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vdr/ac3dec/imdct.c

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/*
* imdct.c
*
* Copyright (C) Aaron Holtzman - May 1999
*
* This file is part of ac3dec, a free Dolby AC-3 stream decoder.
*
* ac3dec is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2, or (at your option)
* any later version.
*
* ac3dec is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with GNU Make; see the file COPYING. If not, write to
* the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
*
*
*/
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include "ac3.h"
#include "ac3_internal.h"
#include "decode.h"
#include "imdct.h"
void imdct_do_256(float data[],float delay[]);
void imdct_do_512(float data[],float delay[]);
typedef struct complex_s
{
float real;
float imag;
} complex_t;
#define N 512
/* 128 point bit-reverse LUT */
static uint_8 bit_reverse_512[128] = {
0x00, 0x40, 0x20, 0x60, 0x10, 0x50, 0x30, 0x70,
0x08, 0x48, 0x28, 0x68, 0x18, 0x58, 0x38, 0x78,
0x04, 0x44, 0x24, 0x64, 0x14, 0x54, 0x34, 0x74,
0x0c, 0x4c, 0x2c, 0x6c, 0x1c, 0x5c, 0x3c, 0x7c,
0x02, 0x42, 0x22, 0x62, 0x12, 0x52, 0x32, 0x72,
0x0a, 0x4a, 0x2a, 0x6a, 0x1a, 0x5a, 0x3a, 0x7a,
0x06, 0x46, 0x26, 0x66, 0x16, 0x56, 0x36, 0x76,
0x0e, 0x4e, 0x2e, 0x6e, 0x1e, 0x5e, 0x3e, 0x7e,
0x01, 0x41, 0x21, 0x61, 0x11, 0x51, 0x31, 0x71,
0x09, 0x49, 0x29, 0x69, 0x19, 0x59, 0x39, 0x79,
0x05, 0x45, 0x25, 0x65, 0x15, 0x55, 0x35, 0x75,
0x0d, 0x4d, 0x2d, 0x6d, 0x1d, 0x5d, 0x3d, 0x7d,
0x03, 0x43, 0x23, 0x63, 0x13, 0x53, 0x33, 0x73,
0x0b, 0x4b, 0x2b, 0x6b, 0x1b, 0x5b, 0x3b, 0x7b,
0x07, 0x47, 0x27, 0x67, 0x17, 0x57, 0x37, 0x77,
0x0f, 0x4f, 0x2f, 0x6f, 0x1f, 0x5f, 0x3f, 0x7f};
static uint_8 bit_reverse_256[64] = {
0x00, 0x20, 0x10, 0x30, 0x08, 0x28, 0x18, 0x38,
0x04, 0x24, 0x14, 0x34, 0x0c, 0x2c, 0x1c, 0x3c,
0x02, 0x22, 0x12, 0x32, 0x0a, 0x2a, 0x1a, 0x3a,
0x06, 0x26, 0x16, 0x36, 0x0e, 0x2e, 0x1e, 0x3e,
0x01, 0x21, 0x11, 0x31, 0x09, 0x29, 0x19, 0x39,
0x05, 0x25, 0x15, 0x35, 0x0d, 0x2d, 0x1d, 0x3d,
0x03, 0x23, 0x13, 0x33, 0x0b, 0x2b, 0x1b, 0x3b,
0x07, 0x27, 0x17, 0x37, 0x0f, 0x2f, 0x1f, 0x3f};
static complex_t buf[128];
/* Twiddle factor LUT */
static complex_t *w[7];
static complex_t w_1[1];
static complex_t w_2[2];
static complex_t w_4[4];
static complex_t w_8[8];
static complex_t w_16[16];
static complex_t w_32[32];
static complex_t w_64[64];
/* Twiddle factors for IMDCT */
static float xcos1[128];
static float xsin1[128];
static float xcos2[64];
static float xsin2[64];
/* Delay buffer for time domain interleaving */
static float delay[6][256];
/* Windowing function for Modified DCT - Thank you acroread */
static float window[] = {
0.00014, 0.00024, 0.00037, 0.00051, 0.00067, 0.00086, 0.00107, 0.00130,
0.00157, 0.00187, 0.00220, 0.00256, 0.00297, 0.00341, 0.00390, 0.00443,
0.00501, 0.00564, 0.00632, 0.00706, 0.00785, 0.00871, 0.00962, 0.01061,
0.01166, 0.01279, 0.01399, 0.01526, 0.01662, 0.01806, 0.01959, 0.02121,
0.02292, 0.02472, 0.02662, 0.02863, 0.03073, 0.03294, 0.03527, 0.03770,
0.04025, 0.04292, 0.04571, 0.04862, 0.05165, 0.05481, 0.05810, 0.06153,
0.06508, 0.06878, 0.07261, 0.07658, 0.08069, 0.08495, 0.08935, 0.09389,
0.09859, 0.10343, 0.10842, 0.11356, 0.11885, 0.12429, 0.12988, 0.13563,
0.14152, 0.14757, 0.15376, 0.16011, 0.16661, 0.17325, 0.18005, 0.18699,
0.19407, 0.20130, 0.20867, 0.21618, 0.22382, 0.23161, 0.23952, 0.24757,
0.25574, 0.26404, 0.27246, 0.28100, 0.28965, 0.29841, 0.30729, 0.31626,
0.32533, 0.33450, 0.34376, 0.35311, 0.36253, 0.37204, 0.38161, 0.39126,
0.40096, 0.41072, 0.42054, 0.43040, 0.44030, 0.45023, 0.46020, 0.47019,
0.48020, 0.49022, 0.50025, 0.51028, 0.52031, 0.53033, 0.54033, 0.55031,
0.56026, 0.57019, 0.58007, 0.58991, 0.59970, 0.60944, 0.61912, 0.62873,
0.63827, 0.64774, 0.65713, 0.66643, 0.67564, 0.68476, 0.69377, 0.70269,
0.71150, 0.72019, 0.72877, 0.73723, 0.74557, 0.75378, 0.76186, 0.76981,
0.77762, 0.78530, 0.79283, 0.80022, 0.80747, 0.81457, 0.82151, 0.82831,
0.83496, 0.84145, 0.84779, 0.85398, 0.86001, 0.86588, 0.87160, 0.87716,
0.88257, 0.88782, 0.89291, 0.89785, 0.90264, 0.90728, 0.91176, 0.91610,
0.92028, 0.92432, 0.92822, 0.93197, 0.93558, 0.93906, 0.94240, 0.94560,
0.94867, 0.95162, 0.95444, 0.95713, 0.95971, 0.96217, 0.96451, 0.96674,
0.96887, 0.97089, 0.97281, 0.97463, 0.97635, 0.97799, 0.97953, 0.98099,
0.98236, 0.98366, 0.98488, 0.98602, 0.98710, 0.98811, 0.98905, 0.98994,
0.99076, 0.99153, 0.99225, 0.99291, 0.99353, 0.99411, 0.99464, 0.99513,
0.99558, 0.99600, 0.99639, 0.99674, 0.99706, 0.99736, 0.99763, 0.99788,
0.99811, 0.99831, 0.99850, 0.99867, 0.99882, 0.99895, 0.99908, 0.99919,
0.99929, 0.99938, 0.99946, 0.99953, 0.99959, 0.99965, 0.99969, 0.99974,
0.99978, 0.99981, 0.99984, 0.99986, 0.99988, 0.99990, 0.99992, 0.99993,
0.99994, 0.99995, 0.99996, 0.99997, 0.99998, 0.99998, 0.99998, 0.99999,
0.99999, 0.99999, 0.99999, 1.00000, 1.00000, 1.00000, 1.00000, 1.00000,
1.00000, 1.00000, 1.00000, 1.00000, 1.00000, 1.00000, 1.00000, 1.00000 };
static inline void swap_cmplx(complex_t *a, complex_t *b)
{
complex_t tmp;
tmp = *a;
*a = *b;
*b = tmp;
}
static inline complex_t cmplx_mult(complex_t a, complex_t b)
{
complex_t ret;
ret.real = a.real * b.real - a.imag * b.imag;
ret.imag = a.real * b.imag + a.imag * b.real;
return ret;
}
void imdct_init(void)
{
int i,k;
complex_t angle_step;
complex_t current_angle;
/* Twiddle factors to turn IFFT into IMDCT */
for( i=0; i < 128; i++)
{
xcos1[i] = -cos(2.0f * M_PI * (8*i+1)/(8*N)) ;
xsin1[i] = -sin(2.0f * M_PI * (8*i+1)/(8*N)) ;
}
/* More twiddle factors to turn IFFT into IMDCT */
for( i=0; i < 64; i++)
{
xcos2[i] = -cos(2.0f * M_PI * (8*i+1)/(4*N)) ;
xsin2[i] = -sin(2.0f * M_PI * (8*i+1)/(4*N)) ;
}
/* Canonical twiddle factors for FFT */
w[0] = w_1;
w[1] = w_2;
w[2] = w_4;
w[3] = w_8;
w[4] = w_16;
w[5] = w_32;
w[6] = w_64;
for( i = 0; i < 7; i++)
{
angle_step.real = cos(-2.0 * M_PI / (1 << (i+1)));
angle_step.imag = sin(-2.0 * M_PI / (1 << (i+1)));
current_angle.real = 1.0;
current_angle.imag = 0.0;
for (k = 0; k < 1 << i; k++)
{
w[i][k] = current_angle;
current_angle = cmplx_mult(current_angle,angle_step);
}
}
}
void
imdct_do_512(float data[],float delay[])
{
int i,k;
int p,q;
int m;
int two_m;
int two_m_plus_one;
float tmp_a_i;
float tmp_a_r;
float tmp_b_i;
float tmp_b_r;
float *data_ptr;
float *delay_ptr;
float *window_ptr;
//
// 512 IMDCT with source and dest data in 'data'
//
// Pre IFFT complex multiply plus IFFT cmplx conjugate and bit reverse
// permutation
for( i=0; i < 128; i++)
{
k = bit_reverse_512[i];
/* z[i] = (X[256-2*i-1] + j * X[2*i]) * (xcos1[i] + j * xsin1[i]) ; */
buf[k].real = (data[256-2*i-1] * xcos1[i]) - (data[2*i] * xsin1[i]);
buf[k].imag = -1.0 * ((data[2*i] * xcos1[i]) + (data[256-2*i-1] * xsin1[i]));
}
// FFT Merge
for (m=0; m < 7; m++)
{
if(m)
two_m = (1 << m);
else
two_m = 1;
two_m_plus_one = (1 << (m+1));
for(k = 0; k < two_m; k++)
{
for(i = 0; i < 128; i += two_m_plus_one)
{
p = k + i;
q = p + two_m;
tmp_a_r = buf[p].real;
tmp_a_i = buf[p].imag;
tmp_b_r = buf[q].real * w[m][k].real - buf[q].imag * w[m][k].imag;
tmp_b_i = buf[q].imag * w[m][k].real + buf[q].real * w[m][k].imag;
buf[p].real = tmp_a_r + tmp_b_r;
buf[p].imag = tmp_a_i + tmp_b_i;
buf[q].real = tmp_a_r - tmp_b_r;
buf[q].imag = tmp_a_i - tmp_b_i;
}
}
}
/* Post IFFT complex multiply plus IFFT complex conjugate*/
for( i=0; i < 128; i++)
{
/* y[n] = z[n] * (xcos1[n] + j * xsin1[n]) ; */
tmp_a_r = buf[i].real;
tmp_a_i = buf[i].imag;
//Note that I flipped the signs on the imaginary ops to do the complex conj
buf[i].real =(tmp_a_r * xcos1[i]) + (tmp_a_i * xsin1[i]);
buf[i].imag =(tmp_a_r * xsin1[i]) - (tmp_a_i * xcos1[i]);
}
data_ptr = data;
delay_ptr = delay;
window_ptr = window;
/* Window and convert to real valued signal */
for(i=0; i< 64; i++)
{
*data_ptr++ = 2.0f * (-buf[64+i].imag * *window_ptr++ + *delay_ptr++);
*data_ptr++ = 2.0f * ( buf[64-i-1].real * *window_ptr++ + *delay_ptr++);
}
for(i=0; i< 64; i++)
{
*data_ptr++ = 2.0f * (-buf[i].real * *window_ptr++ + *delay_ptr++);
*data_ptr++ = 2.0f * ( buf[128-i-1].imag * *window_ptr++ + *delay_ptr++);
}
/* The trailing edge of the window goes into the delay line */
delay_ptr = delay;
for(i=0; i< 64; i++)
{
*delay_ptr++ = -buf[64+i].real * *--window_ptr;
*delay_ptr++ = buf[64-i-1].imag * *--window_ptr;
}
for(i=0; i<64; i++)
{
*delay_ptr++ = buf[i].imag * *--window_ptr;
*delay_ptr++ = -buf[128-i-1].real * *--window_ptr;
}
}
void
imdct_do_256(float data[],float delay[])
{
int i,k;
int p,q;
int m;
int two_m;
int two_m_plus_one;
float tmp_a_i;
float tmp_a_r;
float tmp_b_i;
float tmp_b_r;
float *data_ptr;
float *delay_ptr;
float *window_ptr;
complex_t *buf_1, *buf_2;
buf_1 = &buf[0];
buf_2 = &buf[64];
// Pre IFFT complex multiply plus IFFT cmplx conjugate and bit reverse
// permutation
for(i=0; i<64; i++)
{
/* X1[i] = X[2*i] */
/* X2[i] = X[2*i+1] */
k = bit_reverse_256[i];
p = 2 * (128-2*i-1);
q = 2 * (2 * i);
/* Z1[i] = (X1[128-2*i-1] + j * X1[2*i]) * (xcos2[i] + j * xsin2[i]); */
buf_1[k].real = data[p] * xcos2[i] - data[q] * xsin2[i];
buf_1[k].imag = -1.0f * (data[q] * xcos2[i] + data[p] * xsin2[i]);
/* Z2[i] = (X2[128-2*i-1] + j * X2[2*i]) * (xcos2[i] + j * xsin2[i]); */
buf_2[k].real = data[p + 1] * xcos2[i] - data[q + 1] * xsin2[i];
buf_2[k].imag = -1.0f * ( data[q + 1] * xcos2[i] + data[p + 1] * xsin2[i]);
}
// FFT Merge
for (m=0; m < 6; m++)
{
two_m = (1 << m);
two_m_plus_one = (1 << (m+1));
if(m)
two_m = (1 << m);
else
two_m = 1;
for(k = 0; k < two_m; k++)
{
for(i = 0; i < 64; i += two_m_plus_one)
{
p = k + i;
q = p + two_m;
//Do block 1
tmp_a_r = buf_1[p].real;
tmp_a_i = buf_1[p].imag;
tmp_b_r = buf_1[q].real * w[m][k].real - buf_1[q].imag * w[m][k].imag;
tmp_b_i = buf_1[q].imag * w[m][k].real + buf_1[q].real * w[m][k].imag;
buf_1[p].real = tmp_a_r + tmp_b_r;
buf_1[p].imag = tmp_a_i + tmp_b_i;
buf_1[q].real = tmp_a_r - tmp_b_r;
buf_1[q].imag = tmp_a_i - tmp_b_i;
//Do block 2
tmp_a_r = buf_2[p].real;
tmp_a_i = buf_2[p].imag;
tmp_b_r = buf_2[q].real * w[m][k].real - buf_2[q].imag * w[m][k].imag;
tmp_b_i = buf_2[q].imag * w[m][k].real + buf_2[q].real * w[m][k].imag;
buf_2[p].real = tmp_a_r + tmp_b_r;
buf_2[p].imag = tmp_a_i + tmp_b_i;
buf_2[q].real = tmp_a_r - tmp_b_r;
buf_2[q].imag = tmp_a_i - tmp_b_i;
}
}
}
// Post IFFT complex multiply
for( i=0; i < 64; i++)
{
//Note that I flipped the signs on the imaginary ops to do the complex conj
/* y1[n] = z1[n] * (xcos2[n] + j * xs in2[n]) ; */
tmp_a_r = buf_1[i].real;
tmp_a_i = buf_1[i].imag;
buf_1[i].real =(tmp_a_r * xcos2[i]) + (tmp_a_i * xsin2[i]);
buf_1[i].imag =(tmp_a_r * xsin2[i]) - (tmp_a_i * xcos2[i]);
/* y2[n] = z2[n] * (xcos2[n] + j * xsin2[n]) ; */
tmp_a_r = buf_2[i].real;
tmp_a_i = buf_2[i].imag;
buf_2[i].real =(tmp_a_r * xcos2[i]) + (tmp_a_i * xsin2[i]);
buf_2[i].imag =(tmp_a_r * xsin2[i]) - (tmp_a_i * xcos2[i]);
}
data_ptr = data;
delay_ptr = delay;
window_ptr = window;
/* Window and convert to real valued signal */
for(i=0; i< 64; i++)
{
*data_ptr++ = 2.0f * (-buf_1[i].imag * *window_ptr++ + *delay_ptr++);
*data_ptr++ = 2.0f * ( buf_1[64-i-1].real * *window_ptr++ + *delay_ptr++);
}
for(i=0; i< 64; i++)
{
*data_ptr++ = 2.0f * (-buf_1[i].real * *window_ptr++ + *delay_ptr++);
*data_ptr++ = 2.0f * ( buf_1[64-i-1].imag * *window_ptr++ + *delay_ptr++);
}
delay_ptr = delay;
for(i=0; i< 64; i++)
{
*delay_ptr++ = -buf_2[i].real * *--window_ptr;
*delay_ptr++ = buf_2[64-i-1].imag * *--window_ptr;
}
for(i=0; i< 64; i++)
{
*delay_ptr++ = buf_2[i].imag * *--window_ptr;
*delay_ptr++ = -buf_2[64-i-1].real * *--window_ptr;
}
}
//FIXME remove - for timing code
///#include <sys/time.h>
//FIXME remove
void
imdct(bsi_t *bsi,audblk_t *audblk, stream_samples_t samples) {
int i;
//handy timing code
//struct timeval start,end;
//gettimeofday(&start,0);
for(i=0; i<bsi->nfchans;i++)
{
if(audblk->blksw[i])
imdct_do_256(samples[i],delay[i]);
else
imdct_do_512(samples[i],delay[i]);
}
//gettimeofday(&end,0);
//printf("imdct %ld us\n",(end.tv_sec - start.tv_sec) * 1000000 +
//end.tv_usec - start.tv_usec);
//XXX We don't bother with the IMDCT for the LFE as it's currently
//unused.
//if (bsi->lfeon)
// imdct_do_512(coeffs->lfe,samples->channel[5],delay[5]);
//
}
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