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authorDave Burke <daveburke@google.com>2012-04-17 09:51:45 -0700
committerDave Burke <daveburke@google.com>2012-04-17 23:04:43 -0700
commit9bf37cc9712506b2483650c82d3c41152337ef7e (patch)
tree77db44e2bae06e3d144b255628be2b7a55c581d3 /libFDK/include/fft.h
parenta37315fe10ee143d6d0b28c19d41a476a23e63ea (diff)
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Fraunhofer AAC codec.
License boilerplate update to follow. Change-Id: I2810460c11a58b6d148d84673cc031f3685e79b5
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+/*************************** Fraunhofer IIS FDK Tools **********************
+
+ (C) Copyright Fraunhofer IIS (2001)
+ All Rights Reserved
+
+ Please be advised that this software and/or program delivery is
+ Confidential Information of Fraunhofer and subject to and covered by the
+
+ Fraunhofer IIS Software Evaluation Agreement
+ between Google Inc. and Fraunhofer
+ effective and in full force since March 1, 2012.
+
+ You may use this software and/or program only under the terms and
+ conditions described in the above mentioned Fraunhofer IIS Software
+ Evaluation Agreement. Any other and/or further use requires a separate agreement.
+
+
+ $Id$
+ Author(s): Josef Hoepfl, DSP Solutions
+ Description: Fix point FFT
+
+ This software and/or program is protected by copyright law and international
+ treaties. Any reproduction or distribution of this software and/or program,
+ or any portion of it, may result in severe civil and criminal penalties, and
+ will be prosecuted to the maximum extent possible under law.
+
+******************************************************************************/
+
+#ifndef __FFT_H__
+#define __FFT_H__
+
+#include "common_fix.h"
+
+/**
+ * \brief Perform an inplace complex valued FFT of length 2^n
+ *
+ * \param length Length of the FFT to be calculated.
+ * \param pInput Input/Output data buffer. The input data must have at least 1 bit scale headroom.
+ * The values are interleaved, real/imag pairs.
+ * \param scalefactor Pointer to an INT, which contains the current scale of the input data,
+ * which is updated according to the FFT scale.
+ */
+void fft(int length, FIXP_DBL *pInput, INT *scalefactor);
+
+/**
+ * \brief Perform an inplace complex valued IFFT of length 2^n
+ *
+ * \param length Length of the FFT to be calculated.
+ * \param pInput Input/Output data buffer. The input data must have at least 1 bit scale headroom.
+ * The values are interleaved, real/imag pairs.
+ * \param scalefactor Pointer to an INT, which contains the current scale of the input data,
+ * which is updated according to the IFFT scale.
+ */
+void ifft(int length, FIXP_DBL *pInput, INT *scalefactor);
+
+
+/*
+ * Frequently used and fixed short length FFTs.
+ */
+
+LNK_SECTION_CODE_L1
+static void FORCEINLINE fft_4(FIXP_DBL *x)
+{
+ FIXP_DBL a00, a10, a20, a30, tmp0, tmp1;
+
+ a00 = (x[0] + x[4])>>1; /* Re A + Re B */
+ a10 = (x[2] + x[6])>>1; /* Re C + Re D */
+ a20 = (x[1] + x[5])>>1; /* Im A + Im B */
+ a30 = (x[3] + x[7])>>1; /* Im C + Im D */
+
+ x[0] = a00 + a10; /* Re A' = Re A + Re B + Re C + Re D */
+ x[1] = a20 + a30; /* Im A' = Im A + Im B + Im C + Im D */
+
+ tmp0 = a00 - x[4]; /* Re A - Re B */
+ tmp1 = a20 - x[5]; /* Im A - Im B */
+
+ x[4] = a00 - a10; /* Re C' = Re A + Re B - Re C - Re D */
+ x[5] = a20 - a30; /* Im C' = Im A + Im B - Im C - Im D */
+
+ a10 = a10 - x[6]; /* Re C - Re D */
+ a30 = a30 - x[7]; /* Im C - Im D */
+
+ x[2] = tmp0 + a30; /* Re B' = Re A - Re B + Im C - Im D */
+ x[6] = tmp0 - a30; /* Re D' = Re A - Re B - Im C + Im D */
+ x[3] = tmp1 - a10; /* Im B' = Im A - Im B - Re C + Re D */
+ x[7] = tmp1 + a10; /* Im D' = Im A - Im B + Re C - Re D */
+}
+
+LNK_SECTION_CODE_L1
+static void FORCEINLINE fft_8(FIXP_DBL *x)
+{
+ #define W_PiFOURTH STC(0x5a82799a)
+
+ FIXP_DBL a00, a10, a20, a30;
+ FIXP_DBL y[16];
+
+ a00 = (x[0] + x[8])>>1;
+ a10 = x[4] + x[12];
+ a20 = (x[1] + x[9])>>1;
+ a30 = x[5] + x[13];
+
+ y[0] = a00 + (a10>>1);
+ y[4] = a00 - (a10>>1);
+ y[1] = a20 + (a30>>1);
+ y[5] = a20 - (a30>>1);
+
+ a00 = a00 - x[8];
+ a10 = (a10>>1) - x[12];
+ a20 = a20 - x[9];
+ a30 = (a30>>1) - x[13];
+
+ y[2] = a00 + a30;
+ y[6] = a00 - a30;
+ y[3] = a20 - a10;
+ y[7] = a20 + a10;
+
+ a00 = (x[2] + x[10])>>1;
+ a10 = x[6] + x[14];
+ a20 = (x[3] + x[11])>>1;
+ a30 = x[7] + x[15];
+
+ y[8] = a00 + (a10>>1);
+ y[12] = a00 - (a10>>1);
+ y[9] = a20 + (a30>>1);
+ y[13] = a20 - (a30>>1);
+
+ a00 = a00 - x[10];
+ a10 = (a10>>1) - x[14];
+ a20 = a20 - x[11];
+ a30 = (a30>>1) - x[15];
+
+ y[10] = a00 + a30;
+ y[14] = a00 - a30;
+ y[11] = a20 - a10;
+ y[15] = a20 + a10;
+
+ FIXP_DBL vr, vi, ur, ui;
+
+ ur = y[0]>>1;
+ ui = y[1]>>1;
+ vr = y[8];
+ vi = y[9];
+ x[0] = ur + (vr>>1);
+ x[1] = ui + (vi>>1);
+ x[8] = ur - (vr>>1);
+ x[9] = ui - (vi>>1);
+
+ ur = y[4]>>1;
+ ui = y[5]>>1;
+ vi = y[12];
+ vr = y[13];
+ x[4] = ur + (vr>>1);
+ x[5] = ui - (vi>>1);
+ x[12] = ur - (vr>>1);
+ x[13] = ui + (vi>>1);
+
+ ur = y[10];
+ ui = y[11];
+ vr = fMultDiv2(ui+ur,W_PiFOURTH);
+ vi = fMultDiv2(ui-ur,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;
+
+ ur = y[14];
+ ui = y[15];
+ vr = fMultDiv2(ui-ur,W_PiFOURTH);
+ vi = fMultDiv2(ui+ur,W_PiFOURTH);
+ 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;
+}
+
+/**
+ * \brief FFT of fixed length 16
+ */
+inline void fft_16(FIXP_DBL *x);
+
+/**
+ * \brief FFT of fixed length 32
+ */
+inline void fft_32(FIXP_DBL *x);
+
+
+#endif