Add generic IIR filter interface with Butterworth lowpass filter implementation
and remove obsoleted old lowpass filter. Originally committed as revision 15005 to svn://svn.ffmpeg.org/ffmpeg/trunk
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libavcodec/iirfilter.c
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164
libavcodec/iirfilter.c
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/*
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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 FFmpeg.
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*
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* FFmpeg 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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* FFmpeg 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 FFmpeg; 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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* @file iirfilter.c
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* different IIR filters implementation
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*/
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#include "iirfilter.h"
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#include <complex.h>
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#include <math.h>
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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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* 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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/// maximum supported filter order
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#define MAXORDER 30
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struct FFIIRFilterCoeffs* ff_iir_filter_init_coeffs(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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int i, j, size;
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FFIIRFilterCoeffs *c;
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double wa;
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complex p[MAXORDER + 1];
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if(filt_type != FF_FILTER_TYPE_BUTTERWORTH || filt_mode != FF_FILTER_MODE_LOWPASS)
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return NULL;
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if(order <= 1 || (order & 1) || order > MAXORDER || cutoff_ratio >= 1.0)
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return NULL;
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c = av_malloc(sizeof(FFIIRFilterCoeffs));
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c->cx = av_malloc(sizeof(c->cx[0]) * ((order >> 1) + 1));
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c->cy = av_malloc(sizeof(c->cy[0]) * order);
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c->order = order;
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wa = 2 * tan(M_PI * 0.5 * cutoff_ratio);
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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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p[0] = 1.0;
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for(i = 1; i <= order; i++)
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p[i] = 0.0;
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for(i = 0; i < order; i++){
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complex zp;
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double th = (i + (order >> 1) + 0.5) * M_PI / order;
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zp = cexp(I*th) * wa;
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zp = (zp + 2.0) / (zp - 2.0);
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for(j = order; j >= 1; j--)
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p[j] = zp*p[j] + p[j - 1];
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p[0] *= zp;
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}
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c->gain = creal(p[order]);
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for(i = 0; i < order; i++){
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c->gain += creal(p[i]);
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c->cy[i] = creal(-p[i] / p[order]);
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}
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c->gain /= 1 << order;
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return c;
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}
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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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#define FILTER(i0, i1, i2, i3) \
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in = *src * 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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*dst = av_clip_int16(lrintf(res)); \
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s->x[i0] = in; \
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src += sstep; \
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dst += dstep; \
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void ff_iir_filter(const struct FFIIRFilterCoeffs *c, struct FFIIRFilterState *s, int size, const int16_t *src, int sstep, int16_t *dst, int dstep)
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{
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int i;
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if(c->order == 4){
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for(i = 0; i < size; i += 4){
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float in, res;
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FILTER(0, 1, 2, 3);
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FILTER(1, 2, 3, 0);
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FILTER(2, 3, 0, 1);
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FILTER(3, 0, 1, 2);
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}
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}else{
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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 = *src * 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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*dst = av_clip_int16(lrintf(res));
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s->x[c->order - 1] = in;
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src += sstep;
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dst += sstep;
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}
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}
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}
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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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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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@ -1,5 +1,5 @@
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/*
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* Lowpass IIR filter
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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 FFmpeg.
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@ -20,27 +20,48 @@
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*/
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/**
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* @file lowpass.h
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* lowpass filter interface
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* @file iirfilter.h
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* IIR filter interface
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*/
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#ifndef FFMPEG_LOWPASS_H
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#define FFMPEG_LOWPASS_H
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#ifndef FFMPEG_IIRFILTER_H
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#define FFMPEG_IIRFILTER_H
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#include "avcodec.h"
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struct FFLPFilterCoeffs;
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struct FFLPFilterState;
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struct FFIIRFilterCoeffs;
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struct FFIIRFilterState;
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enum IIRFilterType{
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FF_FILTER_TYPE_BESSEL,
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FF_FILTER_TYPE_BUTTERWORTH,
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FF_FILTER_TYPE_CHEBYSHEV,
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FF_FILTER_TYPE_ELLIPTIC,
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};
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enum IIRFilterMode{
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FF_FILTER_MODE_LOWPASS,
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FF_FILTER_MODE_HIGHPASS,
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FF_FILTER_MODE_BANDPASS,
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FF_FILTER_MODE_BANDSTOP,
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};
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/**
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* Initialize filter coefficients.
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*
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* @param filt_type filter type (e.g. Butterworth)
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* @param filt_mode filter mode (e.g. lowpass)
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* @param order filter order
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* @param cutoff_ratio cutoff to input frequency ratio
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* @param stopband stopband to input frequency ratio (used by bandpass and bandstop filter modes)
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* @param ripple ripple factor (used only in Chebyshev filters)
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*
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* @return pointer to filter coefficients structure or NULL if filter cannot be created
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*/
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const struct FFLPFilterCoeffs* ff_lowpass_filter_init_coeffs(int order, float cutoff_ratio);
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struct FFIIRFilterCoeffs* ff_iir_filter_init_coeffs(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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* Create new filter state.
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@ -49,23 +70,21 @@ const struct FFLPFilterCoeffs* ff_lowpass_filter_init_coeffs(int order, float cu
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*
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* @return pointer to new filter state or NULL if state creation fails
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*/
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struct FFLPFilterState* ff_lowpass_filter_init_state(int order);
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struct FFIIRFilterState* ff_iir_filter_init_state(int order);
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#if 0 //enable with arbitrary order filter implementation, use av_free() for filter state only for now
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/**
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* Free filter coefficients.
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*
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* @param coeffs pointer allocated with ff_lowpass_filter_init_coeffs()
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* @param coeffs pointer allocated with ff_iir_filter_init_coeffs()
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*/
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void ff_lowpass_filter_free_coeffs(struct FFLPFilterCoeffs *coeffs);
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void ff_iir_filter_free_coeffs(struct FFIIRFilterCoeffs *coeffs);
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/**
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* Free filter state.
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*
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* @param state pointer allocated with ff_lowpass_filter_init_state()
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* @param state pointer allocated with ff_iir_filter_init_state()
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*/
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void ff_lowpass_filter_free_state(struct FFLPFilterState *state);
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#endif
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void ff_iir_filter_free_state(struct FFIIRFilterState *state);
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/**
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* Perform lowpass filtering on input samples.
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@ -78,6 +97,7 @@ void ff_lowpass_filter_free_state(struct FFLPFilterState *state);
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* @param dst filtered samples (destination may be the same as input)
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* @param dstep destination stride
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*/
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void ff_lowpass_filter(const struct FFLPFilterCoeffs *coeffs, struct FFLPFilterState *state, int size, int16_t *src, int sstep, int16_t *dst, int dstep);
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void ff_iir_filter(const struct FFIIRFilterCoeffs *coeffs, struct FFIIRFilterState *state,
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int size, const int16_t *src, int sstep, int16_t *dst, int dstep);
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#endif /* FFMPEG_LOWPASS_H */
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#endif /* FFMPEG_IIRFILTER_H */
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@ -1,129 +0,0 @@
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/*
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* Lowpass IIR filter
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* Copyright (c) 2008 Konstantin Shishkov
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*
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* This file is part of FFmpeg.
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*
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* FFmpeg 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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* FFmpeg 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 FFmpeg; 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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* @file lowpass.c
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* lowpass filter implementation
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*/
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#include "lowpass.h"
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/**********************
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* TODO:
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* support filters with order != 4
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* calculate coefficients for filter instead of taking approximate ones from the table
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*********************/
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/** filter order */
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#define LOWPASS_FILTER_ORDER 4
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/**
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* IIR filter global parameters
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*/
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typedef struct FFLPFilterCoeffs{
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float gain;
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float c[LOWPASS_FILTER_ORDER];
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}FFLPFilterCoeffs;
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/**
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* filter data for 4th order IIR lowpass Butterworth filter
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*/
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static const FFLPFilterCoeffs lp_filter_coeffs[] = {
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{ 9.398085e-01, { -0.0176648009, 0.0000000000, -0.4860288221, 0.0000000000 } },
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{ 6.816645e-01, { -0.4646665999, -2.2127207402, -3.9912017501, -3.2380429984 } },
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{ 4.998150e-01, { -0.2498216698, -1.3392807613, -2.7693097862, -2.6386277439 } },
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{ 3.103469e-01, { -0.0965076902, -0.5977763360, -1.4972580903, -1.7740085241 } },
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{ 2.346995e-01, { -0.0557639007, -0.3623690447, -1.0304538354, -1.3066051440 } },
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{ 1.528432e-01, { -0.0261686639, -0.1473794606, -0.6204721225, -0.6514716536 } },
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{ 6.917529e-02, { -0.0202414073, 0.0780167640, -0.5277442247, 0.3631641670 } },
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{ 6.178391e-02, { -0.0223681543, 0.1069446609, -0.5615167033, 0.4883976841 } },
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{ 5.298685e-02, { -0.0261686639, 0.1473794606, -0.6204721225, 0.6514716536 } },
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{ 2.229030e-02, { -0.0647354087, 0.4172275190, -1.1412129810, 1.4320761385 } },
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{ 1.693903e-02, { -0.0823177861, 0.5192354923, -1.3444768251, 1.6365345642 } },
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{ 7.374053e-03, { -0.1481421788, 0.8650973862, -1.9894244796, 2.1544844308 } },
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{ 5.541768e-03, { -0.1742301048, 0.9921936565, -2.2090801108, 2.3024482658 } },
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};
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/** cutoff ratios for lp_filter_data[] */
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static const float lp_cutoff_ratios[] = {
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0.5000000000, 0.4535147392, 0.4166666667, 0.3628117914,
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0.3333333333, 0.2916666667, 0.2267573696, 0.2187500000,
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0.2083333333, 0.1587301587, 0.1458333333, 0.1133786848,
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0.1041666667,
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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 FFLPFilterState{
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float x[LOWPASS_FILTER_ORDER];
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}FFLPFilterState;
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const struct FFLPFilterCoeffs* ff_lowpass_filter_init_coeffs(int order, float cutoff_ratio)
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{
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int i, size;
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//we can create only order-4 filters with cutoff ratio <= 0.5 for now
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if(order != LOWPASS_FILTER_ORDER) return NULL;
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size = sizeof(lp_cutoff_ratios) / sizeof(lp_cutoff_ratios[0]);
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if(cutoff_ratio > lp_cutoff_ratios[0])
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return NULL;
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for(i = 0; i < size; i++){
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if(cutoff_ratio >= lp_cutoff_ratios[i])
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break;
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}
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if(i == size)
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i = size - 1;
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return &lp_filter_coeffs[i];
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}
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struct FFLPFilterState* ff_lowpass_filter_init_state(int order)
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{
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if(order != LOWPASS_FILTER_ORDER) return NULL;
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return av_mallocz(sizeof(FFLPFilterState));
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}
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#define FILTER(i0, i1, i2, i3) \
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in = *src * c->gain \
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+ c->c[0]*s->x[i0] + c->c[1]*s->x[i1] \
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+ c->c[2]*s->x[i2] + c->c[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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*dst = av_clip_int16(lrintf(res)); \
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s->x[i0] = in; \
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src += sstep; \
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dst += dstep; \
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void ff_lowpass_filter(const struct FFLPFilterCoeffs *c, struct FFLPFilterState *s, int size, int16_t *src, int sstep, int16_t *dst, int dstep)
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{
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int i;
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for(i = 0; i < size; i += 4){
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float in, res;
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FILTER(0, 1, 2, 3);
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FILTER(1, 2, 3, 0);
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FILTER(2, 3, 0, 1);
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FILTER(3, 0, 1, 2);
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}
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}
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