1]);
-
- pDat_0[0] = accu2; pDat_0[1] = accu1;
- pDat_1[0] = accu4; pDat_1[1] = -accu3;
- }
- if (M&1)
- {
- register FIXP_DBL accu1,accu2;
-
- accu1 = pDat_1[1]; accu2 = pDat_0[0];
-
- cplxMultDiv2(&accu1, &accu2, accu1, accu2, twiddle[i]);
-
- pDat_0[0] = accu2; pDat_0[1] = accu1;
- }
- }
-
- fft(M, pDat, pDat_e);
-
-#ifdef FUNCTION_dct_IV_func2
- if (M>=4 && (M&3) == 0) {
- /* ARM926: 42 cycles for 2 iterations = 21 cycles/iteration */
- dct_IV_func2(M>>2, sin_twiddle, &pDat[0], &pDat[L], sin_step);
- } else
-#endif /* FUNCTION_dct_IV_func2 */
- {
- FIXP_DBL *RESTRICT pDat_0 = &pDat[0];
- FIXP_DBL *RESTRICT pDat_1 = &pDat[L - 2];
- register FIXP_DBL accu1,accu2,accu3,accu4;
- int idx, i;
-
- /* Sin and Cos values are 0.0f and 1.0f */
- accu1 = pDat_1[0];
- accu2 = pDat_1[1];
-
- pDat_1[1] = -(pDat_0[1]>>1);
- pDat_0[0] = (pDat_0[0]>>1);
-
-
- /* 28 cycles for ARM926 */
- for (idx = sin_step,i=1; i<(M+1)>>1; i++, idx+=sin_step)
- {
- FIXP_STP twd = sin_twiddle[idx];
- cplxMultDiv2(&accu3, &accu4, accu1, accu2, twd);
- pDat_0[1] = accu3;
- pDat_1[0] = accu4;
-
- pDat_0+=2;
- pDat_1-=2;
-
- cplxMultDiv2(&accu3, &accu4, pDat_0[1], pDat_0[0], twd);
-
- accu1 = pDat_1[0];
- accu2 = pDat_1[1];
-
- pDat_1[1] = -accu3;
- pDat_0[0] = accu4;
- }
-
- if ( (M&1) == 0 )
- {
- /* Last Sin and Cos value pair are the same */
- accu1 = fMultDiv2(accu1, WTC(0x5a82799a));
- accu2 = fMultDiv2(accu2, WTC(0x5a82799a));
-
- pDat_1[0] = accu1 + accu2;
- pDat_0[1] = accu1 - accu2;
- }
- }
-
- /* Add twiddeling scale. */
- *pDat_e += 2;
-}
-#endif /* defined (FUNCTION_dct_IV) */
-
-#if !defined(FUNCTION_dst_IV)
-void dst_IV(FIXP_DBL *pDat,
- int L,
- int *pDat_e )
-{
- int sin_step = 0;
- int M = L >> 1;
-
- const FIXP_WTP *twiddle;
- const FIXP_STP *sin_twiddle;
-
-#ifdef DSTIV2_ENABLE
- if (L == 2) {
- const FIXP_STP tab = STCP(0x7641AF3D, 0x30FB9452);
- FIXP_DBL tmp1, tmp2;
-
- cplxMultDiv2(&tmp2, &tmp1, pDat[0], pDat[1], tab);
-
- pDat[0] = tmp1;
- pDat[1] = tmp2;
-
- *pDat_e += 1;
-
- return;
- }
-#else
- FDK_ASSERT(L >= 4);
-#endif
-
- getTables(&twiddle, &sin_twiddle, &sin_step, L);
-
-#ifdef FUNCTION_dst_IV_func1
- if ( (M>=4) && ((M&3) == 0) ) {
- dst_IV_func1(M, twiddle, &pDat[0], &pDat[L]);
- } else
-#endif
- {
- FIXP_DBL *RESTRICT pDat_0 = &pDat[0];
- FIXP_DBL *RESTRICT pDat_1 = &pDat[L - 2];
-
- register int i;
-
- /* 34 cycles on ARM926 */
- for (i = 0; i < M-1; i+=2,pDat_0+=2,pDat_1-=2)
- {
- register FIXP_DBL accu1,accu2,accu3,accu4;
-
- accu1 = pDat_1[1]; accu2 = -pDat_0[0];
- accu3 = pDat_0[1]; accu4 = -pDat_1[0];
-
- cplxMultDiv2(&accu1, &accu2, accu1, accu2, twiddle[i]);
- cplxMultDiv2(&accu3, &accu4, accu4, accu3, twiddle[i+1]);
-
- pDat_0[0] = accu2; pDat_0[1] = accu1;
- pDat_1[0] = accu4; pDat_1[1] = -accu3;
- }
- if (M&1)
- {
- register FIXP_DBL accu1,accu2;
-
- accu1 = pDat_1[1]; accu2 = -pDat_0[0];
-
- cplxMultDiv2(&accu1, &accu2, accu1, accu2, twiddle[i]);
-
- pDat_0[0] = accu2; pDat_0[1] = accu1;
- }
- }
-
- fft(M, pDat, pDat_e);
-
-#ifdef FUNCTION_dst_IV_func2
- if ( (M>=4) && ((M&3) == 0) ) {
- dst_IV_func2(M>>2, sin_twiddle + sin_step, &pDat[0], &pDat[L - 1], sin_step);
- } else
-#endif /* FUNCTION_dst_IV_func2 */
- {
- FIXP_DBL *RESTRICT pDat_0;
- FIXP_DBL *RESTRICT pDat_1;
- register FIXP_DBL accu1,accu2,accu3,accu4;
- int idx, i;
-
- pDat_0 = &pDat[0];
- pDat_1 = &pDat[L - 2];
-
- /* Sin and Cos values are 0.0f and 1.0f */
- accu1 = pDat_1[0];
- accu2 = pDat_1[1];
-
- pDat_1[1] = -(pDat_0[0]>>1);
- pDat_0[0] = (pDat_0[1]>>1);
-
- for (idx = sin_step,i=1; i<(M+1)>>1; i++, idx+=sin_step)
- {
- FIXP_STP twd = sin_twiddle[idx];
-
- cplxMultDiv2(&accu3, &accu4, accu1, accu2, twd);
- pDat_1[0] = -accu3;
- pDat_0[1] = -accu4;
-
- pDat_0+=2;
- pDat_1-=2;
-
- cplxMultDiv2(&accu3, &accu4, pDat_0[1], pDat_0[0], twd);
-
- accu1 = pDat_1[0];
- accu2 = pDat_1[1];
-
- pDat_0[0] = accu3;
- pDat_1[1] = -accu4;
- }
-
- if ( (M&1) == 0 )
- {
- /* Last Sin and Cos value pair are the same */
- accu1 = fMultDiv2(accu1, WTC(0x5a82799a));
- accu2 = fMultDiv2(accu2, WTC(0x5a82799a));
-
- pDat_0[1] = - accu1 - accu2;
- pDat_1[0] = accu2 - accu1;
- }
- }
-
- /* Add twiddeling scale. */
- *pDat_e += 2;
-}
-#endif /* !defined(FUNCTION_dst_IV) */
-
-