/* ----------------------------------------------------------------------------------------------------------- Software License for The Fraunhofer FDK AAC Codec Library for Android © Copyright 1995 - 2012 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 ----------------------------------------------------------------------------------------------------------- */ /*************************** Fraunhofer IIS FDK Tools ********************** Author(s): Josef Hoepfl, DSP Solutions Description: Fix point FFT ******************************************************************************/ #include "fft.h" #include "fft_rad2.h" #include "FDK_tools_rom.h" #define F3C(x) STC(x) #define C31 (F3C(0x91261468)) /* FL2FXCONST_DBL(-0.86602540) */ /* Performs the FFT of length 3 according to the algorithm after winograd. No scaling of the input vector because the scaling is already done in the rotation vector. */ static FORCEINLINE void fft3(FIXP_DBL *RESTRICT pDat) { FIXP_DBL r1,r2; FIXP_DBL s1,s2; /* real part */ r1 = pDat[2] + pDat[4]; r2 = fMult((pDat[2] - pDat[4]), C31); pDat[0] = pDat[0] + r1; r1 = pDat[0] - r1 - (r1>>1); /* imaginary part */ s1 = pDat[3] + pDat[5]; s2 = fMult((pDat[3] - pDat[5]), C31); pDat[1] = pDat[1] + s1; s1 = pDat[1] - s1 - (s1>>1); /* combination */ pDat[2] = r1 - s2; pDat[4] = r1 + s2; pDat[3] = s1 + r2; pDat[5] = s1 - r2; } #define F5C(x) STC(x) #define C51 (F5C(0x79bc3854)) /* FL2FXCONST_DBL( 0.95105652) */ #define C52 (F5C(0x9d839db0)) /* FL2FXCONST_DBL(-1.53884180/2) */ #define C53 (F5C(0xd18053ce)) /* FL2FXCONST_DBL(-0.36327126) */ #define C54 (F5C(0x478dde64)) /* FL2FXCONST_DBL( 0.55901699) */ #define C55 (F5C(0xb0000001)) /* FL2FXCONST_DBL(-1.25/2) */ /* performs the FFT of length 5 according to the algorithm after winograd */ static FORCEINLINE void fft5(FIXP_DBL *RESTRICT pDat) { FIXP_DBL r1,r2,r3,r4; FIXP_DBL s1,s2,s3,s4; FIXP_DBL t; /* real part */ r1 = pDat[2] + pDat[8]; r4 = pDat[2] - pDat[8]; r3 = pDat[4] + pDat[6]; r2 = pDat[4] - pDat[6]; t = fMult((r1-r3), C54); r1 = r1 + r3; pDat[0] = pDat[0] + r1; /* Bit shift left because of the constant C55 which was scaled with the factor 0.5 because of the representation of the values as fracts */ r1 = pDat[0] + (fMultDiv2(r1, C55) <<(2)); r3 = r1 - t; r1 = r1 + t; t = fMult((r4 + r2), C51); /* Bit shift left because of the constant C55 which was scaled with the factor 0.5 because of the representation of the values as fracts */ r4 = t + (fMultDiv2(r4, C52) <<(2)); r2 = t + fMult(r2, C53); /* imaginary part */ s1 = pDat[3] + pDat[9]; s4 = pDat[3] - pDat[9]; s3 = pDat[5] + pDat[7]; s2 = pDat[5] - pDat[7]; t = fMult((s1 - s3), C54); s1 = s1 + s3; pDat[1] = pDat[1] + s1; /* Bit shift left because of the constant C55 which was scaled with the factor 0.5 because of the representation of the values as fracts */ s1 = pDat[1] + (fMultDiv2(s1, C55) <<(2)); s3 = s1 - t; s1 = s1 + t; t = fMult((s4 + s2), C51); /* Bit shift left because of the constant C55 which was scaled with the factor 0.5 because of the representation of the values as fracts */ s4 = t + (fMultDiv2(s4, C52) <<(2)); s2 = t + fMult(s2, C53); /* combination */ pDat[2] = r1 + s2; pDat[8] = r1 - s2; pDat[4] = r3 - s4; pDat[6] = r3 + s4; pDat[3] = s1 - r2; pDat[9] = s1 + r2; pDat[5] = s3 + r4; pDat[7] = s3 - r4; } #define N3 3 #define N5 5 #define N6 6 #define N15 15 /* Performs the FFT of length 15. It is split into FFTs of length 3 and length 5. */ static inline void fft15(FIXP_DBL *pInput) { FIXP_DBL aDst[2*N15]; FIXP_DBL aDst1[2*N15]; int i,k,l; /* Sort input vector for fft's of length 3 input3(0:2) = [input(0) input(5) input(10)]; input3(3:5) = [input(3) input(8) input(13)]; input3(6:8) = [input(6) input(11) input(1)]; input3(9:11) = [input(9) input(14) input(4)]; input3(12:14) = [input(12) input(2) input(7)]; */ { const FIXP_DBL *pSrc = pInput; FIXP_DBL *RESTRICT pDst = aDst; /* Merge 3 loops into one, skip call of fft3 */ for(i=0,l=0,k=0; i= (2*N15)) l -= (2*N15); pDst[k+2] = pSrc[l]; pDst[k+3] = pSrc[l+1]; l += 2*N5; if (l >= (2*N15)) l -= (2*N15); pDst[k+4] = pSrc[l]; pDst[k+5] = pSrc[l+1]; l += (2*N5) + (2*N3); if (l >= (2*N15)) l -= (2*N15); /* fft3 merged with shift right by 2 loop */ FIXP_DBL r1,r2,r3; FIXP_DBL s1,s2; /* real part */ r1 = pDst[k+2] + pDst[k+4]; r2 = fMult((pDst[k+2] - pDst[k+4]), C31); s1 = pDst[k+0]; pDst[k+0] = (s1 + r1)>>2; r1 = s1 - (r1>>1); /* imaginary part */ s1 = pDst[k+3] + pDst[k+5]; s2 = fMult((pDst[k+3] - pDst[k+5]), C31); r3 = pDst[k+1]; pDst[k+1] = (r3 + s1)>>2; s1 = r3 - (s1>>1); /* combination */ pDst[k+2] = (r1 - s2)>>2; pDst[k+4] = (r1 + s2)>>2; pDst[k+3] = (s1 + r2)>>2; pDst[k+5] = (s1 - r2)>>2; } } /* Sort input vector for fft's of length 5 input5(0:4) = [output3(0) output3(3) output3(6) output3(9) output3(12)]; input5(5:9) = [output3(1) output3(4) output3(7) output3(10) output3(13)]; input5(10:14) = [output3(2) output3(5) output3(8) output3(11) output3(14)]; */ /* Merge 2 loops into one, brings about 10% */ { const FIXP_DBL *pSrc = aDst; FIXP_DBL *RESTRICT pDst = aDst1; for(i=0,l=0,k=0; i= (2*N15)) l -= (2*N15); pDst[k+2] = pSrc[l]; pDst[k+3] = pSrc[l+1]; l += (2*N6); if (l >= (2*N15)) l -= (2*N15); pDst[k+4] = pSrc[l]; pDst[k+5] = pSrc[l+1]; l += (2*N6); if (l >= (2*N15)) l -= (2*N15); pDst[k+6] = pSrc[l]; pDst[k+7] = pSrc[l+1]; l += (2*N6); if (l >= (2*N15)) l -= (2*N15); pDst[k+8] = pSrc[l]; pDst[k+9] = pSrc[l+1]; l += 2; /* no modulo check needed, it cannot occur */ } } } #define W_PiFOURTH STC(0x5a82799a) #ifndef SUMDIFF_PIFOURTH #define SUMDIFF_PIFOURTH(diff,sum,a,b) \ { \ FIXP_DBL wa, wb;\ wa = fMultDiv2(a, W_PiFOURTH);\ wb = fMultDiv2(b, W_PiFOURTH);\ diff = wb - wa;\ sum = wb + wa;\ } #endif /* This version is more overflow save, but less cycle optimal. */ #define SUMDIFF_EIGTH(x, y, ix, iy, vr, vi, ur, ui) \ vr = (x[ 0 + ix]>>1) + (x[16 + ix]>>1); /* Re A + Re B */ \ vi = (x[ 8 + ix]>>1) + (x[24 + ix]>>1); /* Re C + Re D */ \ ur = (x[ 1 + ix]>>1) + (x[17 + ix]>>1); /* Im A + Im B */ \ ui = (x[ 9 + ix]>>1) + (x[25 + ix]>>1); /* Im C + Im D */ \ y[ 0 + iy] = vr + vi; /* Re A' = ReA + ReB +ReC + ReD */ \ y[ 4 + iy] = vr - vi; /* Re C' = -(ReC+ReD) + (ReA+ReB) */ \ y[ 1 + iy] = ur + ui; /* Im A' = sum of imag values */ \ y[ 5 + iy] = ur - ui; /* Im C' = -Im C -Im D +Im A +Im B */ \ vr -= x[16 + ix]; /* Re A - Re B */ \ vi = vi - x[24 + ix]; /* Re C - Re D */ \ ur -= x[17 + ix]; /* Im A - Im B */ \ ui = ui - x[25 + ix]; /* Im C - Im D */ \ y[ 2 + iy] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ \ y[ 6 + iy] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ \ y[ 3 + iy] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ \ y[ 7 + iy] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ static const FIXP_STP fft16_w16[2] = { STCP(0x7641af3d, 0x30fbc54d), STCP(0x30fbc54d, 0x7641af3d) }; LNK_SECTION_CODE_L1 inline void fft_16(FIXP_DBL *RESTRICT x) { FIXP_DBL vr, vi, ur, ui; FIXP_DBL y[32]; SUMDIFF_EIGTH(x, y, 0, 0, vr, vi, ur, ui); SUMDIFF_EIGTH(x, y, 4, 8, vr, vi, ur, ui); SUMDIFF_EIGTH(x, y, 2, 16, vr, vi, ur, ui); SUMDIFF_EIGTH(x, y, 6, 24, vr, vi, ur, ui); // xt1 = 0 // xt2 = 8 vr = y[ 8]; vi = y[ 9]; ur = y[ 0]>>1; ui = y[ 1]>>1; x[ 0] = ur + (vr>>1); x[ 1] = ui + (vi>>1); x[ 8] = ur - (vr>>1); x[ 9] = ui - (vi>>1); // xt1 = 4 // xt2 = 12 vr = y[13]; vi = y[12]; ur = y[ 4]>>1; ui = y[ 5]>>1; x[ 4] = ur + (vr>>1); x[ 5] = ui - (vi>>1); x[12] = ur - (vr>>1); x[13] = ui + (vi>>1); // xt1 = 16 // xt2 = 24 vr = y[24]; vi = y[25]; ur = y[16]>>1; ui = y[17]>>1; x[16] = ur + (vr>>1); x[17] = ui + (vi>>1); x[24] = ur - (vr>>1); x[25] = ui - (vi>>1); // xt1 = 20 // xt2 = 28 vr = y[29]; vi = y[28]; ur = y[20]>>1; ui = y[21]>>1; x[20] = ur + (vr>>1); x[21] = ui - (vi>>1); x[28] = ur - (vr>>1); x[29] = ui + (vi>>1); // xt1 = 2 // xt2 = 10 SUMDIFF_PIFOURTH(vi, vr, y[10], y[11]) //vr = fMultDiv2((y[11] + y[10]),W_PiFOURTH); //vi = fMultDiv2((y[11] - y[10]),W_PiFOURTH); ur = y[ 2]; ui = y[ 3]; x[ 2] = (ur>>1) + vr; x[ 3] = (ui>>1) + vi; x[10] = (ur>>1) - vr; x[11] = (ui>>1) - vi; // xt1 = 6 // xt2 = 14 SUMDIFF_PIFOURTH(vr, vi, y[14], y[15]) ur = y[ 6]; ui = y[ 7]; x[ 6] = (ur>>1) + vr; x[ 7] = (ui>>1) - vi; x[14] = (ur>>1) - vr; x[15] = (ui>>1) + vi; // xt1 = 18 // xt2 = 26 SUMDIFF_PIFOURTH(vi, vr, y[26], y[27]) ur = y[18]; ui = y[19]; x[18] = (ur>>1) + vr; x[19] = (ui>>1) + vi; x[26] = (ur>>1) - vr; x[27] = (ui>>1) - vi; // xt1 = 22 // xt2 = 30 SUMDIFF_PIFOURTH(vr, vi, y[30], y[31]) ur = y[22]; ui = y[23]; x[22] = (ur>>1) + vr; x[23] = (ui>>1) - vi; x[30] = (ur>>1) - vr; x[31] = (ui>>1) + vi; // xt1 = 0 // xt2 = 16 vr = x[16]; vi = x[17]; ur = x[ 0]>>1; ui = x[ 1]>>1; x[ 0] = ur + (vr>>1); x[ 1] = ui + (vi>>1); x[16] = ur - (vr>>1); x[17] = ui - (vi>>1); // xt1 = 8 // xt2 = 24 vi = x[24]; vr = x[25]; ur = x[ 8]>>1; ui = x[ 9]>>1; x[ 8] = ur + (vr>>1); x[ 9] = ui - (vi>>1); x[24] = ur - (vr>>1); x[25] = ui + (vi>>1); // xt1 = 2 // xt2 = 18 cplxMultDiv2(&vi, &vr, x[19], x[18], fft16_w16[0]); ur = x[ 2]; ui = x[ 3]; x[ 2] = (ur>>1) + vr; x[ 3] = (ui>>1) + vi; x[18] = (ur>>1) - vr; x[19] = (ui>>1) - vi; // xt1 = 10 // xt2 = 26 cplxMultDiv2(&vr, &vi, x[27], x[26], fft16_w16[0]); ur = x[10]; ui = x[11]; x[10] = (ur>>1) + vr; x[11] = (ui>>1) - vi; x[26] = (ur>>1) - vr; x[27] = (ui>>1) + vi; // xt1 = 4 // xt2 = 20 SUMDIFF_PIFOURTH(vi, vr, x[20], x[21]) ur = x[ 4]; ui = x[ 5]; x[ 4] = (ur>>1) + vr; x[ 5] = (ui>>1) + vi; x[20] = (ur>>1) - vr; x[21] = (ui>>1) - vi; // xt1 = 12 // xt2 = 28 SUMDIFF_PIFOURTH(vr, vi, x[28], x[29]) ur = x[12]; ui = x[13]; x[12] = (ur>>1) + vr; x[13] = (ui>>1) - vi; x[28] = (ur>>1) - vr; x[29] = (ui>>1) + vi; // xt1 = 6 // xt2 = 22 cplxMultDiv2(&vi, &vr, x[23], x[22], fft16_w16[1]); ur = x[ 6]; ui = x[ 7]; x[ 6] = (ur>>1) + vr; x[ 7] = (ui>>1) + vi; x[22] = (ur>>1) - vr; x[23] = (ui>>1) - vi; // xt1 = 14 // xt2 = 30 cplxMultDiv2(&vr, &vi, x[31], x[30], fft16_w16[1]); ur = x[14]; ui = x[15]; x[14] = (ur>>1) + vr; x[15] = (ui>>1) - vi; x[30] = (ur>>1) - vr; x[31] = (ui>>1) + vi; } #ifndef FUNCTION_fft_32 static const FIXP_STP fft32_w32[6] = { STCP (0x7641af3d, 0x30fbc54d), STCP(0x30fbc54d, 0x7641af3d), STCP(0x7d8a5f40, 0x18f8b83c), STCP (0x6a6d98a4, 0x471cece7), STCP(0x471cece7, 0x6a6d98a4), STCP(0x18f8b83c, 0x7d8a5f40) }; LNK_SECTION_CODE_L1 inline void fft_32(FIXP_DBL *x) { #define W_PiFOURTH STC(0x5a82799a) FIXP_DBL vr,vi,ur,ui; FIXP_DBL y[64]; /* * 1+2 stage radix 4 */ ///////////////////////////////////////////////////////////////////////////////////////// // i = 0 vr = (x[ 0] + x[32])>>1; /* Re A + Re B */ vi = (x[16] + x[48]); /* Re C + Re D */ ur = (x[ 1] + x[33])>>1; /* Im A + Im B */ ui = (x[17] + x[49]); /* Im C + Im D */ y[ 0] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[ 4] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[ 1] = ur + (ui>>1); /* Im A' = sum of imag values */ y[ 5] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[32]; /* Re A - Re B */ vi = (vi>>1) - x[48]; /* Re C - Re D */ ur -= x[33]; /* Im A - Im B */ ui = (ui>>1) - x[49]; /* Im C - Im D */ y[ 2] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[ 6] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[ 3] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[ 7] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ //i=8 vr = (x[ 8] + x[40])>>1; /* Re A + Re B */ vi = (x[24] + x[56]); /* Re C + Re D */ ur = (x[ 9] + x[41])>>1; /* Im A + Im B */ ui = (x[25] + x[57]); /* Im C + Im D */ y[ 8] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[12] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[ 9] = ur + (ui>>1); /* Im A' = sum of imag values */ y[13] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[40]; /* Re A - Re B */ vi = (vi>>1) - x[56]; /* Re C - Re D */ ur -= x[41]; /* Im A - Im B */ ui = (ui>>1) - x[57]; /* Im C - Im D */ y[10] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[14] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[11] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[15] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ //i=16 vr = (x[ 4] + x[36])>>1; /* Re A + Re B */ vi = (x[20] + x[52]); /* Re C + Re D */ ur = (x[ 5] + x[37])>>1; /* Im A + Im B */ ui = (x[21] + x[53]); /* Im C + Im D */ y[16] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[20] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[17] = ur + (ui>>1); /* Im A' = sum of imag values */ y[21] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[36]; /* Re A - Re B */ vi = (vi>>1) - x[52]; /* Re C - Re D */ ur -= x[37]; /* Im A - Im B */ ui = (ui>>1) - x[53]; /* Im C - Im D */ y[18] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[22] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[19] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[23] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ //i=24 vr = (x[12] + x[44])>>1; /* Re A + Re B */ vi = (x[28] + x[60]); /* Re C + Re D */ ur = (x[13] + x[45])>>1; /* Im A + Im B */ ui = (x[29] + x[61]); /* Im C + Im D */ y[24] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[28] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[25] = ur + (ui>>1); /* Im A' = sum of imag values */ y[29] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[44]; /* Re A - Re B */ vi = (vi>>1) - x[60]; /* Re C - Re D */ ur -= x[45]; /* Im A - Im B */ ui = (ui>>1) - x[61]; /* Im C - Im D */ y[26] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[30] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[27] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[31] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ // i = 32 vr = (x[ 2] + x[34])>>1; /* Re A + Re B */ vi = (x[18] + x[50]); /* Re C + Re D */ ur = (x[ 3] + x[35])>>1; /* Im A + Im B */ ui = (x[19] + x[51]); /* Im C + Im D */ y[32] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[36] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[33] = ur + (ui>>1); /* Im A' = sum of imag values */ y[37] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[34]; /* Re A - Re B */ vi = (vi>>1) - x[50]; /* Re C - Re D */ ur -= x[35]; /* Im A - Im B */ ui = (ui>>1) - x[51]; /* Im C - Im D */ y[34] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[38] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[35] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[39] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ //i=40 vr = (x[10] + x[42])>>1; /* Re A + Re B */ vi = (x[26] + x[58]); /* Re C + Re D */ ur = (x[11] + x[43])>>1; /* Im A + Im B */ ui = (x[27] + x[59]); /* Im C + Im D */ y[40] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[44] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[41] = ur + (ui>>1); /* Im A' = sum of imag values */ y[45] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[42]; /* Re A - Re B */ vi = (vi>>1) - x[58]; /* Re C - Re D */ ur -= x[43]; /* Im A - Im B */ ui = (ui>>1) - x[59]; /* Im C - Im D */ y[42] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[46] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[43] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[47] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ //i=48 vr = (x[ 6] + x[38])>>1; /* Re A + Re B */ vi = (x[22] + x[54]); /* Re C + Re D */ ur = (x[ 7] + x[39])>>1; /* Im A + Im B */ ui = (x[23] + x[55]); /* Im C + Im D */ y[48] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[52] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[49] = ur + (ui>>1); /* Im A' = sum of imag values */ y[53] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[38]; /* Re A - Re B */ vi = (vi>>1) - x[54]; /* Re C - Re D */ ur -= x[39]; /* Im A - Im B */ ui = (ui>>1) - x[55]; /* Im C - Im D */ y[50] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[54] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[51] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[55] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ //i=56 vr = (x[14] + x[46])>>1; /* Re A + Re B */ vi = (x[30] + x[62]); /* Re C + Re D */ ur = (x[15] + x[47])>>1; /* Im A + Im B */ ui = (x[31] + x[63]); /* Im C + Im D */ y[56] = vr + (vi>>1); /* Re A' = ReA + ReB +ReC + ReD */ y[60] = vr - (vi>>1); /* Re C' = -(ReC+ReD) + (ReA+ReB) */ y[57] = ur + (ui>>1); /* Im A' = sum of imag values */ y[61] = ur - (ui>>1); /* Im C' = -Im C -Im D +Im A +Im B */ vr -= x[46]; /* Re A - Re B */ vi = (vi>>1) - x[62]; /* Re C - Re D */ ur -= x[47]; /* Im A - Im B */ ui = (ui>>1) - x[63]; /* Im C - Im D */ y[58] = ui + vr; /* Re B' = Im C - Im D + Re A - Re B */ y[62] = vr - ui; /* Re D' = -Im C + Im D + Re A - Re B */ y[59] = ur - vi; /* Im B'= -Re C + Re D + Im A - Im B */ y[63] = vi + ur; /* Im D'= Re C - Re D + Im A - Im B */ FIXP_DBL *xt = &x[0]; FIXP_DBL *yt = &y[0]; int j = 4; do { vr = yt[8]; vi = yt[9]; ur = yt[0]>>1; ui = yt[1]>>1; xt[ 0] = ur + (vr>>1); xt[ 1] = ui + (vi>>1); xt[ 8] = ur - (vr>>1); xt[ 9] = ui - (vi>>1); vr = yt[13]; vi = yt[12]; ur = yt[4]>>1; ui = yt[5]>>1; xt[ 4] = ur + (vr>>1); xt[ 5] = ui - (vi>>1); xt[12] = ur - (vr>>1); xt[13] = ui + (vi>>1); SUMDIFF_PIFOURTH(vi, vr, yt[10], yt[11]) ur = yt[2]; ui = yt[3]; xt[ 2] = (ur>>1) + vr; xt[ 3] = (ui>>1) + vi; xt[10] = (ur>>1) - vr; xt[11] = (ui>>1) - vi; SUMDIFF_PIFOURTH(vr, vi, yt[14], yt[15]) ur = yt[6]; ui = yt[7]; xt[ 6] = (ur>>1) + vr; xt[ 7] = (ui>>1) - vi; xt[14] = (ur>>1) - vr; xt[15] = (ui>>1) + vi; xt += 16; yt += 16; } while (--j != 0); vr = x[16]; vi = x[17]; ur = x[ 0]>>1; ui = x[ 1]>>1; x[ 0] = ur + (vr>>1); x[ 1] = ui + (vi>>1); x[16] = ur - (vr>>1); x[17] = ui - (vi>>1); vi = x[24]; vr = x[25]; ur = x[ 8]>>1; ui = x[ 9]>>1; x[ 8] = ur + (vr>>1); x[ 9] = ui - (vi>>1); x[24] = ur - (vr>>1); x[25] = ui + (vi>>1); vr = x[48]; vi = x[49]; ur = x[32]>>1; ui = x[33]>>1; x[32] = ur + (vr>>1); x[33] = ui + (vi>>1); x[48] = ur - (vr>>1); x[49] = ui - (vi>>1); vi = x[56]; vr = x[57]; ur = x[40]>>1; ui = x[41]>>1; x[40] = ur + (vr>>1); x[41] = ui - (vi>>1); x[56] = ur - (vr>>1); x[57] = ui + (vi>>1); cplxMultDiv2(&vi, &vr, x[19], x[18], fft32_w32[0]); ur = x[ 2]; ui = x[ 3]; x[ 2] = (ur>>1) + vr; x[ 3] = (ui>>1) + vi; x[18] = (ur>>1) - vr; x[19] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[27], x[26], fft32_w32[0]); ur = x[10]; ui = x[11]; x[10] = (ur>>1) + vr; x[11] = (ui>>1) - vi; x[26] = (ur>>1) - vr; x[27] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[51], x[50], fft32_w32[0]); ur = x[34]; ui = x[35]; x[34] = (ur>>1) + vr; x[35] = (ui>>1) + vi; x[50] = (ur>>1) - vr; x[51] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[59], x[58], fft32_w32[0]); ur = x[42]; ui = x[43]; x[42] = (ur>>1) + vr; x[43] = (ui>>1) - vi; x[58] = (ur>>1) - vr; x[59] = (ui>>1) + vi; SUMDIFF_PIFOURTH(vi, vr, x[20], x[21]) ur = x[ 4]; ui = x[ 5]; x[ 4] = (ur>>1) + vr; x[ 5] = (ui>>1) + vi; x[20] = (ur>>1) - vr; x[21] = (ui>>1) - vi; SUMDIFF_PIFOURTH(vr, vi, x[28], x[29]) ur = x[12]; ui = x[13]; x[12] = (ur>>1) + vr; x[13] = (ui>>1) - vi; x[28] = (ur>>1) - vr; x[29] = (ui>>1) + vi; SUMDIFF_PIFOURTH(vi, vr, x[52], x[53]) ur = x[36]; ui = x[37]; x[36] = (ur>>1) + vr; x[37] = (ui>>1) + vi; x[52] = (ur>>1) - vr; x[53] = (ui>>1) - vi; SUMDIFF_PIFOURTH(vr, vi, x[60], x[61]) ur = x[44]; ui = x[45]; x[44] = (ur>>1) + vr; x[45] = (ui>>1) - vi; x[60] = (ur>>1) - vr; x[61] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[23], x[22], fft32_w32[1]); ur = x[ 6]; ui = x[ 7]; x[ 6] = (ur>>1) + vr; x[ 7] = (ui>>1) + vi; x[22] = (ur>>1) - vr; x[23] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[31], x[30], fft32_w32[1]); ur = x[14]; ui = x[15]; x[14] = (ur>>1) + vr; x[15] = (ui>>1) - vi; x[30] = (ur>>1) - vr; x[31] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[55], x[54], fft32_w32[1]); ur = x[38]; ui = x[39]; x[38] = (ur>>1) + vr; x[39] = (ui>>1) + vi; x[54] = (ur>>1) - vr; x[55] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[63], x[62], fft32_w32[1]); ur = x[46]; ui = x[47]; x[46] = (ur>>1) + vr; x[47] = (ui>>1) - vi; x[62] = (ur>>1) - vr; x[63] = (ui>>1) + vi; vr = x[32]; vi = x[33]; ur = x[ 0]>>1; ui = x[ 1]>>1; x[ 0] = ur + (vr>>1); x[ 1] = ui + (vi>>1); x[32] = ur - (vr>>1); x[33] = ui - (vi>>1); vi = x[48]; vr = x[49]; ur = x[16]>>1; ui = x[17]>>1; x[16] = ur + (vr>>1); x[17] = ui - (vi>>1); x[48] = ur - (vr>>1); x[49] = ui + (vi>>1); cplxMultDiv2(&vi, &vr, x[35], x[34], fft32_w32[2]); ur = x[ 2]; ui = x[ 3]; x[ 2] = (ur>>1) + vr; x[ 3] = (ui>>1) + vi; x[34] = (ur>>1) - vr; x[35] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[51], x[50], fft32_w32[2]); ur = x[18]; ui = x[19]; x[18] = (ur>>1) + vr; x[19] = (ui>>1) - vi; x[50] = (ur>>1) - vr; x[51] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[37], x[36], fft32_w32[0]); ur = x[ 4]; ui = x[ 5]; x[ 4] = (ur>>1) + vr; x[ 5] = (ui>>1) + vi; x[36] = (ur>>1) - vr; x[37] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[53], x[52], fft32_w32[0]); ur = x[20]; ui = x[21]; x[20] = (ur>>1) + vr; x[21] = (ui>>1) - vi; x[52] = (ur>>1) - vr; x[53] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[39], x[38], fft32_w32[3]); ur = x[ 6]; ui = x[ 7]; x[ 6] = (ur>>1) + vr; x[ 7] = (ui>>1) + vi; x[38] = (ur>>1) - vr; x[39] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[55], x[54], fft32_w32[3]); ur = x[22]; ui = x[23]; x[22] = (ur>>1) + vr; x[23] = (ui>>1) - vi; x[54] = (ur>>1) - vr; x[55] = (ui>>1) + vi; SUMDIFF_PIFOURTH(vi, vr, x[40], x[41]) ur = x[ 8]; ui = x[ 9]; x[ 8] = (ur>>1) + vr; x[ 9] = (ui>>1) + vi; x[40] = (ur>>1) - vr; x[41] = (ui>>1) - vi; SUMDIFF_PIFOURTH(vr, vi, x[56], x[57]) ur = x[24]; ui = x[25]; x[24] = (ur>>1) + vr; x[25] = (ui>>1) - vi; x[56] = (ur>>1) - vr; x[57] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[43], x[42], fft32_w32[4]); ur = x[10]; ui = x[11]; x[10] = (ur>>1) + vr; x[11] = (ui>>1) + vi; x[42] = (ur>>1) - vr; x[43] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[59], x[58], fft32_w32[4]); ur = x[26]; ui = x[27]; x[26] = (ur>>1) + vr; x[27] = (ui>>1) - vi; x[58] = (ur>>1) - vr; x[59] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[45], x[44], fft32_w32[1]); ur = x[12]; ui = x[13]; x[12] = (ur>>1) + vr; x[13] = (ui>>1) + vi; x[44] = (ur>>1) - vr; x[45] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[61], x[60], fft32_w32[1]); ur = x[28]; ui = x[29]; x[28] = (ur>>1) + vr; x[29] = (ui>>1) - vi; x[60] = (ur>>1) - vr; x[61] = (ui>>1) + vi; cplxMultDiv2(&vi, &vr, x[47], x[46], fft32_w32[5]); ur = x[14]; ui = x[15]; x[14] = (ur>>1) + vr; x[15] = (ui>>1) + vi; x[46] = (ur>>1) - vr; x[47] = (ui>>1) - vi; cplxMultDiv2(&vr, &vi, x[63], x[62], fft32_w32[5]); ur = x[30]; ui = x[31]; x[30] = (ur>>1) + vr; x[31] = (ui>>1) - vi; x[62] = (ur>>1) - vr; x[63] = (ui>>1) + vi; } #endif /* #ifndef FUNCTION_fft_32 */ /** * \brief Apply rotation vectors to a data buffer. * \param cl length of each row of input data. * \param l total length of input data. * \param pVecRe real part of rotation ceofficient vector. * \param pVecIm imaginary part of rotation ceofficient vector. */ static inline void fft_apply_rot_vector(FIXP_DBL *RESTRICT pData, const int cl, const int l, const FIXP_STB *pVecRe, const FIXP_STB *pVecIm) { FIXP_DBL re, im; FIXP_STB vre, vim; int i, c; for(i=0; i>2; /* * 0.25 */ pData[2*i+1] = im>>2; /* * 0.25 */ } for(; i>2; /* * 0.25 */ pData[2*i+1] = im>>2; /* * 0.25 */ for (c=i+1; c>1; im = pData[2*c+1]>>1; vre = *pVecRe++; vim = *pVecIm++; cplxMultDiv2(&pData[2*c+1], &pData[2*c], im, re, vre, vim); } } } #define FFT_TWO_STAGE_MACRO_ENABLE #ifdef FFT_TWO_STAGE_MACRO_ENABLE #define fftN2(pInput, length, dim1, dim2, fft_func1, fft_func2, RotVectorReal, RotVectorImag) \ { \ int i, j; \ \ C_ALLOC_SCRATCH_START(aDst, FIXP_DBL, length*2); \ C_ALLOC_SCRATCH_START(aDst2, FIXP_DBL, dim2*2); \ \ FDK_ASSERT(length == dim1*dim2); \ \ /* Perform dim2 times the fft of length dim1. The input samples are at the address of pSrc and the \ output samples are at the address of pDst. The input vector for the fft of length dim1 is built \ of the interleaved samples in pSrc, the output samples are stored consecutively. \ */ \ { \ const FIXP_DBL* pSrc = pInput; \ FIXP_DBL *RESTRICT pDst = aDst; \ \ for(i=0; i