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			348 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			348 lines
		
	
	
		
			12 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /*
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|  * IIR filter
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|  * Copyright (c) 2008 Konstantin Shishkov
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|  *
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|  * This file is part of Libav.
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|  *
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|  * Libav is free software; you can redistribute it and/or
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|  * modify it under the terms of the GNU Lesser General Public
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|  * License as published by the Free Software Foundation; either
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|  * version 2.1 of the License, or (at your option) any later version.
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|  *
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|  * Libav is distributed in the hope that it will be useful,
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|  * but WITHOUT ANY WARRANTY; without even the implied warranty of
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|  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
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|  * Lesser General Public License for more details.
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|  *
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|  * You should have received a copy of the GNU Lesser General Public
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|  * License along with Libav; if not, write to the Free Software
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|  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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|  */
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| 
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| /**
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|  * @file
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|  * different IIR filters implementation
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|  */
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| 
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| #include "iirfilter.h"
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| #include <math.h>
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| #include "libavutil/attributes.h"
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| #include "libavutil/common.h"
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| 
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| /**
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|  * IIR filter global parameters
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|  */
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| typedef struct FFIIRFilterCoeffs{
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|     int   order;
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|     float gain;
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|     int   *cx;
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|     float *cy;
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| }FFIIRFilterCoeffs;
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| 
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| /**
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|  * IIR filter state
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|  */
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| typedef struct FFIIRFilterState{
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|     float x[1];
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| }FFIIRFilterState;
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| 
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| /// maximum supported filter order
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| #define MAXORDER 30
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| 
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| static av_cold int butterworth_init_coeffs(void *avc,
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|                                            struct FFIIRFilterCoeffs *c,
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|                                            enum IIRFilterMode filt_mode,
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|                                            int order, float cutoff_ratio,
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|                                            float stopband)
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| {
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|     int i, j;
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|     double wa;
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|     double p[MAXORDER + 1][2];
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| 
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|     if (filt_mode != FF_FILTER_MODE_LOWPASS) {
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|         av_log(avc, AV_LOG_ERROR, "Butterworth filter currently only supports "
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|                "low-pass filter mode\n");
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|         return -1;
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|     }
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|     if (order & 1) {
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|         av_log(avc, AV_LOG_ERROR, "Butterworth filter currently only supports "
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|                "even filter orders\n");
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|         return -1;
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|     }
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| 
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|     wa = 2 * tan(M_PI * 0.5 * cutoff_ratio);
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| 
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|     c->cx[0] = 1;
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|     for(i = 1; i < (order >> 1) + 1; i++)
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|         c->cx[i] = c->cx[i - 1] * (order - i + 1LL) / i;
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| 
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|     p[0][0] = 1.0;
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|     p[0][1] = 0.0;
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|     for(i = 1; i <= order; i++)
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|         p[i][0] = p[i][1] = 0.0;
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|     for(i = 0; i < order; i++){
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|         double zp[2];
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|         double th = (i + (order >> 1) + 0.5) * M_PI / order;
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|         double a_re, a_im, c_re, c_im;
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|         zp[0] = cos(th) * wa;
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|         zp[1] = sin(th) * wa;
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|         a_re = zp[0] + 2.0;
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|         c_re = zp[0] - 2.0;
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|         a_im =
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|         c_im = zp[1];
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|         zp[0] = (a_re * c_re + a_im * c_im) / (c_re * c_re + c_im * c_im);
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|         zp[1] = (a_im * c_re - a_re * c_im) / (c_re * c_re + c_im * c_im);
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| 
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|         for(j = order; j >= 1; j--)
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|         {
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|             a_re = p[j][0];
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|             a_im = p[j][1];
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|             p[j][0] = a_re*zp[0] - a_im*zp[1] + p[j-1][0];
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|             p[j][1] = a_re*zp[1] + a_im*zp[0] + p[j-1][1];
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|         }
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|         a_re    = p[0][0]*zp[0] - p[0][1]*zp[1];
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|         p[0][1] = p[0][0]*zp[1] + p[0][1]*zp[0];
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|         p[0][0] = a_re;
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|     }
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|     c->gain = p[order][0];
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|     for(i = 0; i < order; i++){
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|         c->gain += p[i][0];
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|         c->cy[i] = (-p[i][0] * p[order][0] + -p[i][1] * p[order][1]) /
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|                    (p[order][0] * p[order][0] + p[order][1] * p[order][1]);
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|     }
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|     c->gain /= 1 << order;
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| 
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|     return 0;
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| }
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| 
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| static av_cold int biquad_init_coeffs(void *avc, struct FFIIRFilterCoeffs *c,
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|                                       enum IIRFilterMode filt_mode, int order,
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|                                       float cutoff_ratio, float stopband)
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| {
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|     double cos_w0, sin_w0;
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|     double a0, x0, x1;
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| 
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|     if (filt_mode != FF_FILTER_MODE_HIGHPASS &&
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|         filt_mode != FF_FILTER_MODE_LOWPASS) {
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|         av_log(avc, AV_LOG_ERROR, "Biquad filter currently only supports "
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|                "high-pass and low-pass filter modes\n");
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|         return -1;
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|     }
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|     if (order != 2) {
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|         av_log(avc, AV_LOG_ERROR, "Biquad filter must have order of 2\n");
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|         return -1;
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|     }
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| 
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|     cos_w0 = cos(M_PI * cutoff_ratio);
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|     sin_w0 = sin(M_PI * cutoff_ratio);
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| 
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|     a0 = 1.0 + (sin_w0 / 2.0);
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| 
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|     if (filt_mode == FF_FILTER_MODE_HIGHPASS) {
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|         c->gain  =  ((1.0 + cos_w0) / 2.0)  / a0;
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|         x0       =  ((1.0 + cos_w0) / 2.0)  / a0;
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|         x1       = (-(1.0 + cos_w0))        / a0;
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|     } else { // FF_FILTER_MODE_LOWPASS
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|         c->gain  =  ((1.0 - cos_w0) / 2.0)  / a0;
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|         x0       =  ((1.0 - cos_w0) / 2.0)  / a0;
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|         x1       =   (1.0 - cos_w0)         / a0;
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|     }
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|     c->cy[0] = (-1.0 + (sin_w0 / 2.0)) / a0;
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|     c->cy[1] =  (2.0 *  cos_w0)        / a0;
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| 
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|     // divide by gain to make the x coeffs integers.
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|     // during filtering, the delay state will include the gain multiplication
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|     c->cx[0] = lrintf(x0 / c->gain);
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|     c->cx[1] = lrintf(x1 / c->gain);
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| 
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|     return 0;
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| }
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| 
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| av_cold struct FFIIRFilterCoeffs* ff_iir_filter_init_coeffs(void *avc,
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|                                                 enum IIRFilterType filt_type,
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|                                                 enum IIRFilterMode filt_mode,
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|                                                 int order, float cutoff_ratio,
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|                                                 float stopband, float ripple)
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| {
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|     FFIIRFilterCoeffs *c;
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|     int ret = 0;
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| 
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|     if (order <= 0 || order > MAXORDER || cutoff_ratio >= 1.0)
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|         return NULL;
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| 
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|     FF_ALLOCZ_OR_GOTO(avc, c,     sizeof(FFIIRFilterCoeffs),
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|                       init_fail);
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|     FF_ALLOC_OR_GOTO (avc, c->cx, sizeof(c->cx[0]) * ((order >> 1) + 1),
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|                       init_fail);
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|     FF_ALLOC_OR_GOTO (avc, c->cy, sizeof(c->cy[0]) * order,
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|                       init_fail);
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|     c->order = order;
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| 
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|     switch (filt_type) {
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|     case FF_FILTER_TYPE_BUTTERWORTH:
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|         ret = butterworth_init_coeffs(avc, c, filt_mode, order, cutoff_ratio,
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|                                       stopband);
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|         break;
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|     case FF_FILTER_TYPE_BIQUAD:
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|         ret = biquad_init_coeffs(avc, c, filt_mode, order, cutoff_ratio,
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|                                  stopband);
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|         break;
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|     default:
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|         av_log(avc, AV_LOG_ERROR, "filter type is not currently implemented\n");
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|         goto init_fail;
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|     }
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| 
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|     if (!ret)
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|         return c;
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| 
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| init_fail:
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|     ff_iir_filter_free_coeffs(c);
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|     return NULL;
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| }
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| 
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| av_cold struct FFIIRFilterState* ff_iir_filter_init_state(int order)
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| {
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|     FFIIRFilterState* s = av_mallocz(sizeof(FFIIRFilterState) + sizeof(s->x[0]) * (order - 1));
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|     return s;
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| }
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| 
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| #define CONV_S16(dest, source) dest = av_clip_int16(lrintf(source));
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| 
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| #define CONV_FLT(dest, source) dest = source;
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| 
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| #define FILTER_BW_O4_1(i0, i1, i2, i3, fmt)         \
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|     in = *src0 * c->gain                            \
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|          + c->cy[0]*s->x[i0] + c->cy[1]*s->x[i1]    \
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|          + c->cy[2]*s->x[i2] + c->cy[3]*s->x[i3];   \
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|     res =  (s->x[i0] + in      )*1                  \
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|          + (s->x[i1] + s->x[i3])*4                  \
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|          +  s->x[i2]            *6;                 \
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|     CONV_##fmt(*dst0, res)                          \
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|     s->x[i0] = in;                                  \
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|     src0 += sstep;                                  \
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|     dst0 += dstep;
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| 
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| #define FILTER_BW_O4(type, fmt) {           \
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|     int i;                                  \
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|     const type *src0 = src;                 \
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|     type       *dst0 = dst;                 \
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|     for (i = 0; i < size; i += 4) {         \
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|         float in, res;                      \
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|         FILTER_BW_O4_1(0, 1, 2, 3, fmt);    \
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|         FILTER_BW_O4_1(1, 2, 3, 0, fmt);    \
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|         FILTER_BW_O4_1(2, 3, 0, 1, fmt);    \
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|         FILTER_BW_O4_1(3, 0, 1, 2, fmt);    \
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|     }                                       \
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| }
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| 
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| #define FILTER_DIRECT_FORM_II(type, fmt) {                                  \
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|     int i;                                                                  \
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|     const type *src0 = src;                                                 \
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|     type       *dst0 = dst;                                                 \
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|     for (i = 0; i < size; i++) {                                            \
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|         int j;                                                              \
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|         float in, res;                                                      \
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|         in = *src0 * c->gain;                                               \
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|         for(j = 0; j < c->order; j++)                                       \
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|             in += c->cy[j] * s->x[j];                                       \
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|         res = s->x[0] + in + s->x[c->order >> 1] * c->cx[c->order >> 1];    \
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|         for(j = 1; j < c->order >> 1; j++)                                  \
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|             res += (s->x[j] + s->x[c->order - j]) * c->cx[j];               \
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|         for(j = 0; j < c->order - 1; j++)                                   \
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|             s->x[j] = s->x[j + 1];                                          \
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|         CONV_##fmt(*dst0, res)                                              \
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|         s->x[c->order - 1] = in;                                            \
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|         src0 += sstep;                                                      \
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|         dst0 += dstep;                                                      \
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|     }                                                                       \
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| }
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| 
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| #define FILTER_O2(type, fmt) {                                              \
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|     int i;                                                                  \
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|     const type *src0 = src;                                                 \
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|     type       *dst0 = dst;                                                 \
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|     for (i = 0; i < size; i++) {                                            \
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|         float in = *src0   * c->gain  +                                     \
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|                    s->x[0] * c->cy[0] +                                     \
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|                    s->x[1] * c->cy[1];                                      \
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|         CONV_##fmt(*dst0, s->x[0] + in + s->x[1] * c->cx[1])                \
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|         s->x[0] = s->x[1];                                                  \
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|         s->x[1] = in;                                                       \
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|         src0 += sstep;                                                      \
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|         dst0 += dstep;                                                      \
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|     }                                                                       \
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| }
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| 
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| void ff_iir_filter(const struct FFIIRFilterCoeffs *c,
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|                    struct FFIIRFilterState *s, int size,
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|                    const int16_t *src, int sstep, int16_t *dst, int dstep)
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| {
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|     if (c->order == 2) {
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|         FILTER_O2(int16_t, S16)
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|     } else if (c->order == 4) {
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|         FILTER_BW_O4(int16_t, S16)
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|     } else {
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|         FILTER_DIRECT_FORM_II(int16_t, S16)
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|     }
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| }
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| 
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| void ff_iir_filter_flt(const struct FFIIRFilterCoeffs *c,
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|                        struct FFIIRFilterState *s, int size,
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|                        const float *src, int sstep, float *dst, int dstep)
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| {
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|     if (c->order == 2) {
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|         FILTER_O2(float, FLT)
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|     } else if (c->order == 4) {
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|         FILTER_BW_O4(float, FLT)
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|     } else {
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|         FILTER_DIRECT_FORM_II(float, FLT)
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|     }
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| }
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| 
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| av_cold void ff_iir_filter_free_state(struct FFIIRFilterState *state)
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| {
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|     av_free(state);
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| }
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| 
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| av_cold void ff_iir_filter_free_coeffs(struct FFIIRFilterCoeffs *coeffs)
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| {
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|     if(coeffs){
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|         av_free(coeffs->cx);
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|         av_free(coeffs->cy);
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|     }
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|     av_free(coeffs);
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| }
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| 
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| #ifdef TEST
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| #include <stdio.h>
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| 
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| #define FILT_ORDER 4
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| #define SIZE 1024
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| int main(void)
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| {
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|     struct FFIIRFilterCoeffs *fcoeffs = NULL;
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|     struct FFIIRFilterState  *fstate  = NULL;
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|     float cutoff_coeff = 0.4;
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|     int16_t x[SIZE], y[SIZE];
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|     int i;
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| 
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|     fcoeffs = ff_iir_filter_init_coeffs(NULL, FF_FILTER_TYPE_BUTTERWORTH,
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|                                         FF_FILTER_MODE_LOWPASS, FILT_ORDER,
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|                                         cutoff_coeff, 0.0, 0.0);
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|     fstate  = ff_iir_filter_init_state(FILT_ORDER);
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| 
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|     for (i = 0; i < SIZE; i++) {
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|         x[i] = lrint(0.75 * INT16_MAX * sin(0.5*M_PI*i*i/SIZE));
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|     }
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| 
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|     ff_iir_filter(fcoeffs, fstate, SIZE, x, 1, y, 1);
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| 
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|     for (i = 0; i < SIZE; i++)
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|         printf("%6d %6d\n", x[i], y[i]);
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| 
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|     ff_iir_filter_free_coeffs(fcoeffs);
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|     ff_iir_filter_free_state(fstate);
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|     return 0;
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| }
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| #endif /* TEST */
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