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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
- #define M_PI 3.14159265358979323846264
-
- /* 128 point bit-reverse LUT */
- static uint_8 bit_reverse_512[] = {
- 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[] = {
- 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[] = {
- 0.00014f, 0.00024f, 0.00037f, 0.00051f, 0.00067f, 0.00086f, 0.00107f, 0.00130f,
- 0.00157f, 0.00187f, 0.00220f, 0.00256f, 0.00297f, 0.00341f, 0.00390f, 0.00443f,
- 0.00501f, 0.00564f, 0.00632f, 0.00706f, 0.00785f, 0.00871f, 0.00962f, 0.01061f,
- 0.01166f, 0.01279f, 0.01399f, 0.01526f, 0.01662f, 0.01806f, 0.01959f, 0.02121f,
- 0.02292f, 0.02472f, 0.02662f, 0.02863f, 0.03073f, 0.03294f, 0.03527f, 0.03770f,
- 0.04025f, 0.04292f, 0.04571f, 0.04862f, 0.05165f, 0.05481f, 0.05810f, 0.06153f,
- 0.06508f, 0.06878f, 0.07261f, 0.07658f, 0.08069f, 0.08495f, 0.08935f, 0.09389f,
- 0.09859f, 0.10343f, 0.10842f, 0.11356f, 0.11885f, 0.12429f, 0.12988f, 0.13563f,
- 0.14152f, 0.14757f, 0.15376f, 0.16011f, 0.16661f, 0.17325f, 0.18005f, 0.18699f,
- 0.19407f, 0.20130f, 0.20867f, 0.21618f, 0.22382f, 0.23161f, 0.23952f, 0.24757f,
- 0.25574f, 0.26404f, 0.27246f, 0.28100f, 0.28965f, 0.29841f, 0.30729f, 0.31626f,
- 0.32533f, 0.33450f, 0.34376f, 0.35311f, 0.36253f, 0.37204f, 0.38161f, 0.39126f,
- 0.40096f, 0.41072f, 0.42054f, 0.43040f, 0.44030f, 0.45023f, 0.46020f, 0.47019f,
- 0.48020f, 0.49022f, 0.50025f, 0.51028f, 0.52031f, 0.53033f, 0.54033f, 0.55031f,
- 0.56026f, 0.57019f, 0.58007f, 0.58991f, 0.59970f, 0.60944f, 0.61912f, 0.62873f,
- 0.63827f, 0.64774f, 0.65713f, 0.66643f, 0.67564f, 0.68476f, 0.69377f, 0.70269f,
- 0.71150f, 0.72019f, 0.72877f, 0.73723f, 0.74557f, 0.75378f, 0.76186f, 0.76981f,
- 0.77762f, 0.78530f, 0.79283f, 0.80022f, 0.80747f, 0.81457f, 0.82151f, 0.82831f,
- 0.83496f, 0.84145f, 0.84779f, 0.85398f, 0.86001f, 0.86588f, 0.87160f, 0.87716f,
- 0.88257f, 0.88782f, 0.89291f, 0.89785f, 0.90264f, 0.90728f, 0.91176f, 0.91610f,
- 0.92028f, 0.92432f, 0.92822f, 0.93197f, 0.93558f, 0.93906f, 0.94240f, 0.94560f,
- 0.94867f, 0.95162f, 0.95444f, 0.95713f, 0.95971f, 0.96217f, 0.96451f, 0.96674f,
- 0.96887f, 0.97089f, 0.97281f, 0.97463f, 0.97635f, 0.97799f, 0.97953f, 0.98099f,
- 0.98236f, 0.98366f, 0.98488f, 0.98602f, 0.98710f, 0.98811f, 0.98905f, 0.98994f,
- 0.99076f, 0.99153f, 0.99225f, 0.99291f, 0.99353f, 0.99411f, 0.99464f, 0.99513f,
- 0.99558f, 0.99600f, 0.99639f, 0.99674f, 0.99706f, 0.99736f, 0.99763f, 0.99788f,
- 0.99811f, 0.99831f, 0.99850f, 0.99867f, 0.99882f, 0.99895f, 0.99908f, 0.99919f,
- 0.99929f, 0.99938f, 0.99946f, 0.99953f, 0.99959f, 0.99965f, 0.99969f, 0.99974f,
- 0.99978f, 0.99981f, 0.99984f, 0.99986f, 0.99988f, 0.99990f, 0.99992f, 0.99993f,
- 0.99994f, 0.99995f, 0.99996f, 0.99997f, 0.99998f, 0.99998f, 0.99998f, 0.99999f,
- 0.99999f, 0.99999f, 0.99999f, 1.00000f, 1.00000f, 1.00000f, 1.00000f, 1.00000f,
- 1.00000f, 1.00000f, 1.00000f, 1.00000f, 1.00000f, 1.00000f, 1.00000f, 1.00000f };
-
-
- 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] = (float)-cos(2.0f * M_PI * (8*i+1)/(8*N)) ;
- xsin1[i] = (float)-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] = (float)-cos(2.0f * M_PI * (8*i+1)/(4*N)) ;
- xsin2[i] = (float)-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 = (float)cos(-2.0 * M_PI / (1 << (i+1)));
- angle_step.imag = (float)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
- for( i=0; i < 128; i++)
- {
- /* z[i] = (X[256-2*i-1] + j * X[2*i]) * (xcos1[i] + j * xsin1[i]) ; */
- buf[i].real = (data[256-2*i-1] * xcos1[i]) - (data[2*i] * xsin1[i]);
- buf[i].imag = -1.0f * ((data[2*i] * xcos1[i]) + (data[256-2*i-1] * xsin1[i]));
- }
-
- //Bit reversed shuffling
- for(i=0; i<128; i++)
- {
- k = bit_reverse_512[i];
- if (k < i)
- swap_cmplx(&buf[i],&buf[k]);
- }
-
- /* 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 = -1.0f * buf[i].imag;
- 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 */
- for(k=0; k<64; k++)
- {
- /* X1[k] = X[2*k] */
- /* X2[k] = X[2*k+1] */
-
- p = 2 * (128-2*k-1);
- q = 2 * (2 * k);
-
- /* Z1[k] = (X1[128-2*k-1] + j * X1[2*k]) * (xcos2[k] + j * xsin2[k]); */
- buf_1[k].real = data[p] * xcos2[k] - data[q] * xsin2[k];
- buf_1[k].imag = -1.0f * (data[q] * xcos2[k] + data[p] * xsin2[k]);
- /* Z2[k] = (X2[128-2*k-1] + j * X2[2*k]) * (xcos2[k] + j * xsin2[k]); */
- buf_2[k].real = data[p + 1] * xcos2[k] - data[q + 1] * xsin2[k];
- buf_2[k].imag = -1.0f * ( data[q + 1] * xcos2[k] + data[p + 1] * xsin2[k]);
- }
-
- //IFFT Bit reversed shuffling
- for(i=0; i<64; i++)
- {
- k = bit_reverse_256[i];
- if (k < i)
- {
- swap_cmplx(&buf_1[i],&buf_1[k]);
- swap_cmplx(&buf_2[i],&buf_2[k]);
- }
- }
-
- /* FFT Merge */
- for (m=0; m < 6; m++)
- {
- two_m = (1 << m);
- two_m_plus_one = (1 << (m+1));
-
- //FIXME
- 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++)
- {
- /* 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]);
- //
- }
-